<?xml version="1.0" encoding="UTF-8"?>

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:019fae60-bd09-78ce-a02b-966bce26d047,g:64c0fc8c-6fc4-4457-94ed-0792f769fe28-->
<link:linkbase xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.xbrl.org/2003/linkbase http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd">
  <link:roleRef roleURI="http://www.xbrl.org/2009/role/negatedPeriodStartLabel" xlink:type="simple" xlink:href="http://www.xbrl.org/lrr/role/negated-2009-12-16.xsd#negatedPeriodStartLabel"/>
  <link:roleRef roleURI="http://www.xbrl.org/2009/role/netLabel" xlink:type="simple" xlink:href="http://www.xbrl.org/lrr/role/net-2009-12-16.xsd#netLabel"/>
  <link:roleRef roleURI="http://www.xbrl.org/2009/role/negatedNetLabel" xlink:type="simple" xlink:href="http://www.xbrl.org/lrr/role/negated-2009-12-16.xsd#negatedNetLabel"/>
  <link:roleRef roleURI="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="simple" xlink:href="http://www.xbrl.org/lrr/role/negated-2009-12-16.xsd#negatedTerseLabel"/>
  <link:roleRef roleURI="http://www.xbrl.org/2009/role/negatedPeriodEndLabel" xlink:type="simple" xlink:href="http://www.xbrl.org/lrr/role/negated-2009-12-16.xsd#negatedPeriodEndLabel"/>
  <link:roleRef roleURI="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="simple" xlink:href="http://www.xbrl.org/lrr/role/negated-2009-12-16.xsd#negatedLabel"/>
  <link:roleRef roleURI="http://www.xbrl.org/2009/role/negatedTotalLabel" xlink:type="simple" xlink:href="http://www.xbrl.org/lrr/role/negated-2009-12-16.xsd#negatedTotalLabel"/>
  <link:labelLink xlink:role="http://www.xbrl.org/2003/role/link" xlink:type="extended">
    <link:label id="lab_ifrs-full_DisclosureOfContingentLiabilitiesLineItems_019fae60-c1ca-79c7-bc95-c06573077f5c_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfContingentLiabilitiesLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Disclosure of contingent liabilities [line items]</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfContingentLiabilitiesLineItems_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfContingentLiabilitiesLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of contingent liabilities [line items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfContingentLiabilitiesLineItems" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfContingentLiabilitiesLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfContingentLiabilitiesLineItems" xlink:to="lab_ifrs-full_DisclosureOfContingentLiabilitiesLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_InterestExpense_019fae60-c1ca-7958-94ce-1bcfdfe194ce_negatedLabel_en-US" xlink:label="lab_ifrs-full_InterestExpense" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Interest expense</link:label>
    <link:label id="lab_ifrs-full_InterestExpense_019fae60-c1ca-7e5f-98a8-083ddaa8f429_negatedTerseLabel_en-US" xlink:label="lab_ifrs-full_InterestExpense" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Interest expense</link:label>
    <link:label id="lab_ifrs-full_InterestExpense_019fae60-c1ca-7ed2-8a65-196994ffd757_totalLabel_en-US" xlink:label="lab_ifrs-full_InterestExpense" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Interest expense</link:label>
    <link:label id="lab_ifrs-full_InterestExpense_label_en-US" xlink:label="lab_ifrs-full_InterestExpense" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest expense</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_InterestExpense" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_InterestExpense"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_InterestExpense" xlink:to="lab_ifrs-full_InterestExpense" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_TransactionsWithEquityShareHolders_019fae60-c253-7e6b-b6f3-96c675f460f4_terseLabel_en-US" xlink:label="lab_lzm_TransactionsWithEquityShareHolders" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Transactions With Equity ShareHolders</link:label>
    <link:label id="lab_lzm_TransactionsWithEquityShareHolders_label_en-US" xlink:label="lab_lzm_TransactionsWithEquityShareHolders" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Transactions With Equity ShareHolders</link:label>
    <link:label id="lab_lzm_TransactionsWithEquityShareHolders_documentation_en-US" xlink:label="lab_lzm_TransactionsWithEquityShareHolders" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Transactions With Equity ShareHolders</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_TransactionsWithEquityShareHolders" xlink:href="lzm-20260930.xsd#lzm_TransactionsWithEquityShareHolders"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_TransactionsWithEquityShareHolders" xlink:to="lab_lzm_TransactionsWithEquityShareHolders" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_NumberOfOrdinarySharesExchangeable_019fae60-c253-7ff3-88a9-301eef5460e3_terseLabel_en-US" xlink:label="lab_lzm_NumberOfOrdinarySharesExchangeable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Number of ordinary shares exchangeable (in shares)</link:label>
    <link:label id="lab_lzm_NumberOfOrdinarySharesExchangeable_label_en-US" xlink:label="lab_lzm_NumberOfOrdinarySharesExchangeable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number Of Ordinary Shares Exchangeable</link:label>
    <link:label id="lab_lzm_NumberOfOrdinarySharesExchangeable_documentation_en-US" xlink:label="lab_lzm_NumberOfOrdinarySharesExchangeable" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Number Of Ordinary Shares Exchangeable</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_NumberOfOrdinarySharesExchangeable" xlink:href="lzm-20260930.xsd#lzm_NumberOfOrdinarySharesExchangeable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_NumberOfOrdinarySharesExchangeable" xlink:to="lab_lzm_NumberOfOrdinarySharesExchangeable" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_TaxExpenseOtherThanIncomeTaxExpense_019fae60-c1ca-7fe3-9d7e-44032e508aaa_terseLabel_en-US" xlink:label="lab_ifrs-full_TaxExpenseOtherThanIncomeTaxExpense" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Withholding tax expense</link:label>
    <link:label id="lab_ifrs-full_TaxExpenseOtherThanIncomeTaxExpense_label_en-US" xlink:label="lab_ifrs-full_TaxExpenseOtherThanIncomeTaxExpense" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Tax expense other than income tax expense</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_TaxExpenseOtherThanIncomeTaxExpense" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_TaxExpenseOtherThanIncomeTaxExpense"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_TaxExpenseOtherThanIncomeTaxExpense" xlink:to="lab_ifrs-full_TaxExpenseOtherThanIncomeTaxExpense" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_SpencerDavisMember_019fae60-c1ca-7fd5-956f-bc2a5989e832_terseLabel_en-US" xlink:label="lab_lzm_SpencerDavisMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Spencer Davis</link:label>
    <link:label id="lab_lzm_SpencerDavisMember_label_en-US" xlink:label="lab_lzm_SpencerDavisMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Spencer Davis [Member]</link:label>
    <link:label id="lab_lzm_SpencerDavisMember_documentation_en-US" xlink:label="lab_lzm_SpencerDavisMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Spencer Davis</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_SpencerDavisMember" xlink:href="lzm-20260930.xsd#lzm_SpencerDavisMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_SpencerDavisMember" xlink:to="lab_lzm_SpencerDavisMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_DisclosureOfRemunerationOfKeyManagementPersonnelTableTextBlock_019fae60-c1ca-76ef-bec2-7fdd1de018d8_terseLabel_en-US" xlink:label="lab_lzm_DisclosureOfRemunerationOfKeyManagementPersonnelTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Remuneration of Key Management Personnel</link:label>
    <link:label id="lab_lzm_DisclosureOfRemunerationOfKeyManagementPersonnelTableTextBlock_label_en-US" xlink:label="lab_lzm_DisclosureOfRemunerationOfKeyManagementPersonnelTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure Of Remuneration Of Key Management Personnel [Table Text Block]</link:label>
    <link:label id="lab_lzm_DisclosureOfRemunerationOfKeyManagementPersonnelTableTextBlock_documentation_en-US" xlink:label="lab_lzm_DisclosureOfRemunerationOfKeyManagementPersonnelTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Schedule of remuneration of key management personnel.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_DisclosureOfRemunerationOfKeyManagementPersonnelTableTextBlock" xlink:href="lzm-20260930.xsd#lzm_DisclosureOfRemunerationOfKeyManagementPersonnelTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_DisclosureOfRemunerationOfKeyManagementPersonnelTableTextBlock" xlink:to="lab_lzm_DisclosureOfRemunerationOfKeyManagementPersonnelTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_WagesAndSalaries_019fae60-c1ca-7a5f-9b2d-1a4f25ebdb15_terseLabel_en-US" xlink:label="lab_ifrs-full_WagesAndSalaries" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Staff costs</link:label>
    <link:label id="lab_ifrs-full_WagesAndSalaries_label_en-US" xlink:label="lab_ifrs-full_WagesAndSalaries" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Wages and salaries</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_WagesAndSalaries" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_WagesAndSalaries"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_WagesAndSalaries" xlink:to="lab_ifrs-full_WagesAndSalaries" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ProportionOfOwnershipInterestsHeldByNoncontrollingInterests_019fae60-c133-7d5d-a034-370ad2ba44bd_terseLabel_en-US" xlink:label="lab_ifrs-full_ProportionOfOwnershipInterestsHeldByNoncontrollingInterests" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Percentage of NCI (%)</link:label>
    <link:label id="lab_ifrs-full_ProportionOfOwnershipInterestsHeldByNoncontrollingInterests_label_en-US" xlink:label="lab_ifrs-full_ProportionOfOwnershipInterestsHeldByNoncontrollingInterests" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Proportion of ownership interests held by non-controlling interests</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ProportionOfOwnershipInterestsHeldByNoncontrollingInterests" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ProportionOfOwnershipInterestsHeldByNoncontrollingInterests"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ProportionOfOwnershipInterestsHeldByNoncontrollingInterests" xlink:to="lab_ifrs-full_ProportionOfOwnershipInterestsHeldByNoncontrollingInterests" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityFileNumber_019fae60-c1ca-7de1-ba6f-bec76118452e_terseLabel_en-US" xlink:label="lab_dei_EntityFileNumber" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Entity File Number</link:label>
    <link:label id="lab_dei_EntityFileNumber_label_en-US" xlink:label="lab_dei_EntityFileNumber" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Entity File Number</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityFileNumber"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityFileNumber" xlink:to="lab_dei_EntityFileNumber" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ImpairmentLossRecognisedInProfitOrLossIntangibleAssetsOtherThanGoodwill_019fae60-c253-7f79-991e-b93969ed696d_netLabel_en-US" xlink:label="lab_ifrs-full_ImpairmentLossRecognisedInProfitOrLossIntangibleAssetsOtherThanGoodwill" xlink:role="http://www.xbrl.org/2009/role/netLabel" xlink:type="resource" xml:lang="en-US">Impairment of patents</link:label>
    <link:label id="lab_ifrs-full_ImpairmentLossRecognisedInProfitOrLossIntangibleAssetsOtherThanGoodwill_019fae60-c253-7e41-8419-879561fbba44_verboseLabel_en-US" xlink:label="lab_ifrs-full_ImpairmentLossRecognisedInProfitOrLossIntangibleAssetsOtherThanGoodwill" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Impairment of intangible assets</link:label>
    <link:label id="lab_ifrs-full_ImpairmentLossRecognisedInProfitOrLossIntangibleAssetsOtherThanGoodwill_019fae60-c253-706a-ad31-3ee5539c1227_negatedTerseLabel_en-US" xlink:label="lab_ifrs-full_ImpairmentLossRecognisedInProfitOrLossIntangibleAssetsOtherThanGoodwill" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Impairment</link:label>
    <link:label id="lab_ifrs-full_ImpairmentLossRecognisedInProfitOrLossIntangibleAssetsOtherThanGoodwill_label_en-US" xlink:label="lab_ifrs-full_ImpairmentLossRecognisedInProfitOrLossIntangibleAssetsOtherThanGoodwill" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Impairment loss recognised in profit or loss, intangible assets other than goodwill</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ImpairmentLossRecognisedInProfitOrLossIntangibleAssetsOtherThanGoodwill" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ImpairmentLossRecognisedInProfitOrLossIntangibleAssetsOtherThanGoodwill"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ImpairmentLossRecognisedInProfitOrLossIntangibleAssetsOtherThanGoodwill" xlink:to="lab_ifrs-full_ImpairmentLossRecognisedInProfitOrLossIntangibleAssetsOtherThanGoodwill" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_SupplementaryCashFlowInformationAbstract_label_en-US" xlink:label="lab_lzm_SupplementaryCashFlowInformationAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Supplementary Cash Flow Information [Abstract]</link:label>
    <link:label id="lab_lzm_SupplementaryCashFlowInformationAbstract_documentation_en-US" xlink:label="lab_lzm_SupplementaryCashFlowInformationAbstract" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Supplementary Cash Flow Information [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_SupplementaryCashFlowInformationAbstract" xlink:href="lzm-20260930.xsd#lzm_SupplementaryCashFlowInformationAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_SupplementaryCashFlowInformationAbstract" xlink:to="lab_lzm_SupplementaryCashFlowInformationAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ScheduleOfEmbeddedDerivativesTableTextBlock_019fae60-c1ca-70db-88f6-6db90aa2a67b_terseLabel_en-US" xlink:label="lab_lzm_ScheduleOfEmbeddedDerivativesTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Embedded Derivatives</link:label>
    <link:label id="lab_lzm_ScheduleOfEmbeddedDerivativesTableTextBlock_label_en-US" xlink:label="lab_lzm_ScheduleOfEmbeddedDerivativesTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule Of Embedded Derivatives [Table Text Block]</link:label>
    <link:label id="lab_lzm_ScheduleOfEmbeddedDerivativesTableTextBlock_documentation_en-US" xlink:label="lab_lzm_ScheduleOfEmbeddedDerivativesTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Schedule Of Embedded Derivatives</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ScheduleOfEmbeddedDerivativesTableTextBlock" xlink:href="lzm-20260930.xsd#lzm_ScheduleOfEmbeddedDerivativesTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ScheduleOfEmbeddedDerivativesTableTextBlock" xlink:to="lab_lzm_ScheduleOfEmbeddedDerivativesTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_IncrementalFairValueGrantedModifiedSharebasedPaymentArrangements_019fae60-c253-7527-b33e-5a210e52113f_terseLabel_en-US" xlink:label="lab_ifrs-full_IncrementalFairValueGrantedModifiedSharebasedPaymentArrangements" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Incremental share-based compensation</link:label>
    <link:label id="lab_ifrs-full_IncrementalFairValueGrantedModifiedSharebasedPaymentArrangements_label_en-US" xlink:label="lab_ifrs-full_IncrementalFairValueGrantedModifiedSharebasedPaymentArrangements" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Incremental fair value granted, modified share-based payment arrangements</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_IncrementalFairValueGrantedModifiedSharebasedPaymentArrangements" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_IncrementalFairValueGrantedModifiedSharebasedPaymentArrangements"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_IncrementalFairValueGrantedModifiedSharebasedPaymentArrangements" xlink:to="lab_ifrs-full_IncrementalFairValueGrantedModifiedSharebasedPaymentArrangements" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_EliminationOfIntersegmentAmountsMember_019fae60-c253-7655-bbfd-e414c5cce8e1_terseLabel_en-US" xlink:label="lab_ifrs-full_EliminationOfIntersegmentAmountsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Inter-Segment eliminations</link:label>
    <link:label id="lab_ifrs-full_EliminationOfIntersegmentAmountsMember_label_en-US" xlink:label="lab_ifrs-full_EliminationOfIntersegmentAmountsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Elimination of intersegment amounts [member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_EliminationOfIntersegmentAmountsMember" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_EliminationOfIntersegmentAmountsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_EliminationOfIntersegmentAmountsMember" xlink:to="lab_ifrs-full_EliminationOfIntersegmentAmountsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ForeignCurrencyRiskMember_019fae60-c1ca-7e09-9e04-4eb234c117df_terseLabel_en-US" xlink:label="lab_lzm_ForeignCurrencyRiskMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Foreign Currency Risk</link:label>
    <link:label id="lab_lzm_ForeignCurrencyRiskMember_label_en-US" xlink:label="lab_lzm_ForeignCurrencyRiskMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Foreign Currency Risk [Member]</link:label>
    <link:label id="lab_lzm_ForeignCurrencyRiskMember_documentation_en-US" xlink:label="lab_lzm_ForeignCurrencyRiskMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Foreign Currency Risk</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ForeignCurrencyRiskMember" xlink:href="lzm-20260930.xsd#lzm_ForeignCurrencyRiskMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ForeignCurrencyRiskMember" xlink:to="lab_lzm_ForeignCurrencyRiskMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_TrancheTwoMember_019fae60-c253-7b04-ae96-aa20bf5fd648_terseLabel_en-US" xlink:label="lab_lzm_TrancheTwoMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Tranche 2</link:label>
    <link:label id="lab_lzm_TrancheTwoMember_label_en-US" xlink:label="lab_lzm_TrancheTwoMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Tranche Two [Member]</link:label>
    <link:label id="lab_lzm_TrancheTwoMember_documentation_en-US" xlink:label="lab_lzm_TrancheTwoMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Tranche Two</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_TrancheTwoMember" xlink:href="lzm-20260930.xsd#lzm_TrancheTwoMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_TrancheTwoMember" xlink:to="lab_lzm_TrancheTwoMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_FairValueOfRestrictedStockUnitsLineItems_019fae60-c253-7723-9931-79cec98da018_terseLabel_en-US" xlink:label="lab_lzm_FairValueOfRestrictedStockUnitsLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair Value Of Restricted Stock Units [Line Items]</link:label>
    <link:label id="lab_lzm_FairValueOfRestrictedStockUnitsLineItems_label_en-US" xlink:label="lab_lzm_FairValueOfRestrictedStockUnitsLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value Of Restricted Stock Units [Line Items]</link:label>
    <link:label id="lab_lzm_FairValueOfRestrictedStockUnitsLineItems_documentation_en-US" xlink:label="lab_lzm_FairValueOfRestrictedStockUnitsLineItems" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Fair Value Of Restricted Stock Units [Line Items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_FairValueOfRestrictedStockUnitsLineItems" xlink:href="lzm-20260930.xsd#lzm_FairValueOfRestrictedStockUnitsLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_FairValueOfRestrictedStockUnitsLineItems" xlink:to="lab_lzm_FairValueOfRestrictedStockUnitsLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_CashAndCashEquivalentsAbstract_label_en-US" xlink:label="lab_ifrs-full_CashAndCashEquivalentsAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash and cash equivalents [abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_CashAndCashEquivalentsAbstract" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_CashAndCashEquivalentsAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_CashAndCashEquivalentsAbstract" xlink:to="lab_ifrs-full_CashAndCashEquivalentsAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_AdjustmentsForGainsLossesOnChangeInFairValueOfDerivatives_019fae60-c1ca-74e8-ac36-32b9c5aa3c8c_negatedTerseLabel_en-US" xlink:label="lab_ifrs-full_AdjustmentsForGainsLossesOnChangeInFairValueOfDerivatives" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Gain on remeasurement of embedded derivative</link:label>
    <link:label id="lab_ifrs-full_AdjustmentsForGainsLossesOnChangeInFairValueOfDerivatives_019fae60-c1ca-70d9-aa80-8fcc1a1e0730_totalLabel_en-US" xlink:label="lab_ifrs-full_AdjustmentsForGainsLossesOnChangeInFairValueOfDerivatives" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Fair value change in embedded derivative</link:label>
    <link:label id="lab_ifrs-full_AdjustmentsForGainsLossesOnChangeInFairValueOfDerivatives_label_en-US" xlink:label="lab_ifrs-full_AdjustmentsForGainsLossesOnChangeInFairValueOfDerivatives" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Adjustments for gains (losses) on change in fair value of derivatives</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_AdjustmentsForGainsLossesOnChangeInFairValueOfDerivatives" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_AdjustmentsForGainsLossesOnChangeInFairValueOfDerivatives"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_AdjustmentsForGainsLossesOnChangeInFairValueOfDerivatives" xlink:to="lab_ifrs-full_AdjustmentsForGainsLossesOnChangeInFairValueOfDerivatives" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_FinancialRiskReviewDetailsScheduleOfFinancialInstrumentsLineItems_019fae60-c253-79b2-a88e-ca880ec61fe6_terseLabel_en-US" xlink:label="lab_lzm_FinancialRiskReviewDetailsScheduleOfFinancialInstrumentsLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Disclosure of financial assets [line items]</link:label>
    <link:label id="lab_lzm_FinancialRiskReviewDetailsScheduleOfFinancialInstrumentsLineItems_label_en-US" xlink:label="lab_lzm_FinancialRiskReviewDetailsScheduleOfFinancialInstrumentsLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Financial Risk Review (Details) - Schedule of Financial Instruments [Line Items]</link:label>
    <link:label id="lab_lzm_FinancialRiskReviewDetailsScheduleOfFinancialInstrumentsLineItems_documentation_en-US" xlink:label="lab_lzm_FinancialRiskReviewDetailsScheduleOfFinancialInstrumentsLineItems" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Financial Risk Review (Details) - Schedule of Financial Instruments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_FinancialRiskReviewDetailsScheduleOfFinancialInstrumentsLineItems" xlink:href="lzm-20260930.xsd#lzm_FinancialRiskReviewDetailsScheduleOfFinancialInstrumentsLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_FinancialRiskReviewDetailsScheduleOfFinancialInstrumentsLineItems" xlink:to="lab_lzm_FinancialRiskReviewDetailsScheduleOfFinancialInstrumentsLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_LifezoneHoldingsOneMember_019fae60-c1ca-7633-959d-28f58107e7f5_terseLabel_en-US" xlink:label="lab_lzm_LifezoneHoldingsOneMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Lifezone Holdings One</link:label>
    <link:label id="lab_lzm_LifezoneHoldingsOneMember_label_en-US" xlink:label="lab_lzm_LifezoneHoldingsOneMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Lifezone Holdings One Member</link:label>
    <link:label id="lab_lzm_LifezoneHoldingsOneMember_documentation_en-US" xlink:label="lab_lzm_LifezoneHoldingsOneMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Lifezone Holdings One Member</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_LifezoneHoldingsOneMember" xlink:href="lzm-20260930.xsd#lzm_LifezoneHoldingsOneMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_LifezoneHoldingsOneMember" xlink:to="lab_lzm_LifezoneHoldingsOneMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfDetailedInformationAboutBorrowingsTable_01a15b1b-13df-7530-8db9-79b1667238dc_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfDetailedInformationAboutBorrowingsTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Disclosure of detailed information about borrowings [table]</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfDetailedInformationAboutBorrowingsTable_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfDetailedInformationAboutBorrowingsTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of detailed information about borrowings [table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfDetailedInformationAboutBorrowingsTable" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfDetailedInformationAboutBorrowingsTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfDetailedInformationAboutBorrowingsTable" xlink:to="lab_ifrs-full_DisclosureOfDetailedInformationAboutBorrowingsTable" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_NumberOfOtherEquityInstrumentsExercisedOrVestedInSharebasedPaymentArrangement_019fae60-c253-7e6b-a0b6-30124473f8af_terseLabel_en-US" xlink:label="lab_ifrs-full_NumberOfOtherEquityInstrumentsExercisedOrVestedInSharebasedPaymentArrangement" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">RSUs vested (in shares)</link:label>
    <link:label id="lab_ifrs-full_NumberOfOtherEquityInstrumentsExercisedOrVestedInSharebasedPaymentArrangement_label_en-US" xlink:label="lab_ifrs-full_NumberOfOtherEquityInstrumentsExercisedOrVestedInSharebasedPaymentArrangement" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number of other equity instruments exercised or vested in share-based payment arrangement</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_NumberOfOtherEquityInstrumentsExercisedOrVestedInSharebasedPaymentArrangement" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_NumberOfOtherEquityInstrumentsExercisedOrVestedInSharebasedPaymentArrangement"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_NumberOfOtherEquityInstrumentsExercisedOrVestedInSharebasedPaymentArrangement" xlink:to="lab_ifrs-full_NumberOfOtherEquityInstrumentsExercisedOrVestedInSharebasedPaymentArrangement" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfChangesInAccountingPoliciesExplanatory_019fae60-c253-7279-b83d-d3467e45474f_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfChangesInAccountingPoliciesExplanatory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Basis of preparation, material accounting policies and estimates</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfChangesInAccountingPoliciesExplanatory_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfChangesInAccountingPoliciesExplanatory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of changes in accounting policies [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfChangesInAccountingPoliciesExplanatory" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfChangesInAccountingPoliciesExplanatory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfChangesInAccountingPoliciesExplanatory" xlink:to="lab_ifrs-full_DisclosureOfChangesInAccountingPoliciesExplanatory" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_NumberOfPatentsHeld_019fae60-c253-7897-89be-e45747a85c8d_terseLabel_en-US" xlink:label="lab_lzm_NumberOfPatentsHeld" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Number of patents held</link:label>
    <link:label id="lab_lzm_NumberOfPatentsHeld_label_en-US" xlink:label="lab_lzm_NumberOfPatentsHeld" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number Of Patents Held</link:label>
    <link:label id="lab_lzm_NumberOfPatentsHeld_documentation_en-US" xlink:label="lab_lzm_NumberOfPatentsHeld" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Number Of Patents Held</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_NumberOfPatentsHeld" xlink:href="lzm-20260930.xsd#lzm_NumberOfPatentsHeld"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_NumberOfPatentsHeld" xlink:to="lab_lzm_NumberOfPatentsHeld" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_FinancialRiskReviewDetailsScheduleOfFinancialInstrumentsTable_019fae60-c253-733a-89e1-995a77731ffc_terseLabel_en-US" xlink:label="lab_lzm_FinancialRiskReviewDetailsScheduleOfFinancialInstrumentsTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Disclosure of financial assets [table]</link:label>
    <link:label id="lab_lzm_FinancialRiskReviewDetailsScheduleOfFinancialInstrumentsTable_label_en-US" xlink:label="lab_lzm_FinancialRiskReviewDetailsScheduleOfFinancialInstrumentsTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Financial Risk Review (Details) - Schedule of Financial Instruments [Table]</link:label>
    <link:label id="lab_lzm_FinancialRiskReviewDetailsScheduleOfFinancialInstrumentsTable_documentation_en-US" xlink:label="lab_lzm_FinancialRiskReviewDetailsScheduleOfFinancialInstrumentsTable" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Financial Risk Review (Details) - Schedule of Financial Instruments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_FinancialRiskReviewDetailsScheduleOfFinancialInstrumentsTable" xlink:href="lzm-20260930.xsd#lzm_FinancialRiskReviewDetailsScheduleOfFinancialInstrumentsTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_FinancialRiskReviewDetailsScheduleOfFinancialInstrumentsTable" xlink:to="lab_lzm_FinancialRiskReviewDetailsScheduleOfFinancialInstrumentsTable" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_StatementOfChangesInEquityLineItems_019fae60-c1ca-72bc-b1b8-4a962b01fd62_terseLabel_en-US" xlink:label="lab_ifrs-full_StatementOfChangesInEquityLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Statement of changes in equity [line items]</link:label>
    <link:label id="lab_ifrs-full_StatementOfChangesInEquityLineItems_label_en-US" xlink:label="lab_ifrs-full_StatementOfChangesInEquityLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Statement of changes in equity [line items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_StatementOfChangesInEquityLineItems" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_StatementOfChangesInEquityLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_StatementOfChangesInEquityLineItems" xlink:to="lab_ifrs-full_StatementOfChangesInEquityLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ValueAddedTaxPayables_019fae60-c1ca-7e2f-b3cd-76b9699449e8_terseLabel_en-US" xlink:label="lab_ifrs-full_ValueAddedTaxPayables" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">VAT payable</link:label>
    <link:label id="lab_ifrs-full_ValueAddedTaxPayables_label_en-US" xlink:label="lab_ifrs-full_ValueAddedTaxPayables" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Value added tax payables</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ValueAddedTaxPayables" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ValueAddedTaxPayables"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ValueAddedTaxPayables" xlink:to="lab_ifrs-full_ValueAddedTaxPayables" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_GreaterThanEqualThirtyDaysMember_019fae60-c1ca-7a45-abe4-7bb010aba0a2_terseLabel_en-US" xlink:label="lab_lzm_GreaterThanEqualThirtyDaysMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Greater than or equal to thirty days</link:label>
    <link:label id="lab_lzm_GreaterThanEqualThirtyDaysMember_label_en-US" xlink:label="lab_lzm_GreaterThanEqualThirtyDaysMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Greater Than Equal Thirty Days [Member]</link:label>
    <link:label id="lab_lzm_GreaterThanEqualThirtyDaysMember_documentation_en-US" xlink:label="lab_lzm_GreaterThanEqualThirtyDaysMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Greater Than Equal Thirty Days</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_GreaterThanEqualThirtyDaysMember" xlink:href="lzm-20260930.xsd#lzm_GreaterThanEqualThirtyDaysMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_GreaterThanEqualThirtyDaysMember" xlink:to="lab_lzm_GreaterThanEqualThirtyDaysMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ComprehensiveIncomeAttributableToAbstract_019fae60-c133-7d65-aa2c-a9f1cdcb1efd_terseLabel_en-US" xlink:label="lab_ifrs-full_ComprehensiveIncomeAttributableToAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Total comprehensive (loss) income:</link:label>
    <link:label id="lab_ifrs-full_ComprehensiveIncomeAttributableToAbstract_label_en-US" xlink:label="lab_ifrs-full_ComprehensiveIncomeAttributableToAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Comprehensive income attributable to [abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ComprehensiveIncomeAttributableToAbstract" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ComprehensiveIncomeAttributableToAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ComprehensiveIncomeAttributableToAbstract" xlink:to="lab_ifrs-full_ComprehensiveIncomeAttributableToAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_DemonstratesTheEstimatedSensitivityTableTextBlock_019fae60-c1ca-7b86-82c6-206bb9cb553d_terseLabel_en-US" xlink:label="lab_lzm_DemonstratesTheEstimatedSensitivityTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Demonstrates the Estimated Sensitivity</link:label>
    <link:label id="lab_lzm_DemonstratesTheEstimatedSensitivityTableTextBlock_label_en-US" xlink:label="lab_lzm_DemonstratesTheEstimatedSensitivityTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Demonstrates The Estimated Sensitivity [Table Text Block]</link:label>
    <link:label id="lab_lzm_DemonstratesTheEstimatedSensitivityTableTextBlock_documentation_en-US" xlink:label="lab_lzm_DemonstratesTheEstimatedSensitivityTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Demonstrates The Estimated Sensitivity</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_DemonstratesTheEstimatedSensitivityTableTextBlock" xlink:href="lzm-20260930.xsd#lzm_DemonstratesTheEstimatedSensitivityTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_DemonstratesTheEstimatedSensitivityTableTextBlock" xlink:to="lab_lzm_DemonstratesTheEstimatedSensitivityTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_NumberOfOtherEquityInstrumentsExpiredInSharebasedPaymentArrangement_019fae60-c253-7d4a-8244-7bc3dfac5783_terseLabel_en-US" xlink:label="lab_ifrs-full_NumberOfOtherEquityInstrumentsExpiredInSharebasedPaymentArrangement" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cancellation of shares (in shares)</link:label>
    <link:label id="lab_ifrs-full_NumberOfOtherEquityInstrumentsExpiredInSharebasedPaymentArrangement_label_en-US" xlink:label="lab_ifrs-full_NumberOfOtherEquityInstrumentsExpiredInSharebasedPaymentArrangement" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number of other equity instruments expired in share-based payment arrangement</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_NumberOfOtherEquityInstrumentsExpiredInSharebasedPaymentArrangement" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_NumberOfOtherEquityInstrumentsExpiredInSharebasedPaymentArrangement"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_NumberOfOtherEquityInstrumentsExpiredInSharebasedPaymentArrangement" xlink:to="lab_ifrs-full_NumberOfOtherEquityInstrumentsExpiredInSharebasedPaymentArrangement" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_AdjustmentsForDecreaseIncreaseInTradeAccountReceivable_019fae60-c1ca-7bb4-bc46-bbca071c1025_terseLabel_en-US" xlink:label="lab_ifrs-full_AdjustmentsForDecreaseIncreaseInTradeAccountReceivable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Changes in related party payables</link:label>
    <link:label id="lab_ifrs-full_AdjustmentsForDecreaseIncreaseInTradeAccountReceivable_label_en-US" xlink:label="lab_ifrs-full_AdjustmentsForDecreaseIncreaseInTradeAccountReceivable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Adjustments for decrease (increase) in trade accounts receivable</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_AdjustmentsForDecreaseIncreaseInTradeAccountReceivable" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_AdjustmentsForDecreaseIncreaseInTradeAccountReceivable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_AdjustmentsForDecreaseIncreaseInTradeAccountReceivable" xlink:to="lab_ifrs-full_AdjustmentsForDecreaseIncreaseInTradeAccountReceivable" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ContingentConsiderationRollForward_019fae60-c1ca-74dd-a988-41be009889ea_terseLabel_en-US" xlink:label="lab_lzm_ContingentConsiderationRollForward" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Contingent Consideration [Roll Forward]</link:label>
    <link:label id="lab_lzm_ContingentConsiderationRollForward_label_en-US" xlink:label="lab_lzm_ContingentConsiderationRollForward" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Contingent Consideration [Roll Forward]</link:label>
    <link:label id="lab_lzm_ContingentConsiderationRollForward_documentation_en-US" xlink:label="lab_lzm_ContingentConsiderationRollForward" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Contingent Consideration</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ContingentConsiderationRollForward" xlink:href="lzm-20260930.xsd#lzm_ContingentConsiderationRollForward"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ContingentConsiderationRollForward" xlink:to="lab_lzm_ContingentConsiderationRollForward" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_IncreaseDecreaseThroughOtherContributionsByOwners_019fae60-c133-77cc-bda0-013feb7e72b7_terseLabel_en-US" xlink:label="lab_ifrs-full_IncreaseDecreaseThroughOtherContributionsByOwners" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Change in minority interest in Lifezone Recycling US, LLC</link:label>
    <link:label id="lab_ifrs-full_IncreaseDecreaseThroughOtherContributionsByOwners_label_en-US" xlink:label="lab_ifrs-full_IncreaseDecreaseThroughOtherContributionsByOwners" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Increase through other contributions by owners, equity</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_IncreaseDecreaseThroughOtherContributionsByOwners" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_IncreaseDecreaseThroughOtherContributionsByOwners"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_IncreaseDecreaseThroughOtherContributionsByOwners" xlink:to="lab_ifrs-full_IncreaseDecreaseThroughOtherContributionsByOwners" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_EJMYConsultingMember_019fae60-c1ca-73e5-bd8a-bd7a36ef8850_terseLabel_en-US" xlink:label="lab_lzm_EJMYConsultingMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">EJMY Consulting</link:label>
    <link:label id="lab_lzm_EJMYConsultingMember_label_en-US" xlink:label="lab_lzm_EJMYConsultingMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">EJMY Consulting [Member]</link:label>
    <link:label id="lab_lzm_EJMYConsultingMember_documentation_en-US" xlink:label="lab_lzm_EJMYConsultingMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">EJMY Consulting</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_EJMYConsultingMember" xlink:href="lzm-20260930.xsd#lzm_EJMYConsultingMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_EJMYConsultingMember" xlink:to="lab_lzm_EJMYConsultingMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_CurrentDerivativeFinancialLiabilities_019fae60-c133-73ee-9811-842154384621_terseLabel_en-US" xlink:label="lab_ifrs-full_CurrentDerivativeFinancialLiabilities" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Embedded derivatives</link:label>
    <link:label id="lab_ifrs-full_CurrentDerivativeFinancialLiabilities_label_en-US" xlink:label="lab_ifrs-full_CurrentDerivativeFinancialLiabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Current derivative financial liabilities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_CurrentDerivativeFinancialLiabilities" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_CurrentDerivativeFinancialLiabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_CurrentDerivativeFinancialLiabilities" xlink:to="lab_ifrs-full_CurrentDerivativeFinancialLiabilities" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_StatementOfFinancialPositionAbstract_019fae60-c1ca-7dd6-b57f-06bddadf885f_terseLabel_en-US" xlink:label="lab_ifrs-full_StatementOfFinancialPositionAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Statement of financial position [abstract]</link:label>
    <link:label id="lab_ifrs-full_StatementOfFinancialPositionAbstract_label_en-US" xlink:label="lab_ifrs-full_StatementOfFinancialPositionAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Statement of financial position [abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_StatementOfFinancialPositionAbstract" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_StatementOfFinancialPositionAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_StatementOfFinancialPositionAbstract" xlink:to="lab_ifrs-full_StatementOfFinancialPositionAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfInterestExpenseExplanatory_019fae60-c133-758c-9bc5-94056fa9815c_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfInterestExpenseExplanatory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest expense</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfInterestExpenseExplanatory_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfInterestExpenseExplanatory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of interest expense [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfInterestExpenseExplanatory" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfInterestExpenseExplanatory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfInterestExpenseExplanatory" xlink:to="lab_ifrs-full_DisclosureOfInterestExpenseExplanatory" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_GrantDateFairValueOfStockOptionsGranted_019fae60-c253-7a5c-a530-e3828b713f79_terseLabel_en-US" xlink:label="lab_lzm_GrantDateFairValueOfStockOptionsGranted" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Grant date fair value of stock options granted</link:label>
    <link:label id="lab_lzm_GrantDateFairValueOfStockOptionsGranted_label_en-US" xlink:label="lab_lzm_GrantDateFairValueOfStockOptionsGranted" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Grant Date Fair Value Of Stock Options Granted</link:label>
    <link:label id="lab_lzm_GrantDateFairValueOfStockOptionsGranted_documentation_en-US" xlink:label="lab_lzm_GrantDateFairValueOfStockOptionsGranted" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Grant Date Fair Value Of Stock Options Granted</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_GrantDateFairValueOfStockOptionsGranted" xlink:href="lzm-20260930.xsd#lzm_GrantDateFairValueOfStockOptionsGranted"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_GrantDateFairValueOfStockOptionsGranted" xlink:to="lab_lzm_GrantDateFairValueOfStockOptionsGranted" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_InterestExpenseOnOtherFinancialLiabilities_019fae60-c253-791a-9085-12955e289ae5_terseLabel_en-US" xlink:label="lab_ifrs-full_InterestExpenseOnOtherFinancialLiabilities" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Other interest expenses</link:label>
    <link:label id="lab_ifrs-full_InterestExpenseOnOtherFinancialLiabilities_label_en-US" xlink:label="lab_ifrs-full_InterestExpenseOnOtherFinancialLiabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest expense on other financial liabilities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_InterestExpenseOnOtherFinancialLiabilities" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_InterestExpenseOnOtherFinancialLiabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_InterestExpenseOnOtherFinancialLiabilities" xlink:to="lab_ifrs-full_InterestExpenseOnOtherFinancialLiabilities" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_CoverAbstract_label_en-US" xlink:label="lab_dei_CoverAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cover [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_CoverAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_CoverAbstract" xlink:to="lab_dei_CoverAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ValuationDateMember_019fae60-c253-7882-a54f-dcffa94c91d8_terseLabel_en-US" xlink:label="lab_lzm_ValuationDateMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Valuation Date</link:label>
    <link:label id="lab_lzm_ValuationDateMember_label_en-US" xlink:label="lab_lzm_ValuationDateMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Valuation Date [Member]</link:label>
    <link:label id="lab_lzm_ValuationDateMember_documentation_en-US" xlink:label="lab_lzm_ValuationDateMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Valuation Date</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ValuationDateMember" xlink:href="lzm-20260930.xsd#lzm_ValuationDateMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ValuationDateMember" xlink:to="lab_lzm_ValuationDateMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_DisclosureOfConsultancyFeesAndBonusesTableTextBlock_019fae60-c1ca-74a1-8d86-0f13deeb6c6f_terseLabel_en-US" xlink:label="lab_lzm_DisclosureOfConsultancyFeesAndBonusesTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Consultancy Fees and Bonuses</link:label>
    <link:label id="lab_lzm_DisclosureOfConsultancyFeesAndBonusesTableTextBlock_label_en-US" xlink:label="lab_lzm_DisclosureOfConsultancyFeesAndBonusesTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure Of Consultancy Fees And Bonuses [Table Text Block]</link:label>
    <link:label id="lab_lzm_DisclosureOfConsultancyFeesAndBonusesTableTextBlock_documentation_en-US" xlink:label="lab_lzm_DisclosureOfConsultancyFeesAndBonusesTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Schedule of Consultancy Fees and Bonuses.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_DisclosureOfConsultancyFeesAndBonusesTableTextBlock" xlink:href="lzm-20260930.xsd#lzm_DisclosureOfConsultancyFeesAndBonusesTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_DisclosureOfConsultancyFeesAndBonusesTableTextBlock" xlink:to="lab_lzm_DisclosureOfConsultancyFeesAndBonusesTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_TradeReceivables_019fae60-c1ca-7f33-bcc5-0e058aa1c915_verboseLabel_en-US" xlink:label="lab_ifrs-full_TradeReceivables" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Trade debtors</link:label>
    <link:label id="lab_ifrs-full_TradeReceivables_019fae60-c1ca-7d1b-be21-c003267ca295_terseLabel_en-US" xlink:label="lab_ifrs-full_TradeReceivables" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Trade and other receivables</link:label>
    <link:label id="lab_ifrs-full_TradeReceivables_label_en-US" xlink:label="lab_ifrs-full_TradeReceivables" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Trade receivables</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_TradeReceivables" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_TradeReceivables"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_TradeReceivables" xlink:to="lab_ifrs-full_TradeReceivables" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_BusinessCombinationContingentConsiderationLiabilityMeasurementInput_019fae60-c253-78ae-8187-da2d6ede49de_terseLabel_en-US" xlink:label="lab_lzm_BusinessCombinationContingentConsiderationLiabilityMeasurementInput" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Business combination, deferred consideration measurement input</link:label>
    <link:label id="lab_lzm_BusinessCombinationContingentConsiderationLiabilityMeasurementInput_label_en-US" xlink:label="lab_lzm_BusinessCombinationContingentConsiderationLiabilityMeasurementInput" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Business Combination, Contingent Consideration, Liability, Measurement Input</link:label>
    <link:label id="lab_lzm_BusinessCombinationContingentConsiderationLiabilityMeasurementInput_documentation_en-US" xlink:label="lab_lzm_BusinessCombinationContingentConsiderationLiabilityMeasurementInput" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Business Combination, Contingent Consideration, Liability, Measurement Input</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_BusinessCombinationContingentConsiderationLiabilityMeasurementInput" xlink:href="lzm-20260930.xsd#lzm_BusinessCombinationContingentConsiderationLiabilityMeasurementInput"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_BusinessCombinationContingentConsiderationLiabilityMeasurementInput" xlink:to="lab_lzm_BusinessCombinationContingentConsiderationLiabilityMeasurementInput" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_SharePremium_019fae60-c253-7ba6-b1d3-c465c6b35889_verboseLabel_en-US" xlink:label="lab_ifrs-full_SharePremium" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Share premium</link:label>
    <link:label id="lab_ifrs-full_SharePremium_label_en-US" xlink:label="lab_ifrs-full_SharePremium" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Share premium</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_SharePremium" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_SharePremium"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_SharePremium" xlink:to="lab_ifrs-full_SharePremium" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ShortTermTimingDifferencesForWhichNoDeferredTaxAssetRecognised_019fae60-c253-7eae-bac7-d6379f94d9fb_terseLabel_en-US" xlink:label="lab_lzm_ShortTermTimingDifferencesForWhichNoDeferredTaxAssetRecognised" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Short term timing differences</link:label>
    <link:label id="lab_lzm_ShortTermTimingDifferencesForWhichNoDeferredTaxAssetRecognised_label_en-US" xlink:label="lab_lzm_ShortTermTimingDifferencesForWhichNoDeferredTaxAssetRecognised" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Short-Term Timing Differences For Which No Deferred Tax Asset Recognised</link:label>
    <link:label id="lab_lzm_ShortTermTimingDifferencesForWhichNoDeferredTaxAssetRecognised_documentation_en-US" xlink:label="lab_lzm_ShortTermTimingDifferencesForWhichNoDeferredTaxAssetRecognised" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Short-Term Timing Differences For Which No Deferred Tax Asset Recognised</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ShortTermTimingDifferencesForWhichNoDeferredTaxAssetRecognised" xlink:href="lzm-20260930.xsd#lzm_ShortTermTimingDifferencesForWhichNoDeferredTaxAssetRecognised"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ShortTermTimingDifferencesForWhichNoDeferredTaxAssetRecognised" xlink:to="lab_lzm_ShortTermTimingDifferencesForWhichNoDeferredTaxAssetRecognised" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_CashFlowsFromUsedInFinancingActivitiesAbstract_019fae60-c133-7e4f-a6c1-a98b10e1f7b6_terseLabel_en-US" xlink:label="lab_ifrs-full_CashFlowsFromUsedInFinancingActivitiesAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cash flows from financing activities</link:label>
    <link:label id="lab_ifrs-full_CashFlowsFromUsedInFinancingActivitiesAbstract_label_en-US" xlink:label="lab_ifrs-full_CashFlowsFromUsedInFinancingActivitiesAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash flows from (used in) financing activities [abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_CashFlowsFromUsedInFinancingActivitiesAbstract" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_CashFlowsFromUsedInFinancingActivitiesAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_CashFlowsFromUsedInFinancingActivitiesAbstract" xlink:to="lab_ifrs-full_CashFlowsFromUsedInFinancingActivitiesAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_LifezoneMember_019fae60-c133-7975-a7c9-908cf5ea68c8_terseLabel_en-US" xlink:label="lab_lzm_LifezoneMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Lifezone</link:label>
    <link:label id="lab_lzm_LifezoneMember_label_en-US" xlink:label="lab_lzm_LifezoneMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Lifezone [Member]</link:label>
    <link:label id="lab_lzm_LifezoneMember_documentation_en-US" xlink:label="lab_lzm_LifezoneMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Lifezone</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_LifezoneMember" xlink:href="lzm-20260930.xsd#lzm_LifezoneMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_LifezoneMember" xlink:to="lab_lzm_LifezoneMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_AdjustmentsForInterestExpense_019fae60-c133-7f8e-a0a2-62dc57f214eb_terseLabel_en-US" xlink:label="lab_ifrs-full_AdjustmentsForInterestExpense" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest expense</link:label>
    <link:label id="lab_ifrs-full_AdjustmentsForInterestExpense_label_en-US" xlink:label="lab_ifrs-full_AdjustmentsForInterestExpense" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Adjustments for interest expense</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_AdjustmentsForInterestExpense" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_AdjustmentsForInterestExpense"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_AdjustmentsForInterestExpense" xlink:to="lab_ifrs-full_AdjustmentsForInterestExpense" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_NumberOfSharesExercised_019fae60-c253-7aa1-83fe-1e030e136289_negatedTerseLabel_en-US" xlink:label="lab_lzm_NumberOfSharesExercised" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Exercised (in shares)</link:label>
    <link:label id="lab_lzm_NumberOfSharesExercised_label_en-US" xlink:label="lab_lzm_NumberOfSharesExercised" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number Of Shares Exercised</link:label>
    <link:label id="lab_lzm_NumberOfSharesExercised_documentation_en-US" xlink:label="lab_lzm_NumberOfSharesExercised" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Number Of Shares Exercised</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_NumberOfSharesExercised" xlink:href="lzm-20260930.xsd#lzm_NumberOfSharesExercised"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_NumberOfSharesExercised" xlink:to="lab_lzm_NumberOfSharesExercised" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_DeferredTaxLiabilityTaxLosses_019fae60-c253-7b70-aec6-a3a799063ad2_terseLabel_en-US" xlink:label="lab_lzm_DeferredTaxLiabilityTaxLosses" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Tax losses</link:label>
    <link:label id="lab_lzm_DeferredTaxLiabilityTaxLosses_label_en-US" xlink:label="lab_lzm_DeferredTaxLiabilityTaxLosses" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Deferred Tax Liability, Tax Losses</link:label>
    <link:label id="lab_lzm_DeferredTaxLiabilityTaxLosses_documentation_en-US" xlink:label="lab_lzm_DeferredTaxLiabilityTaxLosses" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Deferred Tax Liability, Tax Losses</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_DeferredTaxLiabilityTaxLosses" xlink:href="lzm-20260930.xsd#lzm_DeferredTaxLiabilityTaxLosses"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_DeferredTaxLiabilityTaxLosses" xlink:to="lab_lzm_DeferredTaxLiabilityTaxLosses" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfReconciliationOfChangesInPropertyPlantAndEquipmentIncludingRightofuseAssetsTable_019fae60-c1ca-7e24-ae30-43d9c3d24357_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfReconciliationOfChangesInPropertyPlantAndEquipmentIncludingRightofuseAssetsTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Disclosure of reconciliation of changes in property, plant and equipment, including right-of-use assets [table]</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfReconciliationOfChangesInPropertyPlantAndEquipmentIncludingRightofuseAssetsTable_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfReconciliationOfChangesInPropertyPlantAndEquipmentIncludingRightofuseAssetsTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of reconciliation of changes in property, plant and equipment, including right-of-use assets [table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfReconciliationOfChangesInPropertyPlantAndEquipmentIncludingRightofuseAssetsTable" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfReconciliationOfChangesInPropertyPlantAndEquipmentIncludingRightofuseAssetsTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfReconciliationOfChangesInPropertyPlantAndEquipmentIncludingRightofuseAssetsTable" xlink:to="lab_ifrs-full_DisclosureOfReconciliationOfChangesInPropertyPlantAndEquipmentIncludingRightofuseAssetsTable" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ComprehensiveIncome_019fae60-c253-7f11-bf75-a2953c85bfef_totalLabel_en-US" xlink:label="lab_ifrs-full_ComprehensiveIncome" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total comprehensive (loss) income:</link:label>
    <link:label id="lab_ifrs-full_ComprehensiveIncome_label_en-US" xlink:label="lab_ifrs-full_ComprehensiveIncome" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Comprehensive income</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ComprehensiveIncome" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ComprehensiveIncome"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ComprehensiveIncome" xlink:to="lab_ifrs-full_ComprehensiveIncome" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ExercisePriceWarrants_019fae60-c1ca-71ad-af9f-71b8979d6252_terseLabel_en-US" xlink:label="lab_lzm_ExercisePriceWarrants" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Exercise price, warrants (in dollars per share)</link:label>
    <link:label id="lab_lzm_ExercisePriceWarrants_label_en-US" xlink:label="lab_lzm_ExercisePriceWarrants" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Exercise Price, Warrants</link:label>
    <link:label id="lab_lzm_ExercisePriceWarrants_documentation_en-US" xlink:label="lab_lzm_ExercisePriceWarrants" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Exercise Price, Warrants</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ExercisePriceWarrants" xlink:href="lzm-20260930.xsd#lzm_ExercisePriceWarrants"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ExercisePriceWarrants" xlink:to="lab_lzm_ExercisePriceWarrants" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_SecuredOvernightFinancingFloorRate_019fae60-c133-745c-96de-37efebbf1b78_terseLabel_en-US" xlink:label="lab_lzm_SecuredOvernightFinancingFloorRate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Secured overnight financing floor rate</link:label>
    <link:label id="lab_lzm_SecuredOvernightFinancingFloorRate_label_en-US" xlink:label="lab_lzm_SecuredOvernightFinancingFloorRate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Secured Overnight Financing Floor Rate</link:label>
    <link:label id="lab_lzm_SecuredOvernightFinancingFloorRate_documentation_en-US" xlink:label="lab_lzm_SecuredOvernightFinancingFloorRate" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">The percentage of secured overnight financing floor.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_SecuredOvernightFinancingFloorRate" xlink:href="lzm-20260930.xsd#lzm_SecuredOvernightFinancingFloorRate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_SecuredOvernightFinancingFloorRate" xlink:to="lab_lzm_SecuredOvernightFinancingFloorRate" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_RestatementPolicyPolicyTextBlock_019fae60-c253-7ea5-9d6a-409fa7884c1a_terseLabel_en-US" xlink:label="lab_lzm_RestatementPolicyPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Restatement of disclosure related to unused tax losses and temporary differences for which no deferred tax asset has been recognized</link:label>
    <link:label id="lab_lzm_RestatementPolicyPolicyTextBlock_label_en-US" xlink:label="lab_lzm_RestatementPolicyPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Restatement, Policy [Policy Text Block]</link:label>
    <link:label id="lab_lzm_RestatementPolicyPolicyTextBlock_documentation_en-US" xlink:label="lab_lzm_RestatementPolicyPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Restatement, Policy</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_RestatementPolicyPolicyTextBlock" xlink:href="lzm-20260930.xsd#lzm_RestatementPolicyPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_RestatementPolicyPolicyTextBlock" xlink:to="lab_lzm_RestatementPolicyPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_PatentMember_019fae60-c1ca-769b-b06d-3efd1900a82a_terseLabel_en-US" xlink:label="lab_lzm_PatentMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Patents</link:label>
    <link:label id="lab_lzm_PatentMember_label_en-US" xlink:label="lab_lzm_PatentMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Patent [Member]</link:label>
    <link:label id="lab_lzm_PatentMember_documentation_en-US" xlink:label="lab_lzm_PatentMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Patent</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_PatentMember" xlink:href="lzm-20260930.xsd#lzm_PatentMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_PatentMember" xlink:to="lab_lzm_PatentMember" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_DocumentFiscalPeriodFocus_019fae60-c133-73ed-8ce0-ac68be125db9_terseLabel_en-US" xlink:label="lab_dei_DocumentFiscalPeriodFocus" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Document Fiscal Period Focus</link:label>
    <link:label id="lab_dei_DocumentFiscalPeriodFocus_label_en-US" xlink:label="lab_dei_DocumentFiscalPeriodFocus" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Document Fiscal Period Focus</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentFiscalPeriodFocus" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_DocumentFiscalPeriodFocus"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_DocumentFiscalPeriodFocus" xlink:to="lab_dei_DocumentFiscalPeriodFocus" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_BalancesWithBanks_019fae60-c133-751c-ad48-35300f7591ed_terseLabel_en-US" xlink:label="lab_ifrs-full_BalancesWithBanks" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cash in banks</link:label>
    <link:label id="lab_ifrs-full_BalancesWithBanks_label_en-US" xlink:label="lab_ifrs-full_BalancesWithBanks" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Balances with banks</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_BalancesWithBanks" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_BalancesWithBanks"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_BalancesWithBanks" xlink:to="lab_ifrs-full_BalancesWithBanks" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_RelatedPartiesMember_019fae60-c1ca-79a1-9e70-d2c39b7e3f22_terseLabel_en-US" xlink:label="lab_ifrs-full_RelatedPartiesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Related Party</link:label>
    <link:label id="lab_ifrs-full_RelatedPartiesMember_label_en-US" xlink:label="lab_ifrs-full_RelatedPartiesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Total for all related parties [member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_RelatedPartiesMember" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_RelatedPartiesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_RelatedPartiesMember" xlink:to="lab_ifrs-full_RelatedPartiesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_Assets_019fae60-c1ca-7abf-9e71-eef5a9c19ebc_totalLabel_en-US" xlink:label="lab_ifrs-full_Assets" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total assets</link:label>
    <link:label id="lab_ifrs-full_Assets_019fae60-c1ca-700b-8ae0-3b968cc6059f_terseLabel_en-US" xlink:label="lab_ifrs-full_Assets" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Segment assets</link:label>
    <link:label id="lab_ifrs-full_Assets_label_en-US" xlink:label="lab_ifrs-full_Assets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_Assets" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_Assets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_Assets" xlink:to="lab_ifrs-full_Assets" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_MiningAssetsMember_019fae60-c1ca-7ba3-a0c9-effbe4e61ba3_terseLabel_en-US" xlink:label="lab_ifrs-full_MiningAssetsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Mining data</link:label>
    <link:label id="lab_ifrs-full_MiningAssetsMember_label_en-US" xlink:label="lab_ifrs-full_MiningAssetsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Mining assets [member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_MiningAssetsMember" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_MiningAssetsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_MiningAssetsMember" xlink:to="lab_ifrs-full_MiningAssetsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_SharePricePercentage_019fae60-c1ca-7eec-b64c-4ac4884cca87_terseLabel_en-US" xlink:label="lab_lzm_SharePricePercentage" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Share price (in percent)</link:label>
    <link:label id="lab_lzm_SharePricePercentage_label_en-US" xlink:label="lab_lzm_SharePricePercentage" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Share Price Percentage</link:label>
    <link:label id="lab_lzm_SharePricePercentage_documentation_en-US" xlink:label="lab_lzm_SharePricePercentage" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Share Price Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_SharePricePercentage" xlink:href="lzm-20260930.xsd#lzm_SharePricePercentage"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_SharePricePercentage" xlink:to="lab_lzm_SharePricePercentage" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_MaturityDateMember_019fae60-c1ca-7d4c-9ed8-73368e530460_terseLabel_en-US" xlink:label="lab_lzm_MaturityDateMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Maturity Date</link:label>
    <link:label id="lab_lzm_MaturityDateMember_label_en-US" xlink:label="lab_lzm_MaturityDateMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Maturity Date [Member]</link:label>
    <link:label id="lab_lzm_MaturityDateMember_documentation_en-US" xlink:label="lab_lzm_MaturityDateMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Maturity Date</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_MaturityDateMember" xlink:href="lzm-20260930.xsd#lzm_MaturityDateMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_MaturityDateMember" xlink:to="lab_lzm_MaturityDateMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_PriceOfWarrants_019fae60-c253-76e3-bf1a-033a409fef4c_terseLabel_en-US" xlink:label="lab_lzm_PriceOfWarrants" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Price of warrants (in dollars per share)</link:label>
    <link:label id="lab_lzm_PriceOfWarrants_label_en-US" xlink:label="lab_lzm_PriceOfWarrants" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Price Of Warrants</link:label>
    <link:label id="lab_lzm_PriceOfWarrants_documentation_en-US" xlink:label="lab_lzm_PriceOfWarrants" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Price Of Warrants</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_PriceOfWarrants" xlink:href="lzm-20260930.xsd#lzm_PriceOfWarrants"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_PriceOfWarrants" xlink:to="lab_lzm_PriceOfWarrants" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_TNCLMember_019fae60-c133-7890-bfc2-7f88381b270b_terseLabel_en-US" xlink:label="lab_lzm_TNCLMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">TNCL</link:label>
    <link:label id="lab_lzm_TNCLMember_label_en-US" xlink:label="lab_lzm_TNCLMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">TNCL [Member]</link:label>
    <link:label id="lab_lzm_TNCLMember_documentation_en-US" xlink:label="lab_lzm_TNCLMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">TNCL</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_TNCLMember" xlink:href="lzm-20260930.xsd#lzm_TNCLMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_TNCLMember" xlink:to="lab_lzm_TNCLMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_MeasurementInputTypeAxis_019fae60-c1ca-743f-873b-4e82c955ffc5_terseLabel_en-US" xlink:label="lab_lzm_MeasurementInputTypeAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Measurement Input Type [Axis]</link:label>
    <link:label id="lab_lzm_MeasurementInputTypeAxis_label_en-US" xlink:label="lab_lzm_MeasurementInputTypeAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Measurement Input Type [Axis]</link:label>
    <link:label id="lab_lzm_MeasurementInputTypeAxis_documentation_en-US" xlink:label="lab_lzm_MeasurementInputTypeAxis" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Measurement Input Type</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_MeasurementInputTypeAxis" xlink:href="lzm-20260930.xsd#lzm_MeasurementInputTypeAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_MeasurementInputTypeAxis" xlink:to="lab_lzm_MeasurementInputTypeAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_NumberOfOtherEquityInstrumentsOutstandingInSharebasedPaymentArrangement_019fae60-c1ca-7c7a-bf99-a3227e4a7967_terseLabel_en-US" xlink:label="lab_ifrs-full_NumberOfOtherEquityInstrumentsOutstandingInSharebasedPaymentArrangement" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Number of other equity instruments outstanding in share-based payment arrangement (in shares)</link:label>
    <link:label id="lab_ifrs-full_NumberOfOtherEquityInstrumentsOutstandingInSharebasedPaymentArrangement_019fae60-c1ca-7dbb-9389-12d9fb760073_periodStartLabel_en-US" xlink:label="lab_ifrs-full_NumberOfOtherEquityInstrumentsOutstandingInSharebasedPaymentArrangement" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:type="resource" xml:lang="en-US">Beginning balance (in shares)</link:label>
    <link:label id="lab_ifrs-full_NumberOfOtherEquityInstrumentsOutstandingInSharebasedPaymentArrangement_019fae60-c1ca-75e2-a579-32ccf3114490_periodEndLabel_en-US" xlink:label="lab_ifrs-full_NumberOfOtherEquityInstrumentsOutstandingInSharebasedPaymentArrangement" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:type="resource" xml:lang="en-US">Ending balance (in shares)</link:label>
    <link:label id="lab_ifrs-full_NumberOfOtherEquityInstrumentsOutstandingInSharebasedPaymentArrangement_label_en-US" xlink:label="lab_ifrs-full_NumberOfOtherEquityInstrumentsOutstandingInSharebasedPaymentArrangement" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number of other equity instruments outstanding in share-based payment arrangement</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_NumberOfOtherEquityInstrumentsOutstandingInSharebasedPaymentArrangement" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_NumberOfOtherEquityInstrumentsOutstandingInSharebasedPaymentArrangement"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_NumberOfOtherEquityInstrumentsOutstandingInSharebasedPaymentArrangement" xlink:to="lab_ifrs-full_NumberOfOtherEquityInstrumentsOutstandingInSharebasedPaymentArrangement" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_PaymentsForIssuingSharesTransactionCosts_019fae60-c253-7cc7-90b3-50e897d6d383_negatedTerseLabel_en-US" xlink:label="lab_lzm_PaymentsForIssuingSharesTransactionCosts" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Transaction costs of registered direct offering</link:label>
    <link:label id="lab_lzm_PaymentsForIssuingSharesTransactionCosts_label_en-US" xlink:label="lab_lzm_PaymentsForIssuingSharesTransactionCosts" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Payments for issuing shares, transaction costs</link:label>
    <link:label id="lab_lzm_PaymentsForIssuingSharesTransactionCosts_documentation_en-US" xlink:label="lab_lzm_PaymentsForIssuingSharesTransactionCosts" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Payments for issuing shares, transaction costs</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_PaymentsForIssuingSharesTransactionCosts" xlink:href="lzm-20260930.xsd#lzm_PaymentsForIssuingSharesTransactionCosts"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_PaymentsForIssuingSharesTransactionCosts" xlink:to="lab_lzm_PaymentsForIssuingSharesTransactionCosts" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_CarryingAmountOfAssetsAffectedByCurrencyNotBeingExchangeable_019fae60-c253-7b70-88c5-4e0e356ee56d_terseLabel_en-US" xlink:label="lab_ifrs-full_CarryingAmountOfAssetsAffectedByCurrencyNotBeingExchangeable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Carrying amount of assets affected by currency not being exchangeable</link:label>
    <link:label id="lab_ifrs-full_CarryingAmountOfAssetsAffectedByCurrencyNotBeingExchangeable_label_en-US" xlink:label="lab_ifrs-full_CarryingAmountOfAssetsAffectedByCurrencyNotBeingExchangeable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Carrying amount of assets affected by currency not being exchangeable</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_CarryingAmountOfAssetsAffectedByCurrencyNotBeingExchangeable" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_CarryingAmountOfAssetsAffectedByCurrencyNotBeingExchangeable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_CarryingAmountOfAssetsAffectedByCurrencyNotBeingExchangeable" xlink:to="lab_ifrs-full_CarryingAmountOfAssetsAffectedByCurrencyNotBeingExchangeable" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_Revenue_019fae60-c1ca-786b-b58d-47a4fe2f19ce_terseLabel_en-US" xlink:label="lab_ifrs-full_Revenue" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Revenue</link:label>
    <link:label id="lab_ifrs-full_Revenue_label_en-US" xlink:label="lab_ifrs-full_Revenue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Revenue</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_Revenue" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_Revenue"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_Revenue" xlink:to="lab_ifrs-full_Revenue" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_FinancialAssetsAtFairValueThroughProfitOrLoss_019fae60-c133-77b6-ac75-cca63b847fce_terseLabel_en-US" xlink:label="lab_ifrs-full_FinancialAssetsAtFairValueThroughProfitOrLoss" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Financial assets at fair value through profit or loss</link:label>
    <link:label id="lab_ifrs-full_FinancialAssetsAtFairValueThroughProfitOrLoss_019fae60-c133-72a3-94e4-0918b826648a_periodStartLabel_en-US" xlink:label="lab_ifrs-full_FinancialAssetsAtFairValueThroughProfitOrLoss" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:type="resource" xml:lang="en-US">Beginning balance</link:label>
    <link:label id="lab_ifrs-full_FinancialAssetsAtFairValueThroughProfitOrLoss_019fae60-c133-74a0-8c59-60f24b99849a_periodEndLabel_en-US" xlink:label="lab_ifrs-full_FinancialAssetsAtFairValueThroughProfitOrLoss" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:type="resource" xml:lang="en-US">Ending balance</link:label>
    <link:label id="lab_ifrs-full_FinancialAssetsAtFairValueThroughProfitOrLoss_label_en-US" xlink:label="lab_ifrs-full_FinancialAssetsAtFairValueThroughProfitOrLoss" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Financial assets at fair value through profit or loss</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_FinancialAssetsAtFairValueThroughProfitOrLoss" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_FinancialAssetsAtFairValueThroughProfitOrLoss"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_FinancialAssetsAtFairValueThroughProfitOrLoss" xlink:to="lab_ifrs-full_FinancialAssetsAtFairValueThroughProfitOrLoss" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_RedemptionReserveMember_019fae60-c1ca-713f-97ed-ca27f7032faf_terseLabel_en-US" xlink:label="lab_lzm_RedemptionReserveMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Redemption Reserve</link:label>
    <link:label id="lab_lzm_RedemptionReserveMember_label_en-US" xlink:label="lab_lzm_RedemptionReserveMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Redemption Reserve [Member]</link:label>
    <link:label id="lab_lzm_RedemptionReserveMember_documentation_en-US" xlink:label="lab_lzm_RedemptionReserveMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Redemption Reserve</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_RedemptionReserveMember" xlink:href="lzm-20260930.xsd#lzm_RedemptionReserveMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_RedemptionReserveMember" xlink:to="lab_lzm_RedemptionReserveMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_IssuedCapitalMember_019fae60-c1ca-7be4-8523-0bcb862c9890_terseLabel_en-US" xlink:label="lab_ifrs-full_IssuedCapitalMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Share Capital</link:label>
    <link:label id="lab_ifrs-full_IssuedCapitalMember_label_en-US" xlink:label="lab_ifrs-full_IssuedCapitalMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Issued capital [member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_IssuedCapitalMember" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_IssuedCapitalMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_IssuedCapitalMember" xlink:to="lab_ifrs-full_IssuedCapitalMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_PreTradingTaxLossesForWhichNoDeferredTaxAssetRecognised_019fae60-c253-77c4-a2bb-cfdd77d98a31_terseLabel_en-US" xlink:label="lab_lzm_PreTradingTaxLossesForWhichNoDeferredTaxAssetRecognised" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Pre-trading tax losses</link:label>
    <link:label id="lab_lzm_PreTradingTaxLossesForWhichNoDeferredTaxAssetRecognised_label_en-US" xlink:label="lab_lzm_PreTradingTaxLossesForWhichNoDeferredTaxAssetRecognised" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Pre-Trading Tax Losses For Which No Deferred Tax Asset Recognised</link:label>
    <link:label id="lab_lzm_PreTradingTaxLossesForWhichNoDeferredTaxAssetRecognised_documentation_en-US" xlink:label="lab_lzm_PreTradingTaxLossesForWhichNoDeferredTaxAssetRecognised" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Pre-Trading Tax Losses For Which No Deferred Tax Asset Recognised</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_PreTradingTaxLossesForWhichNoDeferredTaxAssetRecognised" xlink:href="lzm-20260930.xsd#lzm_PreTradingTaxLossesForWhichNoDeferredTaxAssetRecognised"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_PreTradingTaxLossesForWhichNoDeferredTaxAssetRecognised" xlink:to="lab_lzm_PreTradingTaxLossesForWhichNoDeferredTaxAssetRecognised" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ContingentConsiderationMinimumThresholdPeriodPostMilestoneReached_019fae60-c1ca-78d5-a6f9-14fbbc08ac75_terseLabel_en-US" xlink:label="lab_lzm_ContingentConsiderationMinimumThresholdPeriodPostMilestoneReached" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Period minimum to receive deferred cash payment</link:label>
    <link:label id="lab_lzm_ContingentConsiderationMinimumThresholdPeriodPostMilestoneReached_label_en-US" xlink:label="lab_lzm_ContingentConsiderationMinimumThresholdPeriodPostMilestoneReached" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Contingent Consideration, Minimum Threshold, Period Post Milestone Reached</link:label>
    <link:label id="lab_lzm_ContingentConsiderationMinimumThresholdPeriodPostMilestoneReached_documentation_en-US" xlink:label="lab_lzm_ContingentConsiderationMinimumThresholdPeriodPostMilestoneReached" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Contingent Consideration, Minimum Threshold, Period Post Milestone Reached</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ContingentConsiderationMinimumThresholdPeriodPostMilestoneReached" xlink:href="lzm-20260930.xsd#lzm_ContingentConsiderationMinimumThresholdPeriodPostMilestoneReached"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ContingentConsiderationMinimumThresholdPeriodPostMilestoneReached" xlink:to="lab_lzm_ContingentConsiderationMinimumThresholdPeriodPostMilestoneReached" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_WarrantsIssuedAsPartOfSeniorSecuredBridgeLoanFacilityMember_019fae60-c253-799a-882c-4c35b64b3f95_terseLabel_en-US" xlink:label="lab_lzm_WarrantsIssuedAsPartOfSeniorSecuredBridgeLoanFacilityMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Additional warrants issued as part of senior secured bridge loan facility</link:label>
    <link:label id="lab_lzm_WarrantsIssuedAsPartOfSeniorSecuredBridgeLoanFacilityMember_label_en-US" xlink:label="lab_lzm_WarrantsIssuedAsPartOfSeniorSecuredBridgeLoanFacilityMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Warrants Issued As Part Of Senior Secured Bridge Loan Facility [Member]</link:label>
    <link:label id="lab_lzm_WarrantsIssuedAsPartOfSeniorSecuredBridgeLoanFacilityMember_documentation_en-US" xlink:label="lab_lzm_WarrantsIssuedAsPartOfSeniorSecuredBridgeLoanFacilityMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Warrants Issued As Part Of Senior Secured Bridge Loan Facility</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_WarrantsIssuedAsPartOfSeniorSecuredBridgeLoanFacilityMember" xlink:href="lzm-20260930.xsd#lzm_WarrantsIssuedAsPartOfSeniorSecuredBridgeLoanFacilityMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_WarrantsIssuedAsPartOfSeniorSecuredBridgeLoanFacilityMember" xlink:to="lab_lzm_WarrantsIssuedAsPartOfSeniorSecuredBridgeLoanFacilityMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_OtherReservesMember_019fae60-c1ca-7edd-98f7-1e2c95e0295a_terseLabel_en-US" xlink:label="lab_ifrs-full_OtherReservesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Other Reserves1</link:label>
    <link:label id="lab_ifrs-full_OtherReservesMember_label_en-US" xlink:label="lab_ifrs-full_OtherReservesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Other reserves [member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_OtherReservesMember" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_OtherReservesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_OtherReservesMember" xlink:to="lab_ifrs-full_OtherReservesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_WeightedAverageGrantDateFairValueOtherEquityInstrumentsOutstanding_019fae60-c1ca-77e9-9d39-1dc1424c1aa9_periodStartLabel_en-US" xlink:label="lab_lzm_WeightedAverageGrantDateFairValueOtherEquityInstrumentsOutstanding" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:type="resource" xml:lang="en-US">Beginning balance (in dollars per share)</link:label>
    <link:label id="lab_lzm_WeightedAverageGrantDateFairValueOtherEquityInstrumentsOutstanding_019fae60-c1ca-794c-bfc1-282e9cd4ea7f_periodEndLabel_en-US" xlink:label="lab_lzm_WeightedAverageGrantDateFairValueOtherEquityInstrumentsOutstanding" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:type="resource" xml:lang="en-US">Ending balance (in dollars per share)</link:label>
    <link:label id="lab_lzm_WeightedAverageGrantDateFairValueOtherEquityInstrumentsOutstanding_label_en-US" xlink:label="lab_lzm_WeightedAverageGrantDateFairValueOtherEquityInstrumentsOutstanding" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Weighted Average Grant Date Fair Value, Other Equity Instruments Outstanding</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_WeightedAverageGrantDateFairValueOtherEquityInstrumentsOutstanding" xlink:href="lzm-20260930.xsd#lzm_WeightedAverageGrantDateFairValueOtherEquityInstrumentsOutstanding"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_WeightedAverageGrantDateFairValueOtherEquityInstrumentsOutstanding" xlink:to="lab_lzm_WeightedAverageGrantDateFairValueOtherEquityInstrumentsOutstanding" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_DeferredTaxLiabilityROUAssets_019fae60-c253-7361-b01c-a65da6535a5b_negatedTerseLabel_en-US" xlink:label="lab_lzm_DeferredTaxLiabilityROUAssets" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">ROU assets</link:label>
    <link:label id="lab_lzm_DeferredTaxLiabilityROUAssets_label_en-US" xlink:label="lab_lzm_DeferredTaxLiabilityROUAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Deferred Tax Liability, ROU Assets</link:label>
    <link:label id="lab_lzm_DeferredTaxLiabilityROUAssets_documentation_en-US" xlink:label="lab_lzm_DeferredTaxLiabilityROUAssets" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Deferred Tax Liability, ROU Assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_DeferredTaxLiabilityROUAssets" xlink:href="lzm-20260930.xsd#lzm_DeferredTaxLiabilityROUAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_DeferredTaxLiabilityROUAssets" xlink:to="lab_lzm_DeferredTaxLiabilityROUAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfInformationAboutKeyManagementPersonnelExplanatory_019fae60-c253-7ee4-a412-6dad0d400b1d_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfInformationAboutKeyManagementPersonnelExplanatory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Share Based Earnouts to Key Management Personnel</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfInformationAboutKeyManagementPersonnelExplanatory_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfInformationAboutKeyManagementPersonnelExplanatory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of information about key management personnel [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfInformationAboutKeyManagementPersonnelExplanatory" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfInformationAboutKeyManagementPersonnelExplanatory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfInformationAboutKeyManagementPersonnelExplanatory" xlink:to="lab_ifrs-full_DisclosureOfInformationAboutKeyManagementPersonnelExplanatory" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_SharePricesMember_019fae60-c1ca-7e9e-b3c9-2ad4d57834f9_terseLabel_en-US" xlink:label="lab_lzm_SharePricesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Share Price</link:label>
    <link:label id="lab_lzm_SharePricesMember_label_en-US" xlink:label="lab_lzm_SharePricesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Share Prices [Member]</link:label>
    <link:label id="lab_lzm_SharePricesMember_documentation_en-US" xlink:label="lab_lzm_SharePricesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Share Prices</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_SharePricesMember" xlink:href="lzm-20260930.xsd#lzm_SharePricesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_SharePricesMember" xlink:to="lab_lzm_SharePricesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_FinancialRiskReviewDetailsScheduleOfDemonstratesTheEstimatedSensitivityTable_019fae60-c253-7a0b-9ea9-566a658a531f_terseLabel_en-US" xlink:label="lab_lzm_FinancialRiskReviewDetailsScheduleOfDemonstratesTheEstimatedSensitivityTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Disclosure of financial assets [table]</link:label>
    <link:label id="lab_lzm_FinancialRiskReviewDetailsScheduleOfDemonstratesTheEstimatedSensitivityTable_label_en-US" xlink:label="lab_lzm_FinancialRiskReviewDetailsScheduleOfDemonstratesTheEstimatedSensitivityTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Financial Risk Review (Details) - Schedule of Demonstrates the Estimated Sensitivity [Table]</link:label>
    <link:label id="lab_lzm_FinancialRiskReviewDetailsScheduleOfDemonstratesTheEstimatedSensitivityTable_documentation_en-US" xlink:label="lab_lzm_FinancialRiskReviewDetailsScheduleOfDemonstratesTheEstimatedSensitivityTable" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Financial Risk Review (Details) - Schedule of Demonstrates the Estimated Sensitivity</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_FinancialRiskReviewDetailsScheduleOfDemonstratesTheEstimatedSensitivityTable" xlink:href="lzm-20260930.xsd#lzm_FinancialRiskReviewDetailsScheduleOfDemonstratesTheEstimatedSensitivityTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_FinancialRiskReviewDetailsScheduleOfDemonstratesTheEstimatedSensitivityTable" xlink:to="lab_lzm_FinancialRiskReviewDetailsScheduleOfDemonstratesTheEstimatedSensitivityTable" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfGeneralInformationAboutFinancialStatementsExplanatory_019fae60-c133-7e17-aabf-e761b3efd4b7_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfGeneralInformationAboutFinancialStatementsExplanatory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Corporate and Group information</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfGeneralInformationAboutFinancialStatementsExplanatory_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfGeneralInformationAboutFinancialStatementsExplanatory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of general information about financial statements [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfGeneralInformationAboutFinancialStatementsExplanatory" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfGeneralInformationAboutFinancialStatementsExplanatory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfGeneralInformationAboutFinancialStatementsExplanatory" xlink:to="lab_ifrs-full_DisclosureOfGeneralInformationAboutFinancialStatementsExplanatory" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_TaxExpenseIncomeAtApplicableTaxRate_019fae60-c253-7c59-bc57-56ed12090140_terseLabel_en-US" xlink:label="lab_ifrs-full_TaxExpenseIncomeAtApplicableTaxRate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Accounting loss before tax multiplied by the standard rate of corporation tax in the Isle of Man of 0% (2025: 0%)</link:label>
    <link:label id="lab_ifrs-full_TaxExpenseIncomeAtApplicableTaxRate_label_en-US" xlink:label="lab_ifrs-full_TaxExpenseIncomeAtApplicableTaxRate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Tax expense (income) at applicable tax rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_TaxExpenseIncomeAtApplicableTaxRate" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_TaxExpenseIncomeAtApplicableTaxRate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_TaxExpenseIncomeAtApplicableTaxRate" xlink:to="lab_ifrs-full_TaxExpenseIncomeAtApplicableTaxRate" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DescriptionOfInputsUsedInFairValueMeasurementLiabilities_019fae60-c1ca-7cd5-bbd7-581125224bfc_terseLabel_en-US" xlink:label="lab_ifrs-full_DescriptionOfInputsUsedInFairValueMeasurementLiabilities" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Key Inputs</link:label>
    <link:label id="lab_ifrs-full_DescriptionOfInputsUsedInFairValueMeasurementLiabilities_label_en-US" xlink:label="lab_ifrs-full_DescriptionOfInputsUsedInFairValueMeasurementLiabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Description of inputs used in fair value measurement, liabilities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DescriptionOfInputsUsedInFairValueMeasurementLiabilities" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DescriptionOfInputsUsedInFairValueMeasurementLiabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DescriptionOfInputsUsedInFairValueMeasurementLiabilities" xlink:to="lab_ifrs-full_DescriptionOfInputsUsedInFairValueMeasurementLiabilities" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_LaboratoryAndTestingEquipmentMember_019fae60-c1ca-7ca6-a7ea-9948839b5941_terseLabel_en-US" xlink:label="lab_lzm_LaboratoryAndTestingEquipmentMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Laboratory and testing equipment</link:label>
    <link:label id="lab_lzm_LaboratoryAndTestingEquipmentMember_label_en-US" xlink:label="lab_lzm_LaboratoryAndTestingEquipmentMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Laboratory And Testing Equipment [Member]</link:label>
    <link:label id="lab_lzm_LaboratoryAndTestingEquipmentMember_documentation_en-US" xlink:label="lab_lzm_LaboratoryAndTestingEquipmentMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Laboratory And Testing Equipment</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_LaboratoryAndTestingEquipmentMember" xlink:href="lzm-20260930.xsd#lzm_LaboratoryAndTestingEquipmentMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_LaboratoryAndTestingEquipmentMember" xlink:to="lab_lzm_LaboratoryAndTestingEquipmentMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ExercisePriceOfOutstandingShareOptions2019_019fae60-c253-7333-946f-7e342030d122_terseLabel_en-US" xlink:label="lab_ifrs-full_ExercisePriceOfOutstandingShareOptions2019" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Exercise prices (in dollars per share)</link:label>
    <link:label id="lab_ifrs-full_ExercisePriceOfOutstandingShareOptions2019_label_en-US" xlink:label="lab_ifrs-full_ExercisePriceOfOutstandingShareOptions2019" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Exercise price of outstanding share options</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ExercisePriceOfOutstandingShareOptions2019" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ExercisePriceOfOutstandingShareOptions2019"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ExercisePriceOfOutstandingShareOptions2019" xlink:to="lab_ifrs-full_ExercisePriceOfOutstandingShareOptions2019" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_NumberOfInstallments_019fae60-c253-70d7-9263-411b353cbbb6_terseLabel_en-US" xlink:label="lab_lzm_NumberOfInstallments" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Number of installments</link:label>
    <link:label id="lab_lzm_NumberOfInstallments_label_en-US" xlink:label="lab_lzm_NumberOfInstallments" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number Of Installments</link:label>
    <link:label id="lab_lzm_NumberOfInstallments_documentation_en-US" xlink:label="lab_lzm_NumberOfInstallments" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Number Of Installments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_NumberOfInstallments" xlink:href="lzm-20260930.xsd#lzm_NumberOfInstallments"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_NumberOfInstallments" xlink:to="lab_lzm_NumberOfInstallments" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_AssetsAbstract_019fae60-c133-767a-bb0e-c3013d8f8315_terseLabel_en-US" xlink:label="lab_ifrs-full_AssetsAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Assets</link:label>
    <link:label id="lab_ifrs-full_AssetsAbstract_label_en-US" xlink:label="lab_ifrs-full_AssetsAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Assets [abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_AssetsAbstract" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_AssetsAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_AssetsAbstract" xlink:to="lab_ifrs-full_AssetsAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_RightofuseAssetsMember_019fae60-c1ca-7859-923e-b3a1e3e17aab_terseLabel_en-US" xlink:label="lab_ifrs-full_RightofuseAssetsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Right-of-use assets</link:label>
    <link:label id="lab_ifrs-full_RightofuseAssetsMember_label_en-US" xlink:label="lab_ifrs-full_RightofuseAssetsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Right-of-use assets [member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_RightofuseAssetsMember" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_RightofuseAssetsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_RightofuseAssetsMember" xlink:to="lab_ifrs-full_RightofuseAssetsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_NonConvertibleDebt_019fae60-c1ca-76f9-8471-b6644354f5fe_terseLabel_en-US" xlink:label="lab_lzm_NonConvertibleDebt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Non-convertible debt</link:label>
    <link:label id="lab_lzm_NonConvertibleDebt_label_en-US" xlink:label="lab_lzm_NonConvertibleDebt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Non Convertible Debt</link:label>
    <link:label id="lab_lzm_NonConvertibleDebt_documentation_en-US" xlink:label="lab_lzm_NonConvertibleDebt" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Non-convertible debt.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_NonConvertibleDebt" xlink:href="lzm-20260930.xsd#lzm_NonConvertibleDebt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_NonConvertibleDebt" xlink:to="lab_lzm_NonConvertibleDebt" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfInterestIncomeExpenseExplanatory_019fae60-c1ca-773f-859d-4205ea7c51ab_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfInterestIncomeExpenseExplanatory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest income</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfInterestIncomeExpenseExplanatory_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfInterestIncomeExpenseExplanatory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of interest income (expense) [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfInterestIncomeExpenseExplanatory" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfInterestIncomeExpenseExplanatory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfInterestIncomeExpenseExplanatory" xlink:to="lab_ifrs-full_DisclosureOfInterestIncomeExpenseExplanatory" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_TypesOfAntidilutiveInstrumentsAxis_019fae60-c1ca-7176-9fde-fb485962e030_terseLabel_en-US" xlink:label="lab_ifrs-full_TypesOfAntidilutiveInstrumentsAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Types of antidilutive instruments [axis]</link:label>
    <link:label id="lab_ifrs-full_TypesOfAntidilutiveInstrumentsAxis_label_en-US" xlink:label="lab_ifrs-full_TypesOfAntidilutiveInstrumentsAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Types of antidilutive instruments [axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_TypesOfAntidilutiveInstrumentsAxis" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_TypesOfAntidilutiveInstrumentsAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_TypesOfAntidilutiveInstrumentsAxis" xlink:to="lab_ifrs-full_TypesOfAntidilutiveInstrumentsAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_WeightedAverageSharePriceShareOptionsGranted2019_019fae60-c253-7f07-adbf-daf78a579ae5_terseLabel_en-US" xlink:label="lab_ifrs-full_WeightedAverageSharePriceShareOptionsGranted2019" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Share price (in dollars per share)</link:label>
    <link:label id="lab_ifrs-full_WeightedAverageSharePriceShareOptionsGranted2019_label_en-US" xlink:label="lab_ifrs-full_WeightedAverageSharePriceShareOptionsGranted2019" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Weighted average share price, share options granted</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_WeightedAverageSharePriceShareOptionsGranted2019" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_WeightedAverageSharePriceShareOptionsGranted2019"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_WeightedAverageSharePriceShareOptionsGranted2019" xlink:to="lab_ifrs-full_WeightedAverageSharePriceShareOptionsGranted2019" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_CurrentAssetsAbstract_019fae60-c133-7ce8-acdb-6cee468faa92_terseLabel_en-US" xlink:label="lab_ifrs-full_CurrentAssetsAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Current assets</link:label>
    <link:label id="lab_ifrs-full_CurrentAssetsAbstract_label_en-US" xlink:label="lab_ifrs-full_CurrentAssetsAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Current assets [abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_CurrentAssetsAbstract" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_CurrentAssetsAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_CurrentAssetsAbstract" xlink:to="lab_ifrs-full_CurrentAssetsAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_AccountingPronouncementsPolicyTextBlock_019fae60-c1ca-7585-a96c-f3c1c5974a7f_terseLabel_en-US" xlink:label="lab_lzm_AccountingPronouncementsPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Accounting pronouncements</link:label>
    <link:label id="lab_lzm_AccountingPronouncementsPolicyTextBlock_label_en-US" xlink:label="lab_lzm_AccountingPronouncementsPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Accounting Pronouncements [Policy Text Block]</link:label>
    <link:label id="lab_lzm_AccountingPronouncementsPolicyTextBlock_documentation_en-US" xlink:label="lab_lzm_AccountingPronouncementsPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Accounting pronouncements.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_AccountingPronouncementsPolicyTextBlock" xlink:href="lzm-20260930.xsd#lzm_AccountingPronouncementsPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_AccountingPronouncementsPolicyTextBlock" xlink:to="lab_lzm_AccountingPronouncementsPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_RevenueAbstract_019fae60-c1ca-7c04-9ee9-e2f63b3a8797_terseLabel_en-US" xlink:label="lab_ifrs-full_RevenueAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Revenue [abstract]</link:label>
    <link:label id="lab_ifrs-full_RevenueAbstract_label_en-US" xlink:label="lab_ifrs-full_RevenueAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Revenue [abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_RevenueAbstract" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_RevenueAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_RevenueAbstract" xlink:to="lab_ifrs-full_RevenueAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_NoncurrentAssetsAbstract_019fae60-c133-7749-aaf3-a7bd31a26239_terseLabel_en-US" xlink:label="lab_ifrs-full_NoncurrentAssetsAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Non-current assets</link:label>
    <link:label id="lab_ifrs-full_NoncurrentAssetsAbstract_label_en-US" xlink:label="lab_ifrs-full_NoncurrentAssetsAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Non-current assets [abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_NoncurrentAssetsAbstract" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_NoncurrentAssetsAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_NoncurrentAssetsAbstract" xlink:to="lab_ifrs-full_NoncurrentAssetsAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_PresentationOfLeasesForLesseeAbstract_label_en-US" xlink:label="lab_ifrs-full_PresentationOfLeasesForLesseeAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Presentation of leases for lessee [abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_PresentationOfLeasesForLesseeAbstract" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_PresentationOfLeasesForLesseeAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_PresentationOfLeasesForLesseeAbstract" xlink:to="lab_ifrs-full_PresentationOfLeasesForLesseeAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfReservesWithinEquityTable_019fae60-c253-7169-8641-42d5f2417246_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfReservesWithinEquityTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Disclosure of reserves within equity [table]</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfReservesWithinEquityTable_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfReservesWithinEquityTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of reserves within equity [table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfReservesWithinEquityTable" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfReservesWithinEquityTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfReservesWithinEquityTable" xlink:to="lab_ifrs-full_DisclosureOfReservesWithinEquityTable" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_DrMichaelAdamsMember_019fae60-c1ca-7372-be90-8bfb3d6059ef_terseLabel_en-US" xlink:label="lab_lzm_DrMichaelAdamsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Dr. Michael Adams</link:label>
    <link:label id="lab_lzm_DrMichaelAdamsMember_label_en-US" xlink:label="lab_lzm_DrMichaelAdamsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Dr Michael Adams [Member]</link:label>
    <link:label id="lab_lzm_DrMichaelAdamsMember_documentation_en-US" xlink:label="lab_lzm_DrMichaelAdamsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Dr Michael Adams</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_DrMichaelAdamsMember" xlink:href="lzm-20260930.xsd#lzm_DrMichaelAdamsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_DrMichaelAdamsMember" xlink:to="lab_lzm_DrMichaelAdamsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_AdditionsOtherThanThroughBusinessCombinationsPropertyPlantAndEquipmentIncludingRightofuseAssets_019fae60-c1ca-7408-8994-3c21dc4916f5_terseLabel_en-US" xlink:label="lab_ifrs-full_AdditionsOtherThanThroughBusinessCombinationsPropertyPlantAndEquipmentIncludingRightofuseAssets" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Additions</link:label>
    <link:label id="lab_ifrs-full_AdditionsOtherThanThroughBusinessCombinationsPropertyPlantAndEquipmentIncludingRightofuseAssets_label_en-US" xlink:label="lab_ifrs-full_AdditionsOtherThanThroughBusinessCombinationsPropertyPlantAndEquipmentIncludingRightofuseAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Additions other than through business combinations, property, plant and equipment including right-of-use assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_AdditionsOtherThanThroughBusinessCombinationsPropertyPlantAndEquipmentIncludingRightofuseAssets" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_AdditionsOtherThanThroughBusinessCombinationsPropertyPlantAndEquipmentIncludingRightofuseAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_AdditionsOtherThanThroughBusinessCombinationsPropertyPlantAndEquipmentIncludingRightofuseAssets" xlink:to="lab_ifrs-full_AdditionsOtherThanThroughBusinessCombinationsPropertyPlantAndEquipmentIncludingRightofuseAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_GeneralAndAdministrativeExpense_019fae60-c1ca-7c5a-b16d-07222ccd8069_negatedTerseLabel_en-US" xlink:label="lab_ifrs-full_GeneralAndAdministrativeExpense" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">General and administrative expenses</link:label>
    <link:label id="lab_ifrs-full_GeneralAndAdministrativeExpense_019fae60-c1ca-7e6c-993c-9b0c04eadb2f_totalLabel_en-US" xlink:label="lab_ifrs-full_GeneralAndAdministrativeExpense" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">General and administrative expense</link:label>
    <link:label id="lab_ifrs-full_GeneralAndAdministrativeExpense_019fae60-c1ca-7331-b373-36189f37cdd3_terseLabel_en-US" xlink:label="lab_ifrs-full_GeneralAndAdministrativeExpense" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">General and administrative expenses</link:label>
    <link:label id="lab_ifrs-full_GeneralAndAdministrativeExpense_label_en-US" xlink:label="lab_ifrs-full_GeneralAndAdministrativeExpense" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">General and administrative expense</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_GeneralAndAdministrativeExpense" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_GeneralAndAdministrativeExpense"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_GeneralAndAdministrativeExpense" xlink:to="lab_ifrs-full_GeneralAndAdministrativeExpense" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_JonathanAdamsMember_019fae60-c1ca-702d-9ff4-158ee2b5b9bc_terseLabel_en-US" xlink:label="lab_lzm_JonathanAdamsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Jonathan Adams</link:label>
    <link:label id="lab_lzm_JonathanAdamsMember_label_en-US" xlink:label="lab_lzm_JonathanAdamsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Jonathan Adams [Member]</link:label>
    <link:label id="lab_lzm_JonathanAdamsMember_documentation_en-US" xlink:label="lab_lzm_JonathanAdamsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Jonathan Adams</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_JonathanAdamsMember" xlink:href="lzm-20260930.xsd#lzm_JonathanAdamsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_JonathanAdamsMember" xlink:to="lab_lzm_JonathanAdamsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ForeignExchangeImpactOfLeaseLiabilities_019fae60-c253-7f0a-8820-a82ba7d4f1bc_terseLabel_en-US" xlink:label="lab_lzm_ForeignExchangeImpactOfLeaseLiabilities" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Foreign exchange impact</link:label>
    <link:label id="lab_lzm_ForeignExchangeImpactOfLeaseLiabilities_label_en-US" xlink:label="lab_lzm_ForeignExchangeImpactOfLeaseLiabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Foreign Exchange Impact Of Lease Liabilities</link:label>
    <link:label id="lab_lzm_ForeignExchangeImpactOfLeaseLiabilities_documentation_en-US" xlink:label="lab_lzm_ForeignExchangeImpactOfLeaseLiabilities" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Foreign Exchange Impact Of Lease Liabilities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ForeignExchangeImpactOfLeaseLiabilities" xlink:href="lzm-20260930.xsd#lzm_ForeignExchangeImpactOfLeaseLiabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ForeignExchangeImpactOfLeaseLiabilities" xlink:to="lab_lzm_ForeignExchangeImpactOfLeaseLiabilities" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfIncomeTaxExplanatory_019fae60-c133-7aec-a04c-45a86865d406_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfIncomeTaxExplanatory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Taxation</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfIncomeTaxExplanatory_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfIncomeTaxExplanatory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of income tax [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfIncomeTaxExplanatory" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfIncomeTaxExplanatory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfIncomeTaxExplanatory" xlink:to="lab_ifrs-full_DisclosureOfIncomeTaxExplanatory" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ExplorationAndEvaluationAssetsMember_019fae60-c133-7cdb-992b-bf7089c2d7f1_terseLabel_en-US" xlink:label="lab_ifrs-full_ExplorationAndEvaluationAssetsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Exploration and evaluation assets</link:label>
    <link:label id="lab_ifrs-full_ExplorationAndEvaluationAssetsMember_label_en-US" xlink:label="lab_ifrs-full_ExplorationAndEvaluationAssetsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Exploration and evaluation assets [member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ExplorationAndEvaluationAssetsMember" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ExplorationAndEvaluationAssetsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ExplorationAndEvaluationAssetsMember" xlink:to="lab_ifrs-full_ExplorationAndEvaluationAssetsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_IncreaseInSharePriceVolatilityWouldResultInIncreaseInFairValue_019fae60-c253-781b-a840-205c76a55401_terseLabel_en-US" xlink:label="lab_lzm_IncreaseInSharePriceVolatilityWouldResultInIncreaseInFairValue" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Increase in share price volatility result in increase in fair value</link:label>
    <link:label id="lab_lzm_IncreaseInSharePriceVolatilityWouldResultInIncreaseInFairValue_label_en-US" xlink:label="lab_lzm_IncreaseInSharePriceVolatilityWouldResultInIncreaseInFairValue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Increase In Share Price Volatility Would Result In Increase In Fair Value</link:label>
    <link:label id="lab_lzm_IncreaseInSharePriceVolatilityWouldResultInIncreaseInFairValue_documentation_en-US" xlink:label="lab_lzm_IncreaseInSharePriceVolatilityWouldResultInIncreaseInFairValue" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Increase In Share Price Volatility Would Result In Increase In Fair Value</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_IncreaseInSharePriceVolatilityWouldResultInIncreaseInFairValue" xlink:href="lzm-20260930.xsd#lzm_IncreaseInSharePriceVolatilityWouldResultInIncreaseInFairValue"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_IncreaseInSharePriceVolatilityWouldResultInIncreaseInFairValue" xlink:to="lab_lzm_IncreaseInSharePriceVolatilityWouldResultInIncreaseInFairValue" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_MeasurementInputDiscountRateMember_019fae60-c253-7dbb-9ec8-79444e953dcb_terseLabel_en-US" xlink:label="lab_lzm_MeasurementInputDiscountRateMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Measurement Input, Discount Rate</link:label>
    <link:label id="lab_lzm_MeasurementInputDiscountRateMember_label_en-US" xlink:label="lab_lzm_MeasurementInputDiscountRateMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Measurement Input, Discount Rate [Member]</link:label>
    <link:label id="lab_lzm_MeasurementInputDiscountRateMember_documentation_en-US" xlink:label="lab_lzm_MeasurementInputDiscountRateMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Measurement Input, Discount Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_MeasurementInputDiscountRateMember" xlink:href="lzm-20260930.xsd#lzm_MeasurementInputDiscountRateMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_MeasurementInputDiscountRateMember" xlink:to="lab_lzm_MeasurementInputDiscountRateMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_DebtInstrumentCovenantRatio_019fae60-c253-7182-b5f1-f715e6753719_terseLabel_en-US" xlink:label="lab_lzm_DebtInstrumentCovenantRatio" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Financial covenants ratio</link:label>
    <link:label id="lab_lzm_DebtInstrumentCovenantRatio_label_en-US" xlink:label="lab_lzm_DebtInstrumentCovenantRatio" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt Instrument, Covenant, Ratio</link:label>
    <link:label id="lab_lzm_DebtInstrumentCovenantRatio_documentation_en-US" xlink:label="lab_lzm_DebtInstrumentCovenantRatio" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Debt Instrument, Covenant, Ratio</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_DebtInstrumentCovenantRatio" xlink:href="lzm-20260930.xsd#lzm_DebtInstrumentCovenantRatio"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_DebtInstrumentCovenantRatio" xlink:to="lab_lzm_DebtInstrumentCovenantRatio" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_PreTradingCapitalLossesForWhichNoDeferredTaxAssetRecognised_019fae60-c253-78fa-9cdd-f72f7403857b_terseLabel_en-US" xlink:label="lab_lzm_PreTradingCapitalLossesForWhichNoDeferredTaxAssetRecognised" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Pre-trading capital losses</link:label>
    <link:label id="lab_lzm_PreTradingCapitalLossesForWhichNoDeferredTaxAssetRecognised_label_en-US" xlink:label="lab_lzm_PreTradingCapitalLossesForWhichNoDeferredTaxAssetRecognised" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Pre-Trading Capital Losses For Which No Deferred Tax Asset Recognised</link:label>
    <link:label id="lab_lzm_PreTradingCapitalLossesForWhichNoDeferredTaxAssetRecognised_documentation_en-US" xlink:label="lab_lzm_PreTradingCapitalLossesForWhichNoDeferredTaxAssetRecognised" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Pre-Trading Capital Losses For Which No Deferred Tax Asset Recognised</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_PreTradingCapitalLossesForWhichNoDeferredTaxAssetRecognised" xlink:href="lzm-20260930.xsd#lzm_PreTradingCapitalLossesForWhichNoDeferredTaxAssetRecognised"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_PreTradingCapitalLossesForWhichNoDeferredTaxAssetRecognised" xlink:to="lab_lzm_PreTradingCapitalLossesForWhichNoDeferredTaxAssetRecognised" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_DisclosureOfRevenueTableTextBlock_019fae60-c1ca-7865-8330-aad78afbf204_terseLabel_en-US" xlink:label="lab_lzm_DisclosureOfRevenueTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Revenue</link:label>
    <link:label id="lab_lzm_DisclosureOfRevenueTableTextBlock_label_en-US" xlink:label="lab_lzm_DisclosureOfRevenueTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure Of Revenue [Table Text Block]</link:label>
    <link:label id="lab_lzm_DisclosureOfRevenueTableTextBlock_documentation_en-US" xlink:label="lab_lzm_DisclosureOfRevenueTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Disclosure of revenue.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_DisclosureOfRevenueTableTextBlock" xlink:href="lzm-20260930.xsd#lzm_DisclosureOfRevenueTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_DisclosureOfRevenueTableTextBlock" xlink:to="lab_lzm_DisclosureOfRevenueTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfNumberAndWeightedAverageExercisePricesOfShareOptionsExplanatory_019fae60-c253-748d-b307-bb81de2fdfa1_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfNumberAndWeightedAverageExercisePricesOfShareOptionsExplanatory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Share Options</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfNumberAndWeightedAverageExercisePricesOfShareOptionsExplanatory_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfNumberAndWeightedAverageExercisePricesOfShareOptionsExplanatory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of number and weighted average exercise prices of share options [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfNumberAndWeightedAverageExercisePricesOfShareOptionsExplanatory" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfNumberAndWeightedAverageExercisePricesOfShareOptionsExplanatory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfNumberAndWeightedAverageExercisePricesOfShareOptionsExplanatory" xlink:to="lab_ifrs-full_DisclosureOfNumberAndWeightedAverageExercisePricesOfShareOptionsExplanatory" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ComputerSoftwareMember_019fae60-c253-7dcf-97fa-f3699000219d_terseLabel_en-US" xlink:label="lab_ifrs-full_ComputerSoftwareMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Software</link:label>
    <link:label id="lab_ifrs-full_ComputerSoftwareMember_label_en-US" xlink:label="lab_ifrs-full_ComputerSoftwareMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Computer software [member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ComputerSoftwareMember" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ComputerSoftwareMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ComputerSoftwareMember" xlink:to="lab_ifrs-full_ComputerSoftwareMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_RelatedPartyTransaction1Axis_019fae60-c1ca-779a-b792-b30c26eaf53e_terseLabel_en-US" xlink:label="lab_lzm_RelatedPartyTransaction1Axis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Related Party Transaction [Axis]</link:label>
    <link:label id="lab_lzm_RelatedPartyTransaction1Axis_label_en-US" xlink:label="lab_lzm_RelatedPartyTransaction1Axis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Related Party Transaction1 [Axis]</link:label>
    <link:label id="lab_lzm_RelatedPartyTransaction1Axis_documentation_en-US" xlink:label="lab_lzm_RelatedPartyTransaction1Axis" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Related Party Transaction1</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_RelatedPartyTransaction1Axis" xlink:href="lzm-20260930.xsd#lzm_RelatedPartyTransaction1Axis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_RelatedPartyTransaction1Axis" xlink:to="lab_lzm_RelatedPartyTransaction1Axis" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_TradeAndOtherCurrentPayablesToRelatedParties_019fae60-c133-7f6d-b417-74f85f8f3491_terseLabel_en-US" xlink:label="lab_ifrs-full_TradeAndOtherCurrentPayablesToRelatedParties" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Related party payables</link:label>
    <link:label id="lab_ifrs-full_TradeAndOtherCurrentPayablesToRelatedParties_label_en-US" xlink:label="lab_ifrs-full_TradeAndOtherCurrentPayablesToRelatedParties" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Current payables to related parties</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_TradeAndOtherCurrentPayablesToRelatedParties" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_TradeAndOtherCurrentPayablesToRelatedParties"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_TradeAndOtherCurrentPayablesToRelatedParties" xlink:to="lab_ifrs-full_TradeAndOtherCurrentPayablesToRelatedParties" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_SeniorSecuredBridgeLoanFacilityAdditionalWarrantsMember_019fae60-c253-727d-9958-7dfef067f8b9_terseLabel_en-US" xlink:label="lab_lzm_SeniorSecuredBridgeLoanFacilityAdditionalWarrantsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Senior Secured Bridge Loan Facility Additional Warrants</link:label>
    <link:label id="lab_lzm_SeniorSecuredBridgeLoanFacilityAdditionalWarrantsMember_label_en-US" xlink:label="lab_lzm_SeniorSecuredBridgeLoanFacilityAdditionalWarrantsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Senior Secured Bridge Loan Facility Additional Warrants [Member]</link:label>
    <link:label id="lab_lzm_SeniorSecuredBridgeLoanFacilityAdditionalWarrantsMember_documentation_en-US" xlink:label="lab_lzm_SeniorSecuredBridgeLoanFacilityAdditionalWarrantsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Senior Secured Bridge Loan Facility Additional Warrants</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_SeniorSecuredBridgeLoanFacilityAdditionalWarrantsMember" xlink:href="lzm-20260930.xsd#lzm_SeniorSecuredBridgeLoanFacilityAdditionalWarrantsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_SeniorSecuredBridgeLoanFacilityAdditionalWarrantsMember" xlink:to="lab_lzm_SeniorSecuredBridgeLoanFacilityAdditionalWarrantsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_DisclosureOfShareBasedPaymentExpenseTableTextBlock_019fae60-c253-73a4-b927-6aba600c104f_terseLabel_en-US" xlink:label="lab_lzm_DisclosureOfShareBasedPaymentExpenseTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Share Based Payment Expense</link:label>
    <link:label id="lab_lzm_DisclosureOfShareBasedPaymentExpenseTableTextBlock_label_en-US" xlink:label="lab_lzm_DisclosureOfShareBasedPaymentExpenseTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure Of Share Based Payment Expense [Table Text Block]</link:label>
    <link:label id="lab_lzm_DisclosureOfShareBasedPaymentExpenseTableTextBlock_documentation_en-US" xlink:label="lab_lzm_DisclosureOfShareBasedPaymentExpenseTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Disclosure Of Share Based Payment Expense</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_DisclosureOfShareBasedPaymentExpenseTableTextBlock" xlink:href="lzm-20260930.xsd#lzm_DisclosureOfShareBasedPaymentExpenseTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_DisclosureOfShareBasedPaymentExpenseTableTextBlock" xlink:to="lab_lzm_DisclosureOfShareBasedPaymentExpenseTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ReserveOfSharebasedPaymentsMember_019fae60-c1ca-7cff-8b7c-0e5efec70d4d_terseLabel_en-US" xlink:label="lab_ifrs-full_ReserveOfSharebasedPaymentsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Share Based Payment Reserve</link:label>
    <link:label id="lab_ifrs-full_ReserveOfSharebasedPaymentsMember_label_en-US" xlink:label="lab_ifrs-full_ReserveOfSharebasedPaymentsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Reserve of share-based payments [member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ReserveOfSharebasedPaymentsMember" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ReserveOfSharebasedPaymentsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ReserveOfSharebasedPaymentsMember" xlink:to="lab_ifrs-full_ReserveOfSharebasedPaymentsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_CashFlowsFromUsedInInvestingActivitiesAbstract_019fae60-c1ca-7b86-9494-736e277a678d_terseLabel_en-US" xlink:label="lab_ifrs-full_CashFlowsFromUsedInInvestingActivitiesAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cash flows from investing activities</link:label>
    <link:label id="lab_ifrs-full_CashFlowsFromUsedInInvestingActivitiesAbstract_label_en-US" xlink:label="lab_ifrs-full_CashFlowsFromUsedInInvestingActivitiesAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash flows from (used in) investing activities [abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_CashFlowsFromUsedInInvestingActivitiesAbstract" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_CashFlowsFromUsedInInvestingActivitiesAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_CashFlowsFromUsedInInvestingActivitiesAbstract" xlink:to="lab_ifrs-full_CashFlowsFromUsedInInvestingActivitiesAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_NumberOfKilometersThatProjectLies_019fae60-c253-7763-8146-ef303b28de67_terseLabel_en-US" xlink:label="lab_lzm_NumberOfKilometersThatProjectLies" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Number of kilometers that project lies</link:label>
    <link:label id="lab_lzm_NumberOfKilometersThatProjectLies_label_en-US" xlink:label="lab_lzm_NumberOfKilometersThatProjectLies" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number Of Kilometers That Project Lies</link:label>
    <link:label id="lab_lzm_NumberOfKilometersThatProjectLies_documentation_en-US" xlink:label="lab_lzm_NumberOfKilometersThatProjectLies" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Number Of Kilometers That Project Lies</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_NumberOfKilometersThatProjectLies" xlink:href="lzm-20260930.xsd#lzm_NumberOfKilometersThatProjectLies"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_NumberOfKilometersThatProjectLies" xlink:to="lab_lzm_NumberOfKilometersThatProjectLies" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ShareBasedPaymentExpenseRestrictedStockUnits_019fae60-c253-70ef-9b62-e1debfef251e_terseLabel_en-US" xlink:label="lab_lzm_ShareBasedPaymentExpenseRestrictedStockUnits" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Share-based expense - RSU &amp; share options</link:label>
    <link:label id="lab_lzm_ShareBasedPaymentExpenseRestrictedStockUnits_label_en-US" xlink:label="lab_lzm_ShareBasedPaymentExpenseRestrictedStockUnits" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Share-Based Payment Expense, Restricted Stock Units</link:label>
    <link:label id="lab_lzm_ShareBasedPaymentExpenseRestrictedStockUnits_documentation_en-US" xlink:label="lab_lzm_ShareBasedPaymentExpenseRestrictedStockUnits" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Share-based payment expense - restricted stock units.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ShareBasedPaymentExpenseRestrictedStockUnits" xlink:href="lzm-20260930.xsd#lzm_ShareBasedPaymentExpenseRestrictedStockUnits"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ShareBasedPaymentExpenseRestrictedStockUnits" xlink:to="lab_lzm_ShareBasedPaymentExpenseRestrictedStockUnits" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_NumberOfEmbeddedDerivatives_019fae60-c1ca-7887-8fe0-254922e6df4c_terseLabel_en-US" xlink:label="lab_lzm_NumberOfEmbeddedDerivatives" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Number of embedded derivatives</link:label>
    <link:label id="lab_lzm_NumberOfEmbeddedDerivatives_label_en-US" xlink:label="lab_lzm_NumberOfEmbeddedDerivatives" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number Of Embedded Derivatives</link:label>
    <link:label id="lab_lzm_NumberOfEmbeddedDerivatives_documentation_en-US" xlink:label="lab_lzm_NumberOfEmbeddedDerivatives" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Number Of Embedded Derivatives</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_NumberOfEmbeddedDerivatives" xlink:href="lzm-20260930.xsd#lzm_NumberOfEmbeddedDerivatives"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_NumberOfEmbeddedDerivatives" xlink:to="lab_lzm_NumberOfEmbeddedDerivatives" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DilutiveEffectOfConvertibleInstrumentsOnNumberOfOrdinaryShares_019fae60-c253-78d3-9b0b-e89a425b8137_terseLabel_en-US" xlink:label="lab_ifrs-full_DilutiveEffectOfConvertibleInstrumentsOnNumberOfOrdinaryShares" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Convertible debentures (in shares)</link:label>
    <link:label id="lab_ifrs-full_DilutiveEffectOfConvertibleInstrumentsOnNumberOfOrdinaryShares_label_en-US" xlink:label="lab_ifrs-full_DilutiveEffectOfConvertibleInstrumentsOnNumberOfOrdinaryShares" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Dilutive effect of convertible instruments on weighted average number of ordinary shares</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DilutiveEffectOfConvertibleInstrumentsOnNumberOfOrdinaryShares" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DilutiveEffectOfConvertibleInstrumentsOnNumberOfOrdinaryShares"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DilutiveEffectOfConvertibleInstrumentsOnNumberOfOrdinaryShares" xlink:to="lab_ifrs-full_DilutiveEffectOfConvertibleInstrumentsOnNumberOfOrdinaryShares" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DescriptionOfRiskFreeInterestRateShareOptionsGranted_019fae60-c1ca-7ebc-9fc7-27ca0b267f4b_terseLabel_en-US" xlink:label="lab_ifrs-full_DescriptionOfRiskFreeInterestRateShareOptionsGranted" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Risk free rate</link:label>
    <link:label id="lab_ifrs-full_DescriptionOfRiskFreeInterestRateShareOptionsGranted_label_en-US" xlink:label="lab_ifrs-full_DescriptionOfRiskFreeInterestRateShareOptionsGranted" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Risk free interest rate, share options granted</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DescriptionOfRiskFreeInterestRateShareOptionsGranted" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DescriptionOfRiskFreeInterestRateShareOptionsGranted"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DescriptionOfRiskFreeInterestRateShareOptionsGranted" xlink:to="lab_ifrs-full_DescriptionOfRiskFreeInterestRateShareOptionsGranted" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_AmountReceivedFromFirstTrancheForFinanceFund_019fae60-c253-748c-a9bb-5a4d5dcce3f8_terseLabel_en-US" xlink:label="lab_lzm_AmountReceivedFromFirstTrancheForFinanceFund" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Amount received from first tranche for finance fund</link:label>
    <link:label id="lab_lzm_AmountReceivedFromFirstTrancheForFinanceFund_label_en-US" xlink:label="lab_lzm_AmountReceivedFromFirstTrancheForFinanceFund" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Amount Received From First Tranche For Finance Fund</link:label>
    <link:label id="lab_lzm_AmountReceivedFromFirstTrancheForFinanceFund_documentation_en-US" xlink:label="lab_lzm_AmountReceivedFromFirstTrancheForFinanceFund" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Amount Received From First Tranche For Finance Fund</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_AmountReceivedFromFirstTrancheForFinanceFund" xlink:href="lzm-20260930.xsd#lzm_AmountReceivedFromFirstTrancheForFinanceFund"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_AmountReceivedFromFirstTrancheForFinanceFund" xlink:to="lab_lzm_AmountReceivedFromFirstTrancheForFinanceFund" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_GainsLossesOnChangeInFairValueOfDerivatives_019fae60-c1ca-7ae2-9dc7-929f26b59b34_terseLabel_en-US" xlink:label="lab_ifrs-full_GainsLossesOnChangeInFairValueOfDerivatives" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair value gain (loss) on embedded derivatives</link:label>
    <link:label id="lab_ifrs-full_GainsLossesOnChangeInFairValueOfDerivatives_01a15b40-513c-72ec-bf56-79582be3c076_verboseLabel_en-US" xlink:label="lab_ifrs-full_GainsLossesOnChangeInFairValueOfDerivatives" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Fair value gain (loss) on embedded derivatives</link:label>
    <link:label id="lab_ifrs-full_GainsLossesOnChangeInFairValueOfDerivatives_label_en-US" xlink:label="lab_ifrs-full_GainsLossesOnChangeInFairValueOfDerivatives" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Gains (losses) on change in fair value of derivatives</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_GainsLossesOnChangeInFairValueOfDerivatives" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_GainsLossesOnChangeInFairValueOfDerivatives"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_GainsLossesOnChangeInFairValueOfDerivatives" xlink:to="lab_ifrs-full_GainsLossesOnChangeInFairValueOfDerivatives" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_IncreaseDecreaseThroughSharebasedPaymentTransactions_019fae60-c253-7f2d-a912-6bc33e907b0d_terseLabel_en-US" xlink:label="lab_ifrs-full_IncreaseDecreaseThroughSharebasedPaymentTransactions" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Share-based payments</link:label>
    <link:label id="lab_ifrs-full_IncreaseDecreaseThroughSharebasedPaymentTransactions_label_en-US" xlink:label="lab_ifrs-full_IncreaseDecreaseThroughSharebasedPaymentTransactions" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Increase (decrease) through share-based payment transactions, equity</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_IncreaseDecreaseThroughSharebasedPaymentTransactions" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_IncreaseDecreaseThroughSharebasedPaymentTransactions"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_IncreaseDecreaseThroughSharebasedPaymentTransactions" xlink:to="lab_ifrs-full_IncreaseDecreaseThroughSharebasedPaymentTransactions" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_BorrowingFacilitiesMaximumBorrowingCapacity_019fae60-c1ca-78fa-b40c-e14d33d59386_terseLabel_en-US" xlink:label="lab_lzm_BorrowingFacilitiesMaximumBorrowingCapacity" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Borrowing capacity</link:label>
    <link:label id="lab_lzm_BorrowingFacilitiesMaximumBorrowingCapacity_label_en-US" xlink:label="lab_lzm_BorrowingFacilitiesMaximumBorrowingCapacity" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Borrowing Facilities, Maximum Borrowing Capacity</link:label>
    <link:label id="lab_lzm_BorrowingFacilitiesMaximumBorrowingCapacity_documentation_en-US" xlink:label="lab_lzm_BorrowingFacilitiesMaximumBorrowingCapacity" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Borrowing Facilities, Maximum Borrowing Capacity</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_BorrowingFacilitiesMaximumBorrowingCapacity" xlink:href="lzm-20260930.xsd#lzm_BorrowingFacilitiesMaximumBorrowingCapacity"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_BorrowingFacilitiesMaximumBorrowingCapacity" xlink:to="lab_lzm_BorrowingFacilitiesMaximumBorrowingCapacity" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_LeaseLiabilitiesAbstract_019fae60-c1ca-771f-ac0c-eeae4d8a3d3e_terseLabel_en-US" xlink:label="lab_ifrs-full_LeaseLiabilitiesAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Lease liabilities [abstract]</link:label>
    <link:label id="lab_ifrs-full_LeaseLiabilitiesAbstract_label_en-US" xlink:label="lab_ifrs-full_LeaseLiabilitiesAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Lease liabilities [abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_LeaseLiabilitiesAbstract" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_LeaseLiabilitiesAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_LeaseLiabilitiesAbstract" xlink:to="lab_ifrs-full_LeaseLiabilitiesAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_LifezoneRecyclingUSLLCMember_019fae60-c1ca-7ed8-9b99-b0d68c7487e9_terseLabel_en-US" xlink:label="lab_lzm_LifezoneRecyclingUSLLCMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Lifezone Recycling US, LLC</link:label>
    <link:label id="lab_lzm_LifezoneRecyclingUSLLCMember_label_en-US" xlink:label="lab_lzm_LifezoneRecyclingUSLLCMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Lifezone Recycling US, LLC [Member]</link:label>
    <link:label id="lab_lzm_LifezoneRecyclingUSLLCMember_documentation_en-US" xlink:label="lab_lzm_LifezoneRecyclingUSLLCMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Lifezone Recycling US, LLC</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_LifezoneRecyclingUSLLCMember" xlink:href="lzm-20260930.xsd#lzm_LifezoneRecyclingUSLLCMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_LifezoneRecyclingUSLLCMember" xlink:to="lab_lzm_LifezoneRecyclingUSLLCMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ScheduleOfTransactionCostsTableTextBlock_019fae60-c1ca-7f22-b0f3-436bac313656_terseLabel_en-US" xlink:label="lab_lzm_ScheduleOfTransactionCostsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule Of Transaction Costs</link:label>
    <link:label id="lab_lzm_ScheduleOfTransactionCostsTableTextBlock_label_en-US" xlink:label="lab_lzm_ScheduleOfTransactionCostsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule Of Transaction Costs [Table Text Block]</link:label>
    <link:label id="lab_lzm_ScheduleOfTransactionCostsTableTextBlock_documentation_en-US" xlink:label="lab_lzm_ScheduleOfTransactionCostsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Schedule Of Transaction Costs</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ScheduleOfTransactionCostsTableTextBlock" xlink:href="lzm-20260930.xsd#lzm_ScheduleOfTransactionCostsTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ScheduleOfTransactionCostsTableTextBlock" xlink:to="lab_lzm_ScheduleOfTransactionCostsTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ExplorationAndEvaluationAssetsAndMiningDataAbstract_019fae60-c1ca-7bcd-8a02-8aa2d4444888_terseLabel_en-US" xlink:label="lab_lzm_ExplorationAndEvaluationAssetsAndMiningDataAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Exploration and Evaluation Assets and Mining Data [Abstract]</link:label>
    <link:label id="lab_lzm_ExplorationAndEvaluationAssetsAndMiningDataAbstract_label_en-US" xlink:label="lab_lzm_ExplorationAndEvaluationAssetsAndMiningDataAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Exploration and Evaluation Assets and Mining Data [Abstract]</link:label>
    <link:label id="lab_lzm_ExplorationAndEvaluationAssetsAndMiningDataAbstract_documentation_en-US" xlink:label="lab_lzm_ExplorationAndEvaluationAssetsAndMiningDataAbstract" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Exploration and Evaluation Assets and Mining Data [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ExplorationAndEvaluationAssetsAndMiningDataAbstract" xlink:href="lzm-20260930.xsd#lzm_ExplorationAndEvaluationAssetsAndMiningDataAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ExplorationAndEvaluationAssetsAndMiningDataAbstract" xlink:to="lab_lzm_ExplorationAndEvaluationAssetsAndMiningDataAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_FairValueOfStockOptionsGrantedMember_019fae60-c253-73d1-b6bb-d81b7fb9573e_terseLabel_en-US" xlink:label="lab_lzm_FairValueOfStockOptionsGrantedMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair value of stock options granted</link:label>
    <link:label id="lab_lzm_FairValueOfStockOptionsGrantedMember_label_en-US" xlink:label="lab_lzm_FairValueOfStockOptionsGrantedMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value Of Stock Options Granted [Member]</link:label>
    <link:label id="lab_lzm_FairValueOfStockOptionsGrantedMember_documentation_en-US" xlink:label="lab_lzm_FairValueOfStockOptionsGrantedMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Fair Value Of Stock Options Granted</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_FairValueOfStockOptionsGrantedMember" xlink:href="lzm-20260930.xsd#lzm_FairValueOfStockOptionsGrantedMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_FairValueOfStockOptionsGrantedMember" xlink:to="lab_lzm_FairValueOfStockOptionsGrantedMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_NoncurrentAssets_019fae60-c133-7d97-b54f-cc3c5e758a3f_totalLabel_en-US" xlink:label="lab_ifrs-full_NoncurrentAssets" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Non-current assets</link:label>
    <link:label id="lab_ifrs-full_NoncurrentAssets_019fae60-c133-7960-9050-2542b9161d25_terseLabel_en-US" xlink:label="lab_ifrs-full_NoncurrentAssets" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Non-current assets</link:label>
    <link:label id="lab_ifrs-full_NoncurrentAssets_label_en-US" xlink:label="lab_ifrs-full_NoncurrentAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Non-current assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_NoncurrentAssets" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_NoncurrentAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_NoncurrentAssets" xlink:to="lab_ifrs-full_NoncurrentAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_AmountFundedIntoEntity_019fae60-c1ca-7382-891e-62632467c024_terseLabel_en-US" xlink:label="lab_lzm_AmountFundedIntoEntity" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Amount funded to entity</link:label>
    <link:label id="lab_lzm_AmountFundedIntoEntity_label_en-US" xlink:label="lab_lzm_AmountFundedIntoEntity" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Amount Funded Into Entity</link:label>
    <link:label id="lab_lzm_AmountFundedIntoEntity_documentation_en-US" xlink:label="lab_lzm_AmountFundedIntoEntity" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Amount Funded Into Entity</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_AmountFundedIntoEntity" xlink:href="lzm-20260930.xsd#lzm_AmountFundedIntoEntity"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_AmountFundedIntoEntity" xlink:to="lab_lzm_AmountFundedIntoEntity" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ClassesOfPropertyPlantAndEquipmentAxis_019fae60-c1ca-70c0-95cf-3ea4a1bf7ece_terseLabel_en-US" xlink:label="lab_ifrs-full_ClassesOfPropertyPlantAndEquipmentAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Classes of property, plant and equipment [axis]</link:label>
    <link:label id="lab_ifrs-full_ClassesOfPropertyPlantAndEquipmentAxis_label_en-US" xlink:label="lab_ifrs-full_ClassesOfPropertyPlantAndEquipmentAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Classes of property, plant and equipment [axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ClassesOfPropertyPlantAndEquipmentAxis" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ClassesOfPropertyPlantAndEquipmentAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ClassesOfPropertyPlantAndEquipmentAxis" xlink:to="lab_ifrs-full_ClassesOfPropertyPlantAndEquipmentAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_GainsLossesOnExchangeDifferencesOnTranslationRecognisedInProfitOrLoss_019fae60-c1ca-7f7f-b5bf-15be43b63250_terseLabel_en-US" xlink:label="lab_ifrs-full_GainsLossesOnExchangeDifferencesOnTranslationRecognisedInProfitOrLoss" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Gain on foreign exchange</link:label>
    <link:label id="lab_ifrs-full_GainsLossesOnExchangeDifferencesOnTranslationRecognisedInProfitOrLoss_019fae60-c1ca-7efb-8cbd-fa8c83a0ede0_verboseLabel_en-US" xlink:label="lab_ifrs-full_GainsLossesOnExchangeDifferencesOnTranslationRecognisedInProfitOrLoss" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Gain (loss) on foreign exchange</link:label>
    <link:label id="lab_ifrs-full_GainsLossesOnExchangeDifferencesOnTranslationRecognisedInProfitOrLoss_label_en-US" xlink:label="lab_ifrs-full_GainsLossesOnExchangeDifferencesOnTranslationRecognisedInProfitOrLoss" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Foreign exchange gain (loss)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_GainsLossesOnExchangeDifferencesOnTranslationRecognisedInProfitOrLoss" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_GainsLossesOnExchangeDifferencesOnTranslationRecognisedInProfitOrLoss"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_GainsLossesOnExchangeDifferencesOnTranslationRecognisedInProfitOrLoss" xlink:to="lab_ifrs-full_GainsLossesOnExchangeDifferencesOnTranslationRecognisedInProfitOrLoss" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ProceedsFromExerciseOfWarrants_019fae60-c1ca-7072-b95d-45180277bf16_terseLabel_en-US" xlink:label="lab_ifrs-full_ProceedsFromExerciseOfWarrants" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Proceeds from exercise of warrants</link:label>
    <link:label id="lab_ifrs-full_ProceedsFromExerciseOfWarrants_label_en-US" xlink:label="lab_ifrs-full_ProceedsFromExerciseOfWarrants" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Proceeds from exercise of warrants</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ProceedsFromExerciseOfWarrants" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ProceedsFromExerciseOfWarrants"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ProceedsFromExerciseOfWarrants" xlink:to="lab_ifrs-full_ProceedsFromExerciseOfWarrants" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ClassesOfPropertyPlantAndEquipmentDomain_019fae60-c133-7d34-a3bb-0c737298fe3b_terseLabel_en-US" xlink:label="lab_ifrs-full_ClassesOfPropertyPlantAndEquipmentDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Classes of property, plant and equipment [domain]</link:label>
    <link:label id="lab_ifrs-full_ClassesOfPropertyPlantAndEquipmentDomain_label_en-US" xlink:label="lab_ifrs-full_ClassesOfPropertyPlantAndEquipmentDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Classes of property, plant and equipment [domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ClassesOfPropertyPlantAndEquipmentDomain" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ClassesOfPropertyPlantAndEquipmentDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ClassesOfPropertyPlantAndEquipmentDomain" xlink:to="lab_ifrs-full_ClassesOfPropertyPlantAndEquipmentDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_DirectorsFeeMember_01a15b36-e3e9-75d5-b4e8-293d2ecc03f5_terseLabel_en-US" xlink:label="lab_lzm_DirectorsFeeMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Directors Fee</link:label>
    <link:label id="lab_lzm_DirectorsFeeMember_label_en-US" xlink:label="lab_lzm_DirectorsFeeMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Directors Fee [Member]</link:label>
    <link:label id="lab_lzm_DirectorsFeeMember_documentation_en-US" xlink:label="lab_lzm_DirectorsFeeMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Directors Fee</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_DirectorsFeeMember" xlink:href="lzm-20260930.xsd#lzm_DirectorsFeeMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_DirectorsFeeMember" xlink:to="lab_lzm_DirectorsFeeMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ActuarialAssumptionsDomain_019fae60-c253-79be-a24b-a61f28666a74_terseLabel_en-US" xlink:label="lab_ifrs-full_ActuarialAssumptionsDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Actuarial assumptions [domain]</link:label>
    <link:label id="lab_ifrs-full_ActuarialAssumptionsDomain_label_en-US" xlink:label="lab_ifrs-full_ActuarialAssumptionsDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Actuarial assumptions [domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ActuarialAssumptionsDomain" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ActuarialAssumptionsDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ActuarialAssumptionsDomain" xlink:to="lab_ifrs-full_ActuarialAssumptionsDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ReconciliationOfChangesInIntangibleAssetsOtherThanGoodwillAbstract_019fae60-c1ca-72ab-ab89-9a6fa63c4773_terseLabel_en-US" xlink:label="lab_ifrs-full_ReconciliationOfChangesInIntangibleAssetsOtherThanGoodwillAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Reconciliation of changes in intangible assets other than goodwill [abstract]</link:label>
    <link:label id="lab_ifrs-full_ReconciliationOfChangesInIntangibleAssetsOtherThanGoodwillAbstract_label_en-US" xlink:label="lab_ifrs-full_ReconciliationOfChangesInIntangibleAssetsOtherThanGoodwillAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Reconciliation of changes in intangible assets other than goodwill [abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ReconciliationOfChangesInIntangibleAssetsOtherThanGoodwillAbstract" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ReconciliationOfChangesInIntangibleAssetsOtherThanGoodwillAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ReconciliationOfChangesInIntangibleAssetsOtherThanGoodwillAbstract" xlink:to="lab_ifrs-full_ReconciliationOfChangesInIntangibleAssetsOtherThanGoodwillAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_MajorOrdinaryShareTransactionsMember_019fae60-c253-7980-87c9-dac12b9ca0ec_terseLabel_en-US" xlink:label="lab_ifrs-full_MajorOrdinaryShareTransactionsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Major ordinary share transactions</link:label>
    <link:label id="lab_ifrs-full_MajorOrdinaryShareTransactionsMember_label_en-US" xlink:label="lab_ifrs-full_MajorOrdinaryShareTransactionsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Major ordinary share transactions [member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_MajorOrdinaryShareTransactionsMember" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_MajorOrdinaryShareTransactionsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_MajorOrdinaryShareTransactionsMember" xlink:to="lab_ifrs-full_MajorOrdinaryShareTransactionsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_DirectOfferingOrdinarySharesMember_019fae60-c253-7810-b9fb-3c9836aeb31e_terseLabel_en-US" xlink:label="lab_lzm_DirectOfferingOrdinarySharesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Direct Offering, Ordinary Shares</link:label>
    <link:label id="lab_lzm_DirectOfferingOrdinarySharesMember_label_en-US" xlink:label="lab_lzm_DirectOfferingOrdinarySharesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Direct Offering, Ordinary Shares [Member]</link:label>
    <link:label id="lab_lzm_DirectOfferingOrdinarySharesMember_documentation_en-US" xlink:label="lab_lzm_DirectOfferingOrdinarySharesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Direct Offering, Ordinary Shares</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_DirectOfferingOrdinarySharesMember" xlink:href="lzm-20260930.xsd#lzm_DirectOfferingOrdinarySharesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_DirectOfferingOrdinarySharesMember" xlink:to="lab_lzm_DirectOfferingOrdinarySharesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_EffectOfExchangeRateChangesOnCashAndCashEquivalents_019fae60-c133-7526-af03-c20048155710_terseLabel_en-US" xlink:label="lab_ifrs-full_EffectOfExchangeRateChangesOnCashAndCashEquivalents" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Effect of exchange rate changes on cash &amp; cash equivalents</link:label>
    <link:label id="lab_ifrs-full_EffectOfExchangeRateChangesOnCashAndCashEquivalents_label_en-US" xlink:label="lab_ifrs-full_EffectOfExchangeRateChangesOnCashAndCashEquivalents" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Effect of exchange rate changes on cash and cash equivalents</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_EffectOfExchangeRateChangesOnCashAndCashEquivalents" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_EffectOfExchangeRateChangesOnCashAndCashEquivalents"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_EffectOfExchangeRateChangesOnCashAndCashEquivalents" xlink:to="lab_ifrs-full_EffectOfExchangeRateChangesOnCashAndCashEquivalents" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_InterestReceivedClassifiedAsInvestingActivities_019fae60-c1ca-762e-b4b0-f4f80d6ba83c_terseLabel_en-US" xlink:label="lab_ifrs-full_InterestReceivedClassifiedAsInvestingActivities" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest received from bank</link:label>
    <link:label id="lab_ifrs-full_InterestReceivedClassifiedAsInvestingActivities_label_en-US" xlink:label="lab_ifrs-full_InterestReceivedClassifiedAsInvestingActivities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest received, classified as investing activities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_InterestReceivedClassifiedAsInvestingActivities" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_InterestReceivedClassifiedAsInvestingActivities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_InterestReceivedClassifiedAsInvestingActivities" xlink:to="lab_ifrs-full_InterestReceivedClassifiedAsInvestingActivities" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_NumberOfTradingDays_019fae60-c133-7f80-850b-1b8133d9e1ab_terseLabel_en-US" xlink:label="lab_lzm_NumberOfTradingDays" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Number of trading days</link:label>
    <link:label id="lab_lzm_NumberOfTradingDays_label_en-US" xlink:label="lab_lzm_NumberOfTradingDays" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number Of Trading Days</link:label>
    <link:label id="lab_lzm_NumberOfTradingDays_documentation_en-US" xlink:label="lab_lzm_NumberOfTradingDays" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Number Of Trading Days</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_NumberOfTradingDays" xlink:href="lzm-20260930.xsd#lzm_NumberOfTradingDays"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_NumberOfTradingDays" xlink:to="lab_lzm_NumberOfTradingDays" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_TransportationMember_019fae60-c1ca-7dca-801a-5817a86e3be9_terseLabel_en-US" xlink:label="lab_lzm_TransportationMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Transportation equipment</link:label>
    <link:label id="lab_lzm_TransportationMember_label_en-US" xlink:label="lab_lzm_TransportationMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Transportation [Member]</link:label>
    <link:label id="lab_lzm_TransportationMember_documentation_en-US" xlink:label="lab_lzm_TransportationMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Transportation Equipments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_TransportationMember" xlink:href="lzm-20260930.xsd#lzm_TransportationMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_TransportationMember" xlink:to="lab_lzm_TransportationMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ExpectedLivesOtherEquityInstrumentsGranted_019fae60-c253-75ec-a537-cb8a01f95d83_terseLabel_en-US" xlink:label="lab_lzm_ExpectedLivesOtherEquityInstrumentsGranted" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Expected lives</link:label>
    <link:label id="lab_lzm_ExpectedLivesOtherEquityInstrumentsGranted_label_en-US" xlink:label="lab_lzm_ExpectedLivesOtherEquityInstrumentsGranted" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Expected Lives, Other Equity Instruments Granted</link:label>
    <link:label id="lab_lzm_ExpectedLivesOtherEquityInstrumentsGranted_documentation_en-US" xlink:label="lab_lzm_ExpectedLivesOtherEquityInstrumentsGranted" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Expected Lives, Other Equity Instruments Granted</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ExpectedLivesOtherEquityInstrumentsGranted" xlink:href="lzm-20260930.xsd#lzm_ExpectedLivesOtherEquityInstrumentsGranted"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ExpectedLivesOtherEquityInstrumentsGranted" xlink:to="lab_lzm_ExpectedLivesOtherEquityInstrumentsGranted" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_PercentageOfReasonablyPossibleIncreaseInActuarialAssumption_019fae60-c253-7112-a29b-b17c0f1a0cbc_terseLabel_en-US" xlink:label="lab_ifrs-full_PercentageOfReasonablyPossibleIncreaseInActuarialAssumption" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Percentage of reasonably possible increase in actuarial assumption</link:label>
    <link:label id="lab_ifrs-full_PercentageOfReasonablyPossibleIncreaseInActuarialAssumption_label_en-US" xlink:label="lab_ifrs-full_PercentageOfReasonablyPossibleIncreaseInActuarialAssumption" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Percentage of reasonably possible increase in actuarial assumption</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_PercentageOfReasonablyPossibleIncreaseInActuarialAssumption" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_PercentageOfReasonablyPossibleIncreaseInActuarialAssumption"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_PercentageOfReasonablyPossibleIncreaseInActuarialAssumption" xlink:to="lab_ifrs-full_PercentageOfReasonablyPossibleIncreaseInActuarialAssumption" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_CorporateAndGroupInformationAbstract_019fae60-c1ca-7ea1-a351-1ca6ca35fea5_terseLabel_en-US" xlink:label="lab_lzm_CorporateAndGroupInformationAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Corporate and Group Information [Abstract]</link:label>
    <link:label id="lab_lzm_CorporateAndGroupInformationAbstract_label_en-US" xlink:label="lab_lzm_CorporateAndGroupInformationAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Corporate and Group Information [Abstract]</link:label>
    <link:label id="lab_lzm_CorporateAndGroupInformationAbstract_documentation_en-US" xlink:label="lab_lzm_CorporateAndGroupInformationAbstract" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Corporate and Group Information [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_CorporateAndGroupInformationAbstract" xlink:href="lzm-20260930.xsd#lzm_CorporateAndGroupInformationAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_CorporateAndGroupInformationAbstract" xlink:to="lab_lzm_CorporateAndGroupInformationAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfFinancialInstrumentsTable_019fae60-c1ca-7f29-93eb-13d418dc1b07_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfFinancialInstrumentsTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Disclosure of detailed information about financial instruments [table]</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfFinancialInstrumentsTable_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfFinancialInstrumentsTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of detailed information about financial instruments [table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfFinancialInstrumentsTable" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfFinancialInstrumentsTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfFinancialInstrumentsTable" xlink:to="lab_ifrs-full_DisclosureOfFinancialInstrumentsTable" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_GeographicalAreasDomain_019fae60-c1ca-7906-ae31-b3127fafb676_terseLabel_en-US" xlink:label="lab_ifrs-full_GeographicalAreasDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Geographical areas [domain]</link:label>
    <link:label id="lab_ifrs-full_GeographicalAreasDomain_label_en-US" xlink:label="lab_ifrs-full_GeographicalAreasDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Geographical areas [domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_GeographicalAreasDomain" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_GeographicalAreasDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_GeographicalAreasDomain" xlink:to="lab_ifrs-full_GeographicalAreasDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_LifezoneMetalsLimitedMember_019fae60-c1ca-76c8-8e86-69e50433e696_terseLabel_en-US" xlink:label="lab_lzm_LifezoneMetalsLimitedMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Lifezone Metals</link:label>
    <link:label id="lab_lzm_LifezoneMetalsLimitedMember_label_en-US" xlink:label="lab_lzm_LifezoneMetalsLimitedMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Lifezone Metals Limited [Member]</link:label>
    <link:label id="lab_lzm_LifezoneMetalsLimitedMember_documentation_en-US" xlink:label="lab_lzm_LifezoneMetalsLimitedMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Lifezone Metals Limited</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_LifezoneMetalsLimitedMember" xlink:href="lzm-20260930.xsd#lzm_LifezoneMetalsLimitedMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_LifezoneMetalsLimitedMember" xlink:to="lab_lzm_LifezoneMetalsLimitedMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ThirtyDaysThroughOneYearMember_019fae60-c1ca-7f48-80a8-3069708828f6_terseLabel_en-US" xlink:label="lab_lzm_ThirtyDaysThroughOneYearMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Thirty days through one year</link:label>
    <link:label id="lab_lzm_ThirtyDaysThroughOneYearMember_label_en-US" xlink:label="lab_lzm_ThirtyDaysThroughOneYearMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Thirty Days Through One Year [Member]</link:label>
    <link:label id="lab_lzm_ThirtyDaysThroughOneYearMember_documentation_en-US" xlink:label="lab_lzm_ThirtyDaysThroughOneYearMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Thirty Days Through One Year</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ThirtyDaysThroughOneYearMember" xlink:href="lzm-20260930.xsd#lzm_ThirtyDaysThroughOneYearMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ThirtyDaysThroughOneYearMember" xlink:to="lab_lzm_ThirtyDaysThroughOneYearMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfRevenueExplanatory_019fae60-c253-7181-b540-c7e924d48315_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfRevenueExplanatory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Revenue</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfRevenueExplanatory_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfRevenueExplanatory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of revenue [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfRevenueExplanatory" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfRevenueExplanatory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfRevenueExplanatory" xlink:to="lab_ifrs-full_DisclosureOfRevenueExplanatory" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_TradeAndOtherCurrentReceivables_019fae60-c1ca-7e65-b5e2-907af6f8e6f3_terseLabel_en-US" xlink:label="lab_ifrs-full_TradeAndOtherCurrentReceivables" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Trade and other receivables</link:label>
    <link:label id="lab_ifrs-full_TradeAndOtherCurrentReceivables_label_en-US" xlink:label="lab_ifrs-full_TradeAndOtherCurrentReceivables" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Trade and other current receivables</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_TradeAndOtherCurrentReceivables" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_TradeAndOtherCurrentReceivables"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_TradeAndOtherCurrentReceivables" xlink:to="lab_ifrs-full_TradeAndOtherCurrentReceivables" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfFinancialRiskManagementExplanatory_019fae60-c1ca-7770-8c47-61a0e17ab9c8_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfFinancialRiskManagementExplanatory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Financial risk review</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfFinancialRiskManagementExplanatory_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfFinancialRiskManagementExplanatory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of financial risk management [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfFinancialRiskManagementExplanatory" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfFinancialRiskManagementExplanatory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfFinancialRiskManagementExplanatory" xlink:to="lab_ifrs-full_DisclosureOfFinancialRiskManagementExplanatory" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_NumberOfOtherShareholdersUnits_019fae60-c1ca-76f9-b997-faa87aadd652_terseLabel_en-US" xlink:label="lab_lzm_NumberOfOtherShareholdersUnits" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Number of units - other shareholders (in shares)</link:label>
    <link:label id="lab_lzm_NumberOfOtherShareholdersUnits_label_en-US" xlink:label="lab_lzm_NumberOfOtherShareholdersUnits" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number of Other Shareholders Units</link:label>
    <link:label id="lab_lzm_NumberOfOtherShareholdersUnits_documentation_en-US" xlink:label="lab_lzm_NumberOfOtherShareholdersUnits" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Number of Other Shareholders Units</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_NumberOfOtherShareholdersUnits" xlink:href="lzm-20260930.xsd#lzm_NumberOfOtherShareholdersUnits"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_NumberOfOtherShareholdersUnits" xlink:to="lab_lzm_NumberOfOtherShareholdersUnits" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_TransactionsCostsPertainingToThirdTranche_019fae60-c253-7625-9997-9061f91782c1_terseLabel_en-US" xlink:label="lab_lzm_TransactionsCostsPertainingToThirdTranche" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Transactions costs pertaining to third tranche</link:label>
    <link:label id="lab_lzm_TransactionsCostsPertainingToThirdTranche_label_en-US" xlink:label="lab_lzm_TransactionsCostsPertainingToThirdTranche" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Transactions Costs Pertaining To Third Tranche</link:label>
    <link:label id="lab_lzm_TransactionsCostsPertainingToThirdTranche_documentation_en-US" xlink:label="lab_lzm_TransactionsCostsPertainingToThirdTranche" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Transactions Costs Pertaining To Third Tranche</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_TransactionsCostsPertainingToThirdTranche" xlink:href="lzm-20260930.xsd#lzm_TransactionsCostsPertainingToThirdTranche"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_TransactionsCostsPertainingToThirdTranche" xlink:to="lab_lzm_TransactionsCostsPertainingToThirdTranche" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_WarrantReserve_019fae60-c133-71f6-9cd9-2f545609321b_verboseLabel_en-US" xlink:label="lab_ifrs-full_WarrantReserve" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Warrant reserves</link:label>
    <link:label id="lab_ifrs-full_WarrantReserve_label_en-US" xlink:label="lab_ifrs-full_WarrantReserve" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Warrant reserve</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_WarrantReserve" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_WarrantReserve"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_WarrantReserve" xlink:to="lab_ifrs-full_WarrantReserve" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfMaturityAnalysisOfOperatingLeasePaymentsTable_019fae60-c133-7dc4-a8c1-fdf69176f042_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfMaturityAnalysisOfOperatingLeasePaymentsTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Disclosure of maturity analysis of operating lease payments [table]</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfMaturityAnalysisOfOperatingLeasePaymentsTable_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfMaturityAnalysisOfOperatingLeasePaymentsTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of maturity analysis of operating lease payments [table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfMaturityAnalysisOfOperatingLeasePaymentsTable" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfMaturityAnalysisOfOperatingLeasePaymentsTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfMaturityAnalysisOfOperatingLeasePaymentsTable" xlink:to="lab_ifrs-full_DisclosureOfMaturityAnalysisOfOperatingLeasePaymentsTable" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ReferenceAmountSharePricePerformance_019fae60-c1ca-77b5-b0e3-5f5e32aa5c18_terseLabel_en-US" xlink:label="lab_lzm_ReferenceAmountSharePricePerformance" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Reference amount</link:label>
    <link:label id="lab_lzm_ReferenceAmountSharePricePerformance_label_en-US" xlink:label="lab_lzm_ReferenceAmountSharePricePerformance" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Reference Amount, Share Price Performance</link:label>
    <link:label id="lab_lzm_ReferenceAmountSharePricePerformance_documentation_en-US" xlink:label="lab_lzm_ReferenceAmountSharePricePerformance" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Reference Amount, Share Price Performance</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ReferenceAmountSharePricePerformance" xlink:href="lzm-20260930.xsd#lzm_ReferenceAmountSharePricePerformance"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ReferenceAmountSharePricePerformance" xlink:to="lab_lzm_ReferenceAmountSharePricePerformance" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfVoluntaryChangeInAccountingPolicyAbstract_019fae60-c1ca-7b18-9ae7-0ae7a3a0d7f2_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfVoluntaryChangeInAccountingPolicyAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Disclosure of voluntary change in accounting policy [abstract]</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfVoluntaryChangeInAccountingPolicyAbstract_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfVoluntaryChangeInAccountingPolicyAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of voluntary change in accounting policy [abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfVoluntaryChangeInAccountingPolicyAbstract" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfVoluntaryChangeInAccountingPolicyAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfVoluntaryChangeInAccountingPolicyAbstract" xlink:to="lab_ifrs-full_DisclosureOfVoluntaryChangeInAccountingPolicyAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_EquityAttributableToOwnersOfParentMember_019fae60-c133-7cab-8315-e9793646bc85_terseLabel_en-US" xlink:label="lab_ifrs-full_EquityAttributableToOwnersOfParentMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Total Shareholders&#8217; equity</link:label>
    <link:label id="lab_ifrs-full_EquityAttributableToOwnersOfParentMember_label_en-US" xlink:label="lab_ifrs-full_EquityAttributableToOwnersOfParentMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity attributable to owners of parent [member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_EquityAttributableToOwnersOfParentMember" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_EquityAttributableToOwnersOfParentMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_EquityAttributableToOwnersOfParentMember" xlink:to="lab_ifrs-full_EquityAttributableToOwnersOfParentMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_InterestIncomeOnCashAndBankBalancesAtCentralBanks_019fae60-c253-796f-b038-8c4305dde50f_terseLabel_en-US" xlink:label="lab_ifrs-full_InterestIncomeOnCashAndBankBalancesAtCentralBanks" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest income on cash and bank balances at central banks</link:label>
    <link:label id="lab_ifrs-full_InterestIncomeOnCashAndBankBalancesAtCentralBanks_label_en-US" xlink:label="lab_ifrs-full_InterestIncomeOnCashAndBankBalancesAtCentralBanks" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest income on cash and bank balances at central banks</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_InterestIncomeOnCashAndBankBalancesAtCentralBanks" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_InterestIncomeOnCashAndBankBalancesAtCentralBanks"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_InterestIncomeOnCashAndBankBalancesAtCentralBanks" xlink:to="lab_ifrs-full_InterestIncomeOnCashAndBankBalancesAtCentralBanks" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfFinancialAssetsExplanatory_019fae60-c133-7504-937c-f53f7f62bf95_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfFinancialAssetsExplanatory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Information about the Credit Risk Exposure of Lifezone&#8217;s Financial Assets</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfFinancialAssetsExplanatory_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfFinancialAssetsExplanatory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of financial assets [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfFinancialAssetsExplanatory" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfFinancialAssetsExplanatory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfFinancialAssetsExplanatory" xlink:to="lab_ifrs-full_DisclosureOfFinancialAssetsExplanatory" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_DescriptionOfInputsUsedInFairValueMeasurementVolatilityPeerGroupPercentage_019fae60-c1ca-75fd-a0fa-bc8cb64ee3d5_terseLabel_en-US" xlink:label="lab_lzm_DescriptionOfInputsUsedInFairValueMeasurementVolatilityPeerGroupPercentage" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Peer group percentage</link:label>
    <link:label id="lab_lzm_DescriptionOfInputsUsedInFairValueMeasurementVolatilityPeerGroupPercentage_label_en-US" xlink:label="lab_lzm_DescriptionOfInputsUsedInFairValueMeasurementVolatilityPeerGroupPercentage" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Description Of Inputs Used In Fair Value Measurement, Volatility, Peer Group Percentage</link:label>
    <link:label id="lab_lzm_DescriptionOfInputsUsedInFairValueMeasurementVolatilityPeerGroupPercentage_documentation_en-US" xlink:label="lab_lzm_DescriptionOfInputsUsedInFairValueMeasurementVolatilityPeerGroupPercentage" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Description Of Inputs Used In Fair Value Measurement, Volatility, Peer Group Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_DescriptionOfInputsUsedInFairValueMeasurementVolatilityPeerGroupPercentage" xlink:href="lzm-20260930.xsd#lzm_DescriptionOfInputsUsedInFairValueMeasurementVolatilityPeerGroupPercentage"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_DescriptionOfInputsUsedInFairValueMeasurementVolatilityPeerGroupPercentage" xlink:to="lab_lzm_DescriptionOfInputsUsedInFairValueMeasurementVolatilityPeerGroupPercentage" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_IncreaseDecreaseInDefinedBenefitObligationDueToReasonablyPossibleIncreaseInActuarialAssumption_019fae60-c253-78d8-a337-697f3e153dd7_negatedTerseLabel_en-US" xlink:label="lab_ifrs-full_IncreaseDecreaseInDefinedBenefitObligationDueToReasonablyPossibleIncreaseInActuarialAssumption" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Decrease in fair value with 1% increase in discount rate</link:label>
    <link:label id="lab_ifrs-full_IncreaseDecreaseInDefinedBenefitObligationDueToReasonablyPossibleIncreaseInActuarialAssumption_label_en-US" xlink:label="lab_ifrs-full_IncreaseDecreaseInDefinedBenefitObligationDueToReasonablyPossibleIncreaseInActuarialAssumption" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Increase (decrease) in defined benefit obligation due to reasonably possible increase in actuarial assumption</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_IncreaseDecreaseInDefinedBenefitObligationDueToReasonablyPossibleIncreaseInActuarialAssumption" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_IncreaseDecreaseInDefinedBenefitObligationDueToReasonablyPossibleIncreaseInActuarialAssumption"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_IncreaseDecreaseInDefinedBenefitObligationDueToReasonablyPossibleIncreaseInActuarialAssumption" xlink:to="lab_ifrs-full_IncreaseDecreaseInDefinedBenefitObligationDueToReasonablyPossibleIncreaseInActuarialAssumption" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_OneYearThroughTwoYearsMember_019fae60-c1ca-7c7a-a824-b81d52c9feec_terseLabel_en-US" xlink:label="lab_lzm_OneYearThroughTwoYearsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">One year through two years</link:label>
    <link:label id="lab_lzm_OneYearThroughTwoYearsMember_label_en-US" xlink:label="lab_lzm_OneYearThroughTwoYearsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">One Year Through Two Years [Member]</link:label>
    <link:label id="lab_lzm_OneYearThroughTwoYearsMember_documentation_en-US" xlink:label="lab_lzm_OneYearThroughTwoYearsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">One Year Through Two Years</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_OneYearThroughTwoYearsMember" xlink:href="lzm-20260930.xsd#lzm_OneYearThroughTwoYearsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_OneYearThroughTwoYearsMember" xlink:to="lab_lzm_OneYearThroughTwoYearsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_SecondDeferredCashPaymentMember_019fae60-c1ca-7930-bce8-ae27ebb28310_terseLabel_en-US" xlink:label="lab_lzm_SecondDeferredCashPaymentMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Second Deferred Cash Payment</link:label>
    <link:label id="lab_lzm_SecondDeferredCashPaymentMember_label_en-US" xlink:label="lab_lzm_SecondDeferredCashPaymentMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Second Deferred Cash Payment [Member]</link:label>
    <link:label id="lab_lzm_SecondDeferredCashPaymentMember_documentation_en-US" xlink:label="lab_lzm_SecondDeferredCashPaymentMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Second Deferred Cash Payment</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_SecondDeferredCashPaymentMember" xlink:href="lzm-20260930.xsd#lzm_SecondDeferredCashPaymentMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_SecondDeferredCashPaymentMember" xlink:to="lab_lzm_SecondDeferredCashPaymentMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ImpairmentOfDeposit_019fae60-c133-79fc-bac0-cae7c5ddc142_terseLabel_en-US" xlink:label="lab_lzm_ImpairmentOfDeposit" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Impairment of deposit</link:label>
    <link:label id="lab_lzm_ImpairmentOfDeposit_label_en-US" xlink:label="lab_lzm_ImpairmentOfDeposit" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Impairment Of Deposit</link:label>
    <link:label id="lab_lzm_ImpairmentOfDeposit_documentation_en-US" xlink:label="lab_lzm_ImpairmentOfDeposit" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Impairment Of Deposit</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ImpairmentOfDeposit" xlink:href="lzm-20260930.xsd#lzm_ImpairmentOfDeposit"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ImpairmentOfDeposit" xlink:to="lab_lzm_ImpairmentOfDeposit" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityCentralIndexKey_019fae60-c133-7160-b978-3bcb07d3ed24_terseLabel_en-US" xlink:label="lab_dei_EntityCentralIndexKey" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Entity Central Index Key</link:label>
    <link:label id="lab_dei_EntityCentralIndexKey_label_en-US" xlink:label="lab_dei_EntityCentralIndexKey" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Entity Central Index Key</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityCentralIndexKey"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityCentralIndexKey" xlink:to="lab_dei_EntityCentralIndexKey" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_MeasurementInputTypeDomain_019fae60-c253-7827-822b-d120a7c7acd7_terseLabel_en-US" xlink:label="lab_lzm_MeasurementInputTypeDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Measurement Input Type [Domain]</link:label>
    <link:label id="lab_lzm_MeasurementInputTypeDomain_label_en-US" xlink:label="lab_lzm_MeasurementInputTypeDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Measurement Input Type [Domain]</link:label>
    <link:label id="lab_lzm_MeasurementInputTypeDomain_documentation_en-US" xlink:label="lab_lzm_MeasurementInputTypeDomain" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Measurement Input Type [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_MeasurementInputTypeDomain" xlink:href="lzm-20260930.xsd#lzm_MeasurementInputTypeDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_MeasurementInputTypeDomain" xlink:to="lab_lzm_MeasurementInputTypeDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfCashAndCashEquivalentsExplanatory_019fae60-c133-72f5-9e3b-c725b75a8947_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfCashAndCashEquivalentsExplanatory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cash and cash equivalents</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfCashAndCashEquivalentsExplanatory_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfCashAndCashEquivalentsExplanatory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of cash and cash equivalents [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfCashAndCashEquivalentsExplanatory" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfCashAndCashEquivalentsExplanatory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfCashAndCashEquivalentsExplanatory" xlink:to="lab_ifrs-full_DisclosureOfCashAndCashEquivalentsExplanatory" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_NumberOfOutstandingShareOptions_019fae60-c253-7683-92a5-fb9e8c11feff_periodStartLabel_en-US" xlink:label="lab_ifrs-full_NumberOfOutstandingShareOptions" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:type="resource" xml:lang="en-US">Number of stock options outstanding, beginning of year (in shares)</link:label>
    <link:label id="lab_ifrs-full_NumberOfOutstandingShareOptions_019fae60-c253-7263-abc3-4922d88bf8c5_periodEndLabel_en-US" xlink:label="lab_ifrs-full_NumberOfOutstandingShareOptions" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:type="resource" xml:lang="en-US">Number of stock options outstanding, end of year (in shares)</link:label>
    <link:label id="lab_ifrs-full_NumberOfOutstandingShareOptions_label_en-US" xlink:label="lab_ifrs-full_NumberOfOutstandingShareOptions" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number of share options outstanding in share-based payment arrangement</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_NumberOfOutstandingShareOptions" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_NumberOfOutstandingShareOptions"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_NumberOfOutstandingShareOptions" xlink:to="lab_ifrs-full_NumberOfOutstandingShareOptions" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_NumberOfShareOptionsForfeitedInShareBasedPaymentArrangementNumberOfTranches_019fae60-c253-780c-bcad-281f8efc2d2d_terseLabel_en-US" xlink:label="lab_lzm_NumberOfShareOptionsForfeitedInShareBasedPaymentArrangementNumberOfTranches" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Number of tranches</link:label>
    <link:label id="lab_lzm_NumberOfShareOptionsForfeitedInShareBasedPaymentArrangementNumberOfTranches_label_en-US" xlink:label="lab_lzm_NumberOfShareOptionsForfeitedInShareBasedPaymentArrangementNumberOfTranches" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number Of Share Options Forfeited In Share-based Payment Arrangement, Number Of Tranches</link:label>
    <link:label id="lab_lzm_NumberOfShareOptionsForfeitedInShareBasedPaymentArrangementNumberOfTranches_documentation_en-US" xlink:label="lab_lzm_NumberOfShareOptionsForfeitedInShareBasedPaymentArrangementNumberOfTranches" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Number Of Share Options Forfeited In Share-based Payment Arrangement, Number Of Tranches</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_NumberOfShareOptionsForfeitedInShareBasedPaymentArrangementNumberOfTranches" xlink:href="lzm-20260930.xsd#lzm_NumberOfShareOptionsForfeitedInShareBasedPaymentArrangementNumberOfTranches"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_NumberOfShareOptionsForfeitedInShareBasedPaymentArrangementNumberOfTranches" xlink:to="lab_lzm_NumberOfShareOptionsForfeitedInShareBasedPaymentArrangementNumberOfTranches" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ProfessionalFeesExpense_019fae60-c133-7150-9f30-f2eb1aef3592_terseLabel_en-US" xlink:label="lab_ifrs-full_ProfessionalFeesExpense" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Professional fees</link:label>
    <link:label id="lab_ifrs-full_ProfessionalFeesExpense_label_en-US" xlink:label="lab_ifrs-full_ProfessionalFeesExpense" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Professional fees expense</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ProfessionalFeesExpense" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ProfessionalFeesExpense"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ProfessionalFeesExpense" xlink:to="lab_ifrs-full_ProfessionalFeesExpense" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_InterestExpenseOnDebtInstrumentsIssued_019fae60-c1ca-7010-afa3-d71378366caf_terseLabel_en-US" xlink:label="lab_ifrs-full_InterestExpenseOnDebtInstrumentsIssued" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debenture interest</link:label>
    <link:label id="lab_ifrs-full_InterestExpenseOnDebtInstrumentsIssued_label_en-US" xlink:label="lab_ifrs-full_InterestExpenseOnDebtInstrumentsIssued" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest expense on debt instruments issued</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_InterestExpenseOnDebtInstrumentsIssued" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_InterestExpenseOnDebtInstrumentsIssued"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_InterestExpenseOnDebtInstrumentsIssued" xlink:to="lab_ifrs-full_InterestExpenseOnDebtInstrumentsIssued" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ProfitLossAttributableToAbstract_019fae60-c1ca-7368-8213-62b43cafe2ce_terseLabel_en-US" xlink:label="lab_ifrs-full_ProfitLossAttributableToAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net (loss) income for the period:</link:label>
    <link:label id="lab_ifrs-full_ProfitLossAttributableToAbstract_label_en-US" xlink:label="lab_ifrs-full_ProfitLossAttributableToAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Profit (loss), attributable to [abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ProfitLossAttributableToAbstract" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ProfitLossAttributableToAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ProfitLossAttributableToAbstract" xlink:to="lab_ifrs-full_ProfitLossAttributableToAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_EquityAndLiabilitiesAbstract_019fae60-c253-7c9e-b9ab-d004af700de1_terseLabel_en-US" xlink:label="lab_ifrs-full_EquityAndLiabilitiesAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Equity and Liabilities</link:label>
    <link:label id="lab_ifrs-full_EquityAndLiabilitiesAbstract_label_en-US" xlink:label="lab_ifrs-full_EquityAndLiabilitiesAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity and liabilities [abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_EquityAndLiabilitiesAbstract" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_EquityAndLiabilitiesAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_EquityAndLiabilitiesAbstract" xlink:to="lab_ifrs-full_EquityAndLiabilitiesAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_InsuranceExpense_019fae60-c133-7f1f-afb4-df3589063e27_terseLabel_en-US" xlink:label="lab_ifrs-full_InsuranceExpense" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Insurance</link:label>
    <link:label id="lab_ifrs-full_InsuranceExpense_label_en-US" xlink:label="lab_ifrs-full_InsuranceExpense" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Insurance expense</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_InsuranceExpense" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_InsuranceExpense"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_InsuranceExpense" xlink:to="lab_ifrs-full_InsuranceExpense" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_InterestAndCommitmentFeePaidInCash_019fae60-c253-7474-9af9-8e78ee7cb807_negatedTerseLabel_en-US" xlink:label="lab_lzm_InterestAndCommitmentFeePaidInCash" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Interest and commitment fee paid in cash</link:label>
    <link:label id="lab_lzm_InterestAndCommitmentFeePaidInCash_label_en-US" xlink:label="lab_lzm_InterestAndCommitmentFeePaidInCash" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest And Commitment Fee Paid In Cash</link:label>
    <link:label id="lab_lzm_InterestAndCommitmentFeePaidInCash_documentation_en-US" xlink:label="lab_lzm_InterestAndCommitmentFeePaidInCash" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Interest And Commitment Fee Paid In Cash</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_InterestAndCommitmentFeePaidInCash" xlink:href="lzm-20260930.xsd#lzm_InterestAndCommitmentFeePaidInCash"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_InterestAndCommitmentFeePaidInCash" xlink:to="lab_lzm_InterestAndCommitmentFeePaidInCash" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ReconciliationOfChangesInPropertyPlantAndEquipmentAbstract_019fae60-c253-7a2f-aba4-8bd853c6671a_verboseLabel_en-US" xlink:label="lab_ifrs-full_ReconciliationOfChangesInPropertyPlantAndEquipmentAbstract" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Reconciliation of changes in property, plant and equipment [abstract]</link:label>
    <link:label id="lab_ifrs-full_ReconciliationOfChangesInPropertyPlantAndEquipmentAbstract_label_en-US" xlink:label="lab_ifrs-full_ReconciliationOfChangesInPropertyPlantAndEquipmentAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Reconciliation of changes in property, plant and equipment [abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ReconciliationOfChangesInPropertyPlantAndEquipmentAbstract" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ReconciliationOfChangesInPropertyPlantAndEquipmentAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ReconciliationOfChangesInPropertyPlantAndEquipmentAbstract" xlink:to="lab_ifrs-full_ReconciliationOfChangesInPropertyPlantAndEquipmentAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ScheduleOfProvisionsTableTextBlock_019fae60-c1ca-7499-8499-d372a27271fe_terseLabel_en-US" xlink:label="lab_lzm_ScheduleOfProvisionsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Provisions</link:label>
    <link:label id="lab_lzm_ScheduleOfProvisionsTableTextBlock_label_en-US" xlink:label="lab_lzm_ScheduleOfProvisionsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule Of Provisions [Table Text Block]</link:label>
    <link:label id="lab_lzm_ScheduleOfProvisionsTableTextBlock_documentation_en-US" xlink:label="lab_lzm_ScheduleOfProvisionsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Schedule Of Provisions</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ScheduleOfProvisionsTableTextBlock" xlink:href="lzm-20260930.xsd#lzm_ScheduleOfProvisionsTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ScheduleOfProvisionsTableTextBlock" xlink:to="lab_lzm_ScheduleOfProvisionsTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_InvestmentAdditionalFunding_01a15f15-43f7-7087-93da-ab7e39f3199b_terseLabel_en-US" xlink:label="lab_lzm_InvestmentAdditionalFunding" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Additional funding</link:label>
    <link:label id="lab_lzm_InvestmentAdditionalFunding_label_en-US" xlink:label="lab_lzm_InvestmentAdditionalFunding" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment, Additional Funding</link:label>
    <link:label id="lab_lzm_InvestmentAdditionalFunding_documentation_en-US" xlink:label="lab_lzm_InvestmentAdditionalFunding" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Investment, Additional Funding</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_InvestmentAdditionalFunding" xlink:href="lzm-20260930.xsd#lzm_InvestmentAdditionalFunding"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_InvestmentAdditionalFunding" xlink:to="lab_lzm_InvestmentAdditionalFunding" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_AdditionOfExplorationAndEvaluationAssets_019fae60-c133-7541-9e40-039f30896d9b_terseLabel_en-US" xlink:label="lab_lzm_AdditionOfExplorationAndEvaluationAssets" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Additions</link:label>
    <link:label id="lab_lzm_AdditionOfExplorationAndEvaluationAssets_label_en-US" xlink:label="lab_lzm_AdditionOfExplorationAndEvaluationAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Addition Of Exploration And Evaluation Assets</link:label>
    <link:label id="lab_lzm_AdditionOfExplorationAndEvaluationAssets_documentation_en-US" xlink:label="lab_lzm_AdditionOfExplorationAndEvaluationAssets" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Addition Of Exploration And Evaluation Assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_AdditionOfExplorationAndEvaluationAssets" xlink:href="lzm-20260930.xsd#lzm_AdditionOfExplorationAndEvaluationAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_AdditionOfExplorationAndEvaluationAssets" xlink:to="lab_lzm_AdditionOfExplorationAndEvaluationAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ClassesOfOrdinarySharesDomain_019fae60-c1ca-7f04-9c5d-ef05ad789e3c_terseLabel_en-US" xlink:label="lab_ifrs-full_ClassesOfOrdinarySharesDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Classes of ordinary shares [domain]</link:label>
    <link:label id="lab_ifrs-full_ClassesOfOrdinarySharesDomain_label_en-US" xlink:label="lab_ifrs-full_ClassesOfOrdinarySharesDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Classes of ordinary shares [domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ClassesOfOrdinarySharesDomain" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ClassesOfOrdinarySharesDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ClassesOfOrdinarySharesDomain" xlink:to="lab_ifrs-full_ClassesOfOrdinarySharesDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ProfitLossFromOperatingActivities_019fae60-c253-7c80-a06a-5311b0633162_totalLabel_en-US" xlink:label="lab_ifrs-full_ProfitLossFromOperatingActivities" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Operating loss</link:label>
    <link:label id="lab_ifrs-full_ProfitLossFromOperatingActivities_label_en-US" xlink:label="lab_ifrs-full_ProfitLossFromOperatingActivities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Profit (loss) from operating activities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ProfitLossFromOperatingActivities" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ProfitLossFromOperatingActivities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ProfitLossFromOperatingActivities" xlink:to="lab_ifrs-full_ProfitLossFromOperatingActivities" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_IncomeLossForTheInterimFinancialPeriod_019fae60-c133-7640-af23-05df9c9a13b9_terseLabel_en-US" xlink:label="lab_lzm_IncomeLossForTheInterimFinancialPeriod" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Total loss for the period</link:label>
    <link:label id="lab_lzm_IncomeLossForTheInterimFinancialPeriod_label_en-US" xlink:label="lab_lzm_IncomeLossForTheInterimFinancialPeriod" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Income (Loss) For The Interim Financial Period</link:label>
    <link:label id="lab_lzm_IncomeLossForTheInterimFinancialPeriod_documentation_en-US" xlink:label="lab_lzm_IncomeLossForTheInterimFinancialPeriod" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Income (Loss) For The Interim Financial Period</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_IncomeLossForTheInterimFinancialPeriod" xlink:href="lzm-20260930.xsd#lzm_IncomeLossForTheInterimFinancialPeriod"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_IncomeLossForTheInterimFinancialPeriod" xlink:to="lab_lzm_IncomeLossForTheInterimFinancialPeriod" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_NetDeferredTaxLiabilities_019fae60-c253-781e-9b06-e9614937577b_negatedTotalLabel_en-US" xlink:label="lab_ifrs-full_NetDeferredTaxLiabilities" xlink:role="http://www.xbrl.org/2009/role/negatedTotalLabel" xlink:type="resource" xml:lang="en-US">Net deferred tax liability</link:label>
    <link:label id="lab_ifrs-full_NetDeferredTaxLiabilities_label_en-US" xlink:label="lab_ifrs-full_NetDeferredTaxLiabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Net deferred tax liabilities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_NetDeferredTaxLiabilities" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_NetDeferredTaxLiabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_NetDeferredTaxLiabilities" xlink:to="lab_ifrs-full_NetDeferredTaxLiabilities" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfLeasesExplanatory_019fae60-c133-751e-a4d3-bd20c5a7b30a_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfLeasesExplanatory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Lease liabilities</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfLeasesExplanatory_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfLeasesExplanatory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of leases [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfLeasesExplanatory" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfLeasesExplanatory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfLeasesExplanatory" xlink:to="lab_ifrs-full_DisclosureOfLeasesExplanatory" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_DescriptionOfInputsUsedInFairValueMeasurementSharePrice_019fae60-c253-723d-9976-774661652d78_terseLabel_en-US" xlink:label="lab_lzm_DescriptionOfInputsUsedInFairValueMeasurementSharePrice" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Share price (in dollars per share)</link:label>
    <link:label id="lab_lzm_DescriptionOfInputsUsedInFairValueMeasurementSharePrice_label_en-US" xlink:label="lab_lzm_DescriptionOfInputsUsedInFairValueMeasurementSharePrice" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Description Of Inputs Used In Fair Value Measurement, Share Price</link:label>
    <link:label id="lab_lzm_DescriptionOfInputsUsedInFairValueMeasurementSharePrice_documentation_en-US" xlink:label="lab_lzm_DescriptionOfInputsUsedInFairValueMeasurementSharePrice" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Description Of Inputs Used In Fair Value Measurement, Share Price</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_DescriptionOfInputsUsedInFairValueMeasurementSharePrice" xlink:href="lzm-20260930.xsd#lzm_DescriptionOfInputsUsedInFairValueMeasurementSharePrice"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_DescriptionOfInputsUsedInFairValueMeasurementSharePrice" xlink:to="lab_lzm_DescriptionOfInputsUsedInFairValueMeasurementSharePrice" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_AdditionsOfDeferredConsideration_019fae60-c253-7eed-a25e-32bfc2d6f147_terseLabel_en-US" xlink:label="lab_lzm_AdditionsOfDeferredConsideration" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Additions</link:label>
    <link:label id="lab_lzm_AdditionsOfDeferredConsideration_label_en-US" xlink:label="lab_lzm_AdditionsOfDeferredConsideration" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Additions Of Deferred Consideration</link:label>
    <link:label id="lab_lzm_AdditionsOfDeferredConsideration_documentation_en-US" xlink:label="lab_lzm_AdditionsOfDeferredConsideration" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Additions Of Deferred Consideration</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_AdditionsOfDeferredConsideration" xlink:href="lzm-20260930.xsd#lzm_AdditionsOfDeferredConsideration"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_AdditionsOfDeferredConsideration" xlink:to="lab_lzm_AdditionsOfDeferredConsideration" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ConsolidatedStructuredEntitiesDomain_019fae60-c1ca-7fa7-82b5-6e650d39cd88_terseLabel_en-US" xlink:label="lab_ifrs-full_ConsolidatedStructuredEntitiesDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Consolidated structured entities [domain]</link:label>
    <link:label id="lab_ifrs-full_ConsolidatedStructuredEntitiesDomain_label_en-US" xlink:label="lab_ifrs-full_ConsolidatedStructuredEntitiesDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Consolidated structured entities [domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ConsolidatedStructuredEntitiesDomain" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ConsolidatedStructuredEntitiesDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ConsolidatedStructuredEntitiesDomain" xlink:to="lab_ifrs-full_ConsolidatedStructuredEntitiesDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfProvisionsExplanatory_019fae60-c1ca-7a76-954d-e7674068cc5a_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfProvisionsExplanatory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Provisions</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfProvisionsExplanatory_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfProvisionsExplanatory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of provisions [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfProvisionsExplanatory" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfProvisionsExplanatory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfProvisionsExplanatory" xlink:to="lab_ifrs-full_DisclosureOfProvisionsExplanatory" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_StatementOfCashFlowsAbstract_019fae60-c1ca-7e7b-aef1-dc30971b4107_terseLabel_en-US" xlink:label="lab_ifrs-full_StatementOfCashFlowsAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Statement of cash flows [abstract]</link:label>
    <link:label id="lab_ifrs-full_StatementOfCashFlowsAbstract_label_en-US" xlink:label="lab_ifrs-full_StatementOfCashFlowsAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Statement of cash flows [abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_StatementOfCashFlowsAbstract" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_StatementOfCashFlowsAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_StatementOfCashFlowsAbstract" xlink:to="lab_ifrs-full_StatementOfCashFlowsAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_EmergingGrowthCompanyStatusPolicyTextBlock_019fae60-c1ca-7eaf-96f9-3d1d871954ed_terseLabel_en-US" xlink:label="lab_lzm_EmergingGrowthCompanyStatusPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Emerging Growth Company status</link:label>
    <link:label id="lab_lzm_EmergingGrowthCompanyStatusPolicyTextBlock_label_en-US" xlink:label="lab_lzm_EmergingGrowthCompanyStatusPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Emerging Growth Company Status [Policy Text Block]</link:label>
    <link:label id="lab_lzm_EmergingGrowthCompanyStatusPolicyTextBlock_documentation_en-US" xlink:label="lab_lzm_EmergingGrowthCompanyStatusPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Emerging growth company status.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_EmergingGrowthCompanyStatusPolicyTextBlock" xlink:href="lzm-20260930.xsd#lzm_EmergingGrowthCompanyStatusPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_EmergingGrowthCompanyStatusPolicyTextBlock" xlink:to="lab_lzm_EmergingGrowthCompanyStatusPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DescriptionOfBasisOfAccountingForTransactionsBetweenReportableSegments_019fae60-c1ca-7fd8-a4d7-8dc96efbb5ba_terseLabel_en-US" xlink:label="lab_ifrs-full_DescriptionOfBasisOfAccountingForTransactionsBetweenReportableSegments" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Reportable segment</link:label>
    <link:label id="lab_ifrs-full_DescriptionOfBasisOfAccountingForTransactionsBetweenReportableSegments_label_en-US" xlink:label="lab_ifrs-full_DescriptionOfBasisOfAccountingForTransactionsBetweenReportableSegments" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Description of basis of accounting for transactions between reportable segments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DescriptionOfBasisOfAccountingForTransactionsBetweenReportableSegments" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DescriptionOfBasisOfAccountingForTransactionsBetweenReportableSegments"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DescriptionOfBasisOfAccountingForTransactionsBetweenReportableSegments" xlink:to="lab_ifrs-full_DescriptionOfBasisOfAccountingForTransactionsBetweenReportableSegments" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_NumberOfSponsorShareholdersUnits_019fae60-c133-748e-ba44-e5b25272158b_terseLabel_en-US" xlink:label="lab_lzm_NumberOfSponsorShareholdersUnits" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Number of units - Sponsor shareholders (in shares)</link:label>
    <link:label id="lab_lzm_NumberOfSponsorShareholdersUnits_label_en-US" xlink:label="lab_lzm_NumberOfSponsorShareholdersUnits" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number of Sponsor Shareholders Units</link:label>
    <link:label id="lab_lzm_NumberOfSponsorShareholdersUnits_documentation_en-US" xlink:label="lab_lzm_NumberOfSponsorShareholdersUnits" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Number of Sponsor Shareholders Units</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_NumberOfSponsorShareholdersUnits" xlink:href="lzm-20260930.xsd#lzm_NumberOfSponsorShareholdersUnits"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_NumberOfSponsorShareholdersUnits" xlink:to="lab_lzm_NumberOfSponsorShareholdersUnits" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_CurrentLiabilitiesAbstract_019fae60-c1ca-71f3-abe9-cc4cc3699ada_terseLabel_en-US" xlink:label="lab_ifrs-full_CurrentLiabilitiesAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Current liabilities</link:label>
    <link:label id="lab_ifrs-full_CurrentLiabilitiesAbstract_label_en-US" xlink:label="lab_ifrs-full_CurrentLiabilitiesAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Current liabilities [abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_CurrentLiabilitiesAbstract" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_CurrentLiabilitiesAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_CurrentLiabilitiesAbstract" xlink:to="lab_ifrs-full_CurrentLiabilitiesAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_NegativeTenPercentMember_019fae60-c253-735f-8ee0-5b50cf362839_terseLabel_en-US" xlink:label="lab_lzm_NegativeTenPercentMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">-10%</link:label>
    <link:label id="lab_lzm_NegativeTenPercentMember_label_en-US" xlink:label="lab_lzm_NegativeTenPercentMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Negative Ten Percent [Member]</link:label>
    <link:label id="lab_lzm_NegativeTenPercentMember_documentation_en-US" xlink:label="lab_lzm_NegativeTenPercentMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Negative Ten Percent</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_NegativeTenPercentMember" xlink:href="lzm-20260930.xsd#lzm_NegativeTenPercentMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_NegativeTenPercentMember" xlink:to="lab_lzm_NegativeTenPercentMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ScheduleOfWarrantsTableTextBlock_019fae60-c253-769a-975f-f79fc1a156a3_terseLabel_en-US" xlink:label="lab_lzm_ScheduleOfWarrantsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule Of Warrants</link:label>
    <link:label id="lab_lzm_ScheduleOfWarrantsTableTextBlock_label_en-US" xlink:label="lab_lzm_ScheduleOfWarrantsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule Of Warrants [Table Text Block]</link:label>
    <link:label id="lab_lzm_ScheduleOfWarrantsTableTextBlock_documentation_en-US" xlink:label="lab_lzm_ScheduleOfWarrantsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Schedule Of Warrants</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ScheduleOfWarrantsTableTextBlock" xlink:href="lzm-20260930.xsd#lzm_ScheduleOfWarrantsTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ScheduleOfWarrantsTableTextBlock" xlink:to="lab_lzm_ScheduleOfWarrantsTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_PrivatePlacementWarrantsMember_019fae60-c253-7a84-aac5-685251e9a781_terseLabel_en-US" xlink:label="lab_lzm_PrivatePlacementWarrantsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Private Placement Warrants</link:label>
    <link:label id="lab_lzm_PrivatePlacementWarrantsMember_label_en-US" xlink:label="lab_lzm_PrivatePlacementWarrantsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Private Placement Warrants [Member]</link:label>
    <link:label id="lab_lzm_PrivatePlacementWarrantsMember_documentation_en-US" xlink:label="lab_lzm_PrivatePlacementWarrantsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Private Placement Warrants</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_PrivatePlacementWarrantsMember" xlink:href="lzm-20260930.xsd#lzm_PrivatePlacementWarrantsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_PrivatePlacementWarrantsMember" xlink:to="lab_lzm_PrivatePlacementWarrantsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfTransactionsBetweenRelatedPartiesLineItems_019fae60-c1ca-7033-ad65-4c0b8229ae58_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfTransactionsBetweenRelatedPartiesLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Disclosure of transactions between related parties [line items]</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfTransactionsBetweenRelatedPartiesLineItems_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfTransactionsBetweenRelatedPartiesLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of transactions between related parties [line items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfTransactionsBetweenRelatedPartiesLineItems" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfTransactionsBetweenRelatedPartiesLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfTransactionsBetweenRelatedPartiesLineItems" xlink:to="lab_ifrs-full_DisclosureOfTransactionsBetweenRelatedPartiesLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_DilutiveImpactRelatedToConvertibleDebentures_019fae60-c133-73ea-8e2b-87dcd4a7a600_verboseLabel_en-US" xlink:label="lab_lzm_DilutiveImpactRelatedToConvertibleDebentures" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Less: Dilutive impact related to convertible debentures</link:label>
    <link:label id="lab_lzm_DilutiveImpactRelatedToConvertibleDebentures_label_en-US" xlink:label="lab_lzm_DilutiveImpactRelatedToConvertibleDebentures" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Dilutive Impact Related To Convertible Debentures</link:label>
    <link:label id="lab_lzm_DilutiveImpactRelatedToConvertibleDebentures_documentation_en-US" xlink:label="lab_lzm_DilutiveImpactRelatedToConvertibleDebentures" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Dilutive Impact Related To Convertible Debentures</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_DilutiveImpactRelatedToConvertibleDebentures" xlink:href="lzm-20260930.xsd#lzm_DilutiveImpactRelatedToConvertibleDebentures"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_DilutiveImpactRelatedToConvertibleDebentures" xlink:to="lab_lzm_DilutiveImpactRelatedToConvertibleDebentures" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_BalanceShareEarnoutUnits_019fae60-c133-78c1-9444-9fb50293ad0d_terseLabel_en-US" xlink:label="lab_lzm_BalanceShareEarnoutUnits" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Total number of units</link:label>
    <link:label id="lab_lzm_BalanceShareEarnoutUnits_019fae60-c133-7242-b32d-9114a0d19500_totalLabel_en-US" xlink:label="lab_lzm_BalanceShareEarnoutUnits" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Additional ordinary shares (in shares)</link:label>
    <link:label id="lab_lzm_BalanceShareEarnoutUnits_label_en-US" xlink:label="lab_lzm_BalanceShareEarnoutUnits" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Balance Share Earnout Units</link:label>
    <link:label id="lab_lzm_BalanceShareEarnoutUnits_documentation_en-US" xlink:label="lab_lzm_BalanceShareEarnoutUnits" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Balance share earnout.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_BalanceShareEarnoutUnits" xlink:href="lzm-20260930.xsd#lzm_BalanceShareEarnoutUnits"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_BalanceShareEarnoutUnits" xlink:to="lab_lzm_BalanceShareEarnoutUnits" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_PercentageOfReasonablyPossibleDecreaseInActuarialAssumption_019fae60-c253-78aa-b6c5-5a24e0e02133_terseLabel_en-US" xlink:label="lab_ifrs-full_PercentageOfReasonablyPossibleDecreaseInActuarialAssumption" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Percentage of reasonably possible decrease in actuarial assumption</link:label>
    <link:label id="lab_ifrs-full_PercentageOfReasonablyPossibleDecreaseInActuarialAssumption_label_en-US" xlink:label="lab_ifrs-full_PercentageOfReasonablyPossibleDecreaseInActuarialAssumption" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Percentage of reasonably possible decrease in actuarial assumption</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_PercentageOfReasonablyPossibleDecreaseInActuarialAssumption" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_PercentageOfReasonablyPossibleDecreaseInActuarialAssumption"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_PercentageOfReasonablyPossibleDecreaseInActuarialAssumption" xlink:to="lab_ifrs-full_PercentageOfReasonablyPossibleDecreaseInActuarialAssumption" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_AdjustmentsForDeferredTaxOfPriorPeriods_019fae60-c253-7941-b998-ae332c9060d1_terseLabel_en-US" xlink:label="lab_ifrs-full_AdjustmentsForDeferredTaxOfPriorPeriods" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Adjustment in respect of prior periods</link:label>
    <link:label id="lab_ifrs-full_AdjustmentsForDeferredTaxOfPriorPeriods_label_en-US" xlink:label="lab_ifrs-full_AdjustmentsForDeferredTaxOfPriorPeriods" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Adjustments for deferred tax of prior periods</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_AdjustmentsForDeferredTaxOfPriorPeriods" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_AdjustmentsForDeferredTaxOfPriorPeriods"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_AdjustmentsForDeferredTaxOfPriorPeriods" xlink:to="lab_ifrs-full_AdjustmentsForDeferredTaxOfPriorPeriods" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_Prepayments_019fae60-c1ca-7b19-b023-636671f1227c_terseLabel_en-US" xlink:label="lab_ifrs-full_Prepayments" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Prepayments</link:label>
    <link:label id="lab_ifrs-full_Prepayments_label_en-US" xlink:label="lab_ifrs-full_Prepayments" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Prepayments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_Prepayments" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_Prepayments"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_Prepayments" xlink:to="lab_ifrs-full_Prepayments" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ProceedsFromIssueOfOrdinaryShares_019fae60-c253-7fcc-8c0d-2b2f5ffe3d62_terseLabel_en-US" xlink:label="lab_ifrs-full_ProceedsFromIssueOfOrdinaryShares" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Proceeds of equity issuance</link:label>
    <link:label id="lab_ifrs-full_ProceedsFromIssueOfOrdinaryShares_label_en-US" xlink:label="lab_ifrs-full_ProceedsFromIssueOfOrdinaryShares" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Proceeds from issue of ordinary shares</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ProceedsFromIssueOfOrdinaryShares" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ProceedsFromIssueOfOrdinaryShares"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ProceedsFromIssueOfOrdinaryShares" xlink:to="lab_ifrs-full_ProceedsFromIssueOfOrdinaryShares" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ClassesOfContingentLiabilitiesDomain_019fae60-c1ca-7dcb-b4ce-ec91511a947c_terseLabel_en-US" xlink:label="lab_ifrs-full_ClassesOfContingentLiabilitiesDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Classes of contingent liabilities [domain]</link:label>
    <link:label id="lab_ifrs-full_ClassesOfContingentLiabilitiesDomain_label_en-US" xlink:label="lab_ifrs-full_ClassesOfContingentLiabilitiesDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Classes of contingent liabilities [domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ClassesOfContingentLiabilitiesDomain" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ClassesOfContingentLiabilitiesDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ClassesOfContingentLiabilitiesDomain" xlink:to="lab_ifrs-full_ClassesOfContingentLiabilitiesDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_country_AU_019fae60-c133-714b-ba37-5ba1abf4ea66_terseLabel_en-US" xlink:label="lab_country_AU" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Australia</link:label>
    <link:label id="lab_country_AU_label_en-US" xlink:label="lab_country_AU" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">AUSTRALIA</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_country_AU" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_AU"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_country_AU" xlink:to="lab_country_AU" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfOtherProvisionsLineItems_019fae60-c133-7bd9-8823-387a75e7f4a4_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfOtherProvisionsLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Disclosure of other provisions [line items]</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfOtherProvisionsLineItems_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfOtherProvisionsLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of other provisions [line items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfOtherProvisionsLineItems" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfOtherProvisionsLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfOtherProvisionsLineItems" xlink:to="lab_ifrs-full_DisclosureOfOtherProvisionsLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_DisclosureOfTradeAndOtherPayablesTableTextBlock_019fae60-c133-7aaa-9365-0158f2a87267_terseLabel_en-US" xlink:label="lab_lzm_DisclosureOfTradeAndOtherPayablesTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Trade and Other Payables</link:label>
    <link:label id="lab_lzm_DisclosureOfTradeAndOtherPayablesTableTextBlock_label_en-US" xlink:label="lab_lzm_DisclosureOfTradeAndOtherPayablesTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure Of Trade And Other Payables [Table Text Block]</link:label>
    <link:label id="lab_lzm_DisclosureOfTradeAndOtherPayablesTableTextBlock_documentation_en-US" xlink:label="lab_lzm_DisclosureOfTradeAndOtherPayablesTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">The disclosure of trade and other payables. [Refer: Trade and other payables]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_DisclosureOfTradeAndOtherPayablesTableTextBlock" xlink:href="lzm-20260930.xsd#lzm_DisclosureOfTradeAndOtherPayablesTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_DisclosureOfTradeAndOtherPayablesTableTextBlock" xlink:to="lab_lzm_DisclosureOfTradeAndOtherPayablesTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_MeasurementInputSharePriceMember_019fae60-c253-73a0-ba87-f1b94e7abdfb_terseLabel_en-US" xlink:label="lab_lzm_MeasurementInputSharePriceMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Measurement Input, Share Price</link:label>
    <link:label id="lab_lzm_MeasurementInputSharePriceMember_label_en-US" xlink:label="lab_lzm_MeasurementInputSharePriceMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Measurement Input, Share Price [Member]</link:label>
    <link:label id="lab_lzm_MeasurementInputSharePriceMember_documentation_en-US" xlink:label="lab_lzm_MeasurementInputSharePriceMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Measurement Input, Share Price</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_MeasurementInputSharePriceMember" xlink:href="lzm-20260930.xsd#lzm_MeasurementInputSharePriceMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_MeasurementInputSharePriceMember" xlink:to="lab_lzm_MeasurementInputSharePriceMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_AgreementGrantsExclusivityPeriod_019fae60-c253-75fd-bdb1-938beee4216c_terseLabel_en-US" xlink:label="lab_lzm_AgreementGrantsExclusivityPeriod" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Agreement grants exclusivity period</link:label>
    <link:label id="lab_lzm_AgreementGrantsExclusivityPeriod_label_en-US" xlink:label="lab_lzm_AgreementGrantsExclusivityPeriod" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Agreement Grants Exclusivity Period</link:label>
    <link:label id="lab_lzm_AgreementGrantsExclusivityPeriod_documentation_en-US" xlink:label="lab_lzm_AgreementGrantsExclusivityPeriod" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Agreement Grants Exclusivity Period</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_AgreementGrantsExclusivityPeriod" xlink:href="lzm-20260930.xsd#lzm_AgreementGrantsExclusivityPeriod"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_AgreementGrantsExclusivityPeriod" xlink:to="lab_lzm_AgreementGrantsExclusivityPeriod" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_AdjustmentsForInterestIncome_019fae60-c253-71d4-b221-f41dd4da2152_negatedLabel_en-US" xlink:label="lab_ifrs-full_AdjustmentsForInterestIncome" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Interest income</link:label>
    <link:label id="lab_ifrs-full_AdjustmentsForInterestIncome_label_en-US" xlink:label="lab_ifrs-full_AdjustmentsForInterestIncome" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Adjustments for interest income</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_AdjustmentsForInterestIncome" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_AdjustmentsForInterestIncome"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_AdjustmentsForInterestIncome" xlink:to="lab_ifrs-full_AdjustmentsForInterestIncome" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_UndiscountedOperatingLeasePaymentsToBeReceived_019fae60-c133-73e9-81fd-8c2ac21f04ce_terseLabel_en-US" xlink:label="lab_ifrs-full_UndiscountedOperatingLeasePaymentsToBeReceived" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Undiscounted future lease payments</link:label>
    <link:label id="lab_ifrs-full_UndiscountedOperatingLeasePaymentsToBeReceived_label_en-US" xlink:label="lab_ifrs-full_UndiscountedOperatingLeasePaymentsToBeReceived" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Undiscounted operating lease payments to be received</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_UndiscountedOperatingLeasePaymentsToBeReceived" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_UndiscountedOperatingLeasePaymentsToBeReceived"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_UndiscountedOperatingLeasePaymentsToBeReceived" xlink:to="lab_ifrs-full_UndiscountedOperatingLeasePaymentsToBeReceived" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_LeaseLiabilities_019fae60-c1ca-783a-ba7f-a6c1b2a21c3f_periodStartLabel_en-US" xlink:label="lab_ifrs-full_LeaseLiabilities" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:type="resource" xml:lang="en-US">Beginning balance</link:label>
    <link:label id="lab_ifrs-full_LeaseLiabilities_019fae60-c1ca-7fae-bea5-37416ca6491b_periodEndLabel_en-US" xlink:label="lab_ifrs-full_LeaseLiabilities" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:type="resource" xml:lang="en-US">Ending balance</link:label>
    <link:label id="lab_ifrs-full_LeaseLiabilities_019fae60-c1ca-7dbc-a880-a1721175a2cd_totalLabel_en-US" xlink:label="lab_ifrs-full_LeaseLiabilities" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total lease liabilities</link:label>
    <link:label id="lab_ifrs-full_LeaseLiabilities_label_en-US" xlink:label="lab_ifrs-full_LeaseLiabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Lease liabilities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_LeaseLiabilities" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_LeaseLiabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_LeaseLiabilities" xlink:to="lab_ifrs-full_LeaseLiabilities" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ShareOptionsWeightedAverageExercisePriceRollForward_019fae60-c253-7d89-9c83-219c17bedad4_terseLabel_en-US" xlink:label="lab_lzm_ShareOptionsWeightedAverageExercisePriceRollForward" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Weighted average exercise price</link:label>
    <link:label id="lab_lzm_ShareOptionsWeightedAverageExercisePriceRollForward_label_en-US" xlink:label="lab_lzm_ShareOptionsWeightedAverageExercisePriceRollForward" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Share Options, Weighted Average Exercise Price [Roll Forward]</link:label>
    <link:label id="lab_lzm_ShareOptionsWeightedAverageExercisePriceRollForward_documentation_en-US" xlink:label="lab_lzm_ShareOptionsWeightedAverageExercisePriceRollForward" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Share Options, Weighted Average Exercise Price</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ShareOptionsWeightedAverageExercisePriceRollForward" xlink:href="lzm-20260930.xsd#lzm_ShareOptionsWeightedAverageExercisePriceRollForward"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ShareOptionsWeightedAverageExercisePriceRollForward" xlink:to="lab_lzm_ShareOptionsWeightedAverageExercisePriceRollForward" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_LeaseReassessmentsPropertyPlantAndEquipmentIncludingRightOfUseAssets_019fae60-c133-79db-ac2a-b4da6d8f4f82_terseLabel_en-US" xlink:label="lab_lzm_LeaseReassessmentsPropertyPlantAndEquipmentIncludingRightOfUseAssets" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Lease reassessments</link:label>
    <link:label id="lab_lzm_LeaseReassessmentsPropertyPlantAndEquipmentIncludingRightOfUseAssets_label_en-US" xlink:label="lab_lzm_LeaseReassessmentsPropertyPlantAndEquipmentIncludingRightOfUseAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Lease Reassessments, Property, Plant And Equipment Including Right-of-Use Assets</link:label>
    <link:label id="lab_lzm_LeaseReassessmentsPropertyPlantAndEquipmentIncludingRightOfUseAssets_documentation_en-US" xlink:label="lab_lzm_LeaseReassessmentsPropertyPlantAndEquipmentIncludingRightOfUseAssets" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Lease Reassessments, Property, Plant And Equipment Including Right-of-Use Assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_LeaseReassessmentsPropertyPlantAndEquipmentIncludingRightOfUseAssets" xlink:href="lzm-20260930.xsd#lzm_LeaseReassessmentsPropertyPlantAndEquipmentIncludingRightOfUseAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_LeaseReassessmentsPropertyPlantAndEquipmentIncludingRightOfUseAssets" xlink:to="lab_lzm_LeaseReassessmentsPropertyPlantAndEquipmentIncludingRightOfUseAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_EarnoutSharePrice_019fae60-c1ca-7fc9-a74c-02604d745183_terseLabel_en-US" xlink:label="lab_lzm_EarnoutSharePrice" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Earnout share price (in dollars per share)</link:label>
    <link:label id="lab_lzm_EarnoutSharePrice_label_en-US" xlink:label="lab_lzm_EarnoutSharePrice" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Earnout Share Price</link:label>
    <link:label id="lab_lzm_EarnoutSharePrice_documentation_en-US" xlink:label="lab_lzm_EarnoutSharePrice" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Earnout Share Price</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_EarnoutSharePrice" xlink:href="lzm-20260930.xsd#lzm_EarnoutSharePrice"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_EarnoutSharePrice" xlink:to="lab_lzm_EarnoutSharePrice" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_DisclosureOfCashAndCashEquivalentsTableTextBlock_019fae60-c1ca-7be4-bae8-f1b6a0bb57e5_terseLabel_en-US" xlink:label="lab_lzm_DisclosureOfCashAndCashEquivalentsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Cash and Cash Equivalents</link:label>
    <link:label id="lab_lzm_DisclosureOfCashAndCashEquivalentsTableTextBlock_label_en-US" xlink:label="lab_lzm_DisclosureOfCashAndCashEquivalentsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure Of Cash And Cash Equivalents [Table Text Block]</link:label>
    <link:label id="lab_lzm_DisclosureOfCashAndCashEquivalentsTableTextBlock_documentation_en-US" xlink:label="lab_lzm_DisclosureOfCashAndCashEquivalentsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Disclosure of cash and cash equivalents.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_DisclosureOfCashAndCashEquivalentsTableTextBlock" xlink:href="lzm-20260930.xsd#lzm_DisclosureOfCashAndCashEquivalentsTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_DisclosureOfCashAndCashEquivalentsTableTextBlock" xlink:to="lab_lzm_DisclosureOfCashAndCashEquivalentsTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_InterestIncomeOnDeposits_019fae60-c1ca-7081-8c6e-998119bfb0de_terseLabel_en-US" xlink:label="lab_ifrs-full_InterestIncomeOnDeposits" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest on bank deposits</link:label>
    <link:label id="lab_ifrs-full_InterestIncomeOnDeposits_label_en-US" xlink:label="lab_ifrs-full_InterestIncomeOnDeposits" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest income on deposits</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_InterestIncomeOnDeposits" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_InterestIncomeOnDeposits"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_InterestIncomeOnDeposits" xlink:to="lab_ifrs-full_InterestIncomeOnDeposits" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_NumberOfOtherEquityInstrumentsVestedInShareBasedPaymentArrangement_01a15f1a-8c04-74fa-a79a-c111c4560e82_terseLabel_en-US" xlink:label="lab_lzm_NumberOfOtherEquityInstrumentsVestedInShareBasedPaymentArrangement" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Number of shares vested (in shares)</link:label>
    <link:label id="lab_lzm_NumberOfOtherEquityInstrumentsVestedInShareBasedPaymentArrangement_label_en-US" xlink:label="lab_lzm_NumberOfOtherEquityInstrumentsVestedInShareBasedPaymentArrangement" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number of other equity instruments vested in share-based payment arrangement</link:label>
    <link:label id="lab_lzm_NumberOfOtherEquityInstrumentsVestedInShareBasedPaymentArrangement_documentation_en-US" xlink:label="lab_lzm_NumberOfOtherEquityInstrumentsVestedInShareBasedPaymentArrangement" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Number of other equity instruments vested in share-based payment arrangement</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_NumberOfOtherEquityInstrumentsVestedInShareBasedPaymentArrangement" xlink:href="lzm-20260930.xsd#lzm_NumberOfOtherEquityInstrumentsVestedInShareBasedPaymentArrangement"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_NumberOfOtherEquityInstrumentsVestedInShareBasedPaymentArrangement" xlink:to="lab_lzm_NumberOfOtherEquityInstrumentsVestedInShareBasedPaymentArrangement" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_DeferredTaxLiabilityShortTermTimingDifferences_019fae60-c253-7d8d-98d6-4e429de79d92_terseLabel_en-US" xlink:label="lab_lzm_DeferredTaxLiabilityShortTermTimingDifferences" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Short term timing differences</link:label>
    <link:label id="lab_lzm_DeferredTaxLiabilityShortTermTimingDifferences_label_en-US" xlink:label="lab_lzm_DeferredTaxLiabilityShortTermTimingDifferences" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Deferred Tax Liability, Short Term Timing Differences</link:label>
    <link:label id="lab_lzm_DeferredTaxLiabilityShortTermTimingDifferences_documentation_en-US" xlink:label="lab_lzm_DeferredTaxLiabilityShortTermTimingDifferences" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Deferred Tax Liability, Short Term Timing Differences</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_DeferredTaxLiabilityShortTermTimingDifferences" xlink:href="lzm-20260930.xsd#lzm_DeferredTaxLiabilityShortTermTimingDifferences"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_DeferredTaxLiabilityShortTermTimingDifferences" xlink:to="lab_lzm_DeferredTaxLiabilityShortTermTimingDifferences" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_IssuedCapital_019fae60-c133-7345-bff2-94bb440046c0_verboseLabel_en-US" xlink:label="lab_ifrs-full_IssuedCapital" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Share capital</link:label>
    <link:label id="lab_ifrs-full_IssuedCapital_label_en-US" xlink:label="lab_ifrs-full_IssuedCapital" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Issued capital</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_IssuedCapital" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_IssuedCapital"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_IssuedCapital" xlink:to="lab_ifrs-full_IssuedCapital" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_AccretionOfIssuanceCost_019fae60-c133-798b-8ce7-d4c2923af1e2_terseLabel_en-US" xlink:label="lab_lzm_AccretionOfIssuanceCost" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest paid in cash</link:label>
    <link:label id="lab_lzm_AccretionOfIssuanceCost_label_en-US" xlink:label="lab_lzm_AccretionOfIssuanceCost" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Accretion Of Issuance Cost</link:label>
    <link:label id="lab_lzm_AccretionOfIssuanceCost_documentation_en-US" xlink:label="lab_lzm_AccretionOfIssuanceCost" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Accretion of issuance cost.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_AccretionOfIssuanceCost" xlink:href="lzm-20260930.xsd#lzm_AccretionOfIssuanceCost"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_AccretionOfIssuanceCost" xlink:to="lab_lzm_AccretionOfIssuanceCost" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_UnusedTaxLossesForWhichNoDeferredTaxAssetRecognised_019fae60-c1ca-7c7f-981e-d620cd97283e_terseLabel_en-US" xlink:label="lab_ifrs-full_UnusedTaxLossesForWhichNoDeferredTaxAssetRecognised" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Pre-trading tax losses</link:label>
    <link:label id="lab_ifrs-full_UnusedTaxLossesForWhichNoDeferredTaxAssetRecognised_label_en-US" xlink:label="lab_ifrs-full_UnusedTaxLossesForWhichNoDeferredTaxAssetRecognised" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Unused tax losses for which no deferred tax asset recognised</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_UnusedTaxLossesForWhichNoDeferredTaxAssetRecognised" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_UnusedTaxLossesForWhichNoDeferredTaxAssetRecognised"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_UnusedTaxLossesForWhichNoDeferredTaxAssetRecognised" xlink:to="lab_ifrs-full_UnusedTaxLossesForWhichNoDeferredTaxAssetRecognised" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ShareOptionsSharesRollForward_019fae60-c1ca-7902-8ef3-b7df27dbe165_terseLabel_en-US" xlink:label="lab_lzm_ShareOptionsSharesRollForward" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Stock Options</link:label>
    <link:label id="lab_lzm_ShareOptionsSharesRollForward_label_en-US" xlink:label="lab_lzm_ShareOptionsSharesRollForward" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Share Options, Shares [Roll Forward]</link:label>
    <link:label id="lab_lzm_ShareOptionsSharesRollForward_documentation_en-US" xlink:label="lab_lzm_ShareOptionsSharesRollForward" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Share Options, Shares</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ShareOptionsSharesRollForward" xlink:href="lzm-20260930.xsd#lzm_ShareOptionsSharesRollForward"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ShareOptionsSharesRollForward" xlink:to="lab_lzm_ShareOptionsSharesRollForward" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_IncreaseDecreaseThroughExerciseOfOptions_019fae60-c253-7859-b4d3-e0e4439325b4_terseLabel_en-US" xlink:label="lab_ifrs-full_IncreaseDecreaseThroughExerciseOfOptions" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Issuance of shares on exercise of stock options</link:label>
    <link:label id="lab_ifrs-full_IncreaseDecreaseThroughExerciseOfOptions_label_en-US" xlink:label="lab_ifrs-full_IncreaseDecreaseThroughExerciseOfOptions" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Increase (decrease) through exercise of options, equity</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_IncreaseDecreaseThroughExerciseOfOptions" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_IncreaseDecreaseThroughExerciseOfOptions"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_IncreaseDecreaseThroughExerciseOfOptions" xlink:to="lab_ifrs-full_IncreaseDecreaseThroughExerciseOfOptions" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_CategoriesOfFinancialAssetsAxis_019fae60-c1ca-708d-b82c-f7e2e5a1a412_terseLabel_en-US" xlink:label="lab_ifrs-full_CategoriesOfFinancialAssetsAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Categories of financial assets [axis]</link:label>
    <link:label id="lab_ifrs-full_CategoriesOfFinancialAssetsAxis_label_en-US" xlink:label="lab_ifrs-full_CategoriesOfFinancialAssetsAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Categories of financial assets [axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_CategoriesOfFinancialAssetsAxis" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_CategoriesOfFinancialAssetsAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_CategoriesOfFinancialAssetsAxis" xlink:to="lab_ifrs-full_CategoriesOfFinancialAssetsAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ExercisePriceShareOptionsGranted2019_019fae60-c253-76bd-bbba-c07d69108feb_terseLabel_en-US" xlink:label="lab_ifrs-full_ExercisePriceShareOptionsGranted2019" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Exercise price, share options granted (in dollars per share)</link:label>
    <link:label id="lab_ifrs-full_ExercisePriceShareOptionsGranted2019_label_en-US" xlink:label="lab_ifrs-full_ExercisePriceShareOptionsGranted2019" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Exercise price, share options granted</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ExercisePriceShareOptionsGranted2019" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ExercisePriceShareOptionsGranted2019"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ExercisePriceShareOptionsGranted2019" xlink:to="lab_ifrs-full_ExercisePriceShareOptionsGranted2019" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_DeferredFinancingCostsSetOffAgainstDebt_019fae60-c253-72f6-b385-15783f678fc7_terseLabel_en-US" xlink:label="lab_lzm_DeferredFinancingCostsSetOffAgainstDebt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Deferred financing costs set off against debt</link:label>
    <link:label id="lab_lzm_DeferredFinancingCostsSetOffAgainstDebt_label_en-US" xlink:label="lab_lzm_DeferredFinancingCostsSetOffAgainstDebt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Deferred Financing Costs Set Off Against Debt</link:label>
    <link:label id="lab_lzm_DeferredFinancingCostsSetOffAgainstDebt_documentation_en-US" xlink:label="lab_lzm_DeferredFinancingCostsSetOffAgainstDebt" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Deferred Financing Costs Set Off Against Debt</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_DeferredFinancingCostsSetOffAgainstDebt" xlink:href="lzm-20260930.xsd#lzm_DeferredFinancingCostsSetOffAgainstDebt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_DeferredFinancingCostsSetOffAgainstDebt" xlink:to="lab_lzm_DeferredFinancingCostsSetOffAgainstDebt" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_NumberOfSharesOutstanding_019fae60-c1ca-7131-9dcc-ddc749135858_terseLabel_en-US" xlink:label="lab_ifrs-full_NumberOfSharesOutstanding" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Shares outstanding (in Shares)</link:label>
    <link:label id="lab_ifrs-full_NumberOfSharesOutstanding_019fae60-c1ca-750e-9088-d0bcb2032fbd_periodStartLabel_en-US" xlink:label="lab_ifrs-full_NumberOfSharesOutstanding" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:type="resource" xml:lang="en-US">Beginning balance (in shares)</link:label>
    <link:label id="lab_ifrs-full_NumberOfSharesOutstanding_019fae60-c1ca-71d5-b2bf-eca6475a6c8a_periodEndLabel_en-US" xlink:label="lab_ifrs-full_NumberOfSharesOutstanding" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:type="resource" xml:lang="en-US">Ending balance (in shares)</link:label>
    <link:label id="lab_ifrs-full_NumberOfSharesOutstanding_label_en-US" xlink:label="lab_ifrs-full_NumberOfSharesOutstanding" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number of shares outstanding</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_NumberOfSharesOutstanding" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_NumberOfSharesOutstanding"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_NumberOfSharesOutstanding" xlink:to="lab_ifrs-full_NumberOfSharesOutstanding" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_InterestExpensesAbstract_019fae60-c1ca-7352-864b-5660d4a4d951_terseLabel_en-US" xlink:label="lab_lzm_InterestExpensesAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest Expense [Abstract]</link:label>
    <link:label id="lab_lzm_InterestExpensesAbstract_label_en-US" xlink:label="lab_lzm_InterestExpensesAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest Expense [Abstract]</link:label>
    <link:label id="lab_lzm_InterestExpensesAbstract_documentation_en-US" xlink:label="lab_lzm_InterestExpensesAbstract" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Interest Expense [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_InterestExpensesAbstract" xlink:href="lzm-20260930.xsd#lzm_InterestExpensesAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_InterestExpensesAbstract" xlink:to="lab_lzm_InterestExpensesAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfReservesWithinEquityLineItems_019fae60-c1ca-7d0a-85e2-6cbc755e9fcb_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfReservesWithinEquityLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Disclosure of reserves within equity [line items]</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfReservesWithinEquityLineItems_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfReservesWithinEquityLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of reserves within equity [line items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfReservesWithinEquityLineItems" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfReservesWithinEquityLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfReservesWithinEquityLineItems" xlink:to="lab_ifrs-full_DisclosureOfReservesWithinEquityLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_IncomeTaxExpenseContinuingOperations_019fae60-c1ca-7b4c-8e27-035cf087b551_terseLabel_en-US" xlink:label="lab_ifrs-full_IncomeTaxExpenseContinuingOperations" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Deferred tax income</link:label>
    <link:label id="lab_ifrs-full_IncomeTaxExpenseContinuingOperations_019fae60-c1ca-78f5-acc3-fda1d6d120a5_negatedLabel_en-US" xlink:label="lab_ifrs-full_IncomeTaxExpenseContinuingOperations" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Income tax</link:label>
    <link:label id="lab_ifrs-full_IncomeTaxExpenseContinuingOperations_019fae60-c1ca-7070-9b79-0e25804e07a3_totalLabel_en-US" xlink:label="lab_ifrs-full_IncomeTaxExpenseContinuingOperations" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total income tax credit</link:label>
    <link:label id="lab_ifrs-full_IncomeTaxExpenseContinuingOperations_label_en-US" xlink:label="lab_ifrs-full_IncomeTaxExpenseContinuingOperations" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Tax expense (income)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_IncomeTaxExpenseContinuingOperations" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_IncomeTaxExpenseContinuingOperations"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_IncomeTaxExpenseContinuingOperations" xlink:to="lab_ifrs-full_IncomeTaxExpenseContinuingOperations" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_SignificantUnobservableInputLiabilities_019fae60-c253-7986-873d-33e1dcc69ca6_terseLabel_en-US" xlink:label="lab_ifrs-full_SignificantUnobservableInputLiabilities" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Significant unobservable input, liabilities</link:label>
    <link:label id="lab_ifrs-full_SignificantUnobservableInputLiabilities_label_en-US" xlink:label="lab_ifrs-full_SignificantUnobservableInputLiabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Significant unobservable input, liabilities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_SignificantUnobservableInputLiabilities" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_SignificantUnobservableInputLiabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_SignificantUnobservableInputLiabilities" xlink:to="lab_ifrs-full_SignificantUnobservableInputLiabilities" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfCashFlowStatementExplanatory_019fae60-c1ca-7ef5-8e00-adfd5cd62fae_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfCashFlowStatementExplanatory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Supplementary cashflow information</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfCashFlowStatementExplanatory_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfCashFlowStatementExplanatory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of cash flow statement [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfCashFlowStatementExplanatory" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfCashFlowStatementExplanatory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfCashFlowStatementExplanatory" xlink:to="lab_ifrs-full_DisclosureOfCashFlowStatementExplanatory" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfEventsAfterReportingPeriodExplanatory_019fae60-c1ca-7fc0-bc84-bb7cf517430c_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfEventsAfterReportingPeriodExplanatory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Subsequent events</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfEventsAfterReportingPeriodExplanatory_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfEventsAfterReportingPeriodExplanatory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of events after reporting period [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfEventsAfterReportingPeriodExplanatory" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfEventsAfterReportingPeriodExplanatory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfEventsAfterReportingPeriodExplanatory" xlink:to="lab_ifrs-full_DisclosureOfEventsAfterReportingPeriodExplanatory" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfMaturityAnalysisOfOperatingLeasePaymentsLineItems_019fae60-c1ca-7fb1-a75a-fcfc80ee2d98_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfMaturityAnalysisOfOperatingLeasePaymentsLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Disclosure of maturity analysis of operating lease payments [line items]</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfMaturityAnalysisOfOperatingLeasePaymentsLineItems_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfMaturityAnalysisOfOperatingLeasePaymentsLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of maturity analysis of operating lease payments [line items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfMaturityAnalysisOfOperatingLeasePaymentsLineItems" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfMaturityAnalysisOfOperatingLeasePaymentsLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfMaturityAnalysisOfOperatingLeasePaymentsLineItems" xlink:to="lab_ifrs-full_DisclosureOfMaturityAnalysisOfOperatingLeasePaymentsLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DilutiveEffectOfOtherInstrumentsOnWeightedAverageNumberOfOrdinaryShares_019fae60-c253-7e9f-bcf2-a7cc3b2fffc0_terseLabel_en-US" xlink:label="lab_ifrs-full_DilutiveEffectOfOtherInstrumentsOnWeightedAverageNumberOfOrdinaryShares" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Earnout units (in shares)</link:label>
    <link:label id="lab_ifrs-full_DilutiveEffectOfOtherInstrumentsOnWeightedAverageNumberOfOrdinaryShares_label_en-US" xlink:label="lab_ifrs-full_DilutiveEffectOfOtherInstrumentsOnWeightedAverageNumberOfOrdinaryShares" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Dilutive effect of other instruments on weighted average number of ordinary shares</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DilutiveEffectOfOtherInstrumentsOnWeightedAverageNumberOfOrdinaryShares" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DilutiveEffectOfOtherInstrumentsOnWeightedAverageNumberOfOrdinaryShares"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DilutiveEffectOfOtherInstrumentsOnWeightedAverageNumberOfOrdinaryShares" xlink:to="lab_ifrs-full_DilutiveEffectOfOtherInstrumentsOnWeightedAverageNumberOfOrdinaryShares" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_DelayedCasePeriod_019fae60-c253-7f10-89fb-e2251781042e_terseLabel_en-US" xlink:label="lab_lzm_DelayedCasePeriod" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Delayed case period</link:label>
    <link:label id="lab_lzm_DelayedCasePeriod_label_en-US" xlink:label="lab_lzm_DelayedCasePeriod" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Delayed Case Period</link:label>
    <link:label id="lab_lzm_DelayedCasePeriod_documentation_en-US" xlink:label="lab_lzm_DelayedCasePeriod" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Delayed Case Period</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_DelayedCasePeriod" xlink:href="lzm-20260930.xsd#lzm_DelayedCasePeriod"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_DelayedCasePeriod" xlink:to="lab_lzm_DelayedCasePeriod" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_TradeAndOtherReceivables_019fae60-c1ca-7dd3-8089-6ea909e13c86_totalLabel_en-US" xlink:label="lab_ifrs-full_TradeAndOtherReceivables" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total</link:label>
    <link:label id="lab_ifrs-full_TradeAndOtherReceivables_label_en-US" xlink:label="lab_ifrs-full_TradeAndOtherReceivables" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Trade and other receivables</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_TradeAndOtherReceivables" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_TradeAndOtherReceivables"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_TradeAndOtherReceivables" xlink:to="lab_ifrs-full_TradeAndOtherReceivables" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_CashFlowsFromUsedInOperatingActivitiesAbstract_019fae60-c133-7ffb-ab05-cf4fd5e5b238_terseLabel_en-US" xlink:label="lab_ifrs-full_CashFlowsFromUsedInOperatingActivitiesAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cash flows from operating activities</link:label>
    <link:label id="lab_ifrs-full_CashFlowsFromUsedInOperatingActivitiesAbstract_label_en-US" xlink:label="lab_ifrs-full_CashFlowsFromUsedInOperatingActivitiesAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash flows from (used in) operating activities [abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_CashFlowsFromUsedInOperatingActivitiesAbstract" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_CashFlowsFromUsedInOperatingActivitiesAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_CashFlowsFromUsedInOperatingActivitiesAbstract" xlink:to="lab_ifrs-full_CashFlowsFromUsedInOperatingActivitiesAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_CashAndBankBalancesAtCentralBanks_019fae60-c1ca-76ad-b735-66be0d31da30_terseLabel_en-US" xlink:label="lab_ifrs-full_CashAndBankBalancesAtCentralBanks" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cash and bank balances at central banks</link:label>
    <link:label id="lab_ifrs-full_CashAndBankBalancesAtCentralBanks_label_en-US" xlink:label="lab_ifrs-full_CashAndBankBalancesAtCentralBanks" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash and bank balances at central banks</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_CashAndBankBalancesAtCentralBanks" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_CashAndBankBalancesAtCentralBanks"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_CashAndBankBalancesAtCentralBanks" xlink:to="lab_ifrs-full_CashAndBankBalancesAtCentralBanks" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_DocumentPeriodEndDate_019fae60-c1ca-76cc-9781-8c469d4df70a_terseLabel_en-US" xlink:label="lab_dei_DocumentPeriodEndDate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Document Period End Date</link:label>
    <link:label id="lab_dei_DocumentPeriodEndDate_label_en-US" xlink:label="lab_dei_DocumentPeriodEndDate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Document Period End Date</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_DocumentPeriodEndDate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_DocumentPeriodEndDate" xlink:to="lab_dei_DocumentPeriodEndDate" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_NonadjustingEventsAfterReportingPeriodDomain_019fae60-c1ca-7c15-a863-bac5fc422dc9_terseLabel_en-US" xlink:label="lab_ifrs-full_NonadjustingEventsAfterReportingPeriodDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Non-adjusting events after reporting period [domain]</link:label>
    <link:label id="lab_ifrs-full_NonadjustingEventsAfterReportingPeriodDomain_label_en-US" xlink:label="lab_ifrs-full_NonadjustingEventsAfterReportingPeriodDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Non-adjusting events after reporting period [domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_NonadjustingEventsAfterReportingPeriodDomain" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_NonadjustingEventsAfterReportingPeriodDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_NonadjustingEventsAfterReportingPeriodDomain" xlink:to="lab_ifrs-full_NonadjustingEventsAfterReportingPeriodDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_NotLaterThanThreeMonthsMember_019fae60-c133-75ce-b382-273ff3d5c74e_terseLabel_en-US" xlink:label="lab_ifrs-full_NotLaterThanThreeMonthsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Less than 1 year</link:label>
    <link:label id="lab_ifrs-full_NotLaterThanThreeMonthsMember_label_en-US" xlink:label="lab_ifrs-full_NotLaterThanThreeMonthsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Not later than three months [member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_NotLaterThanThreeMonthsMember" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_NotLaterThanThreeMonthsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_NotLaterThanThreeMonthsMember" xlink:to="lab_ifrs-full_NotLaterThanThreeMonthsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_MaturityAxis_019fae60-c133-7e03-bf64-0d6740cde6ea_terseLabel_en-US" xlink:label="lab_ifrs-full_MaturityAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Maturity [axis]</link:label>
    <link:label id="lab_ifrs-full_MaturityAxis_label_en-US" xlink:label="lab_ifrs-full_MaturityAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Maturity [axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_MaturityAxis" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_MaturityAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_MaturityAxis" xlink:to="lab_ifrs-full_MaturityAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_country_GB_019fae60-c1ca-790f-b0c6-358f5de7ffa7_terseLabel_en-US" xlink:label="lab_country_GB" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">United Kingdom</link:label>
    <link:label id="lab_country_GB_label_en-US" xlink:label="lab_country_GB" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">UNITED KINGDOM</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_country_GB" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_GB"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_country_GB" xlink:to="lab_country_GB" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_DeferredFinancingCostsSettingOffAgainstDebt_019fae60-c253-792f-8005-4d9078e68625_negatedTerseLabel_en-US" xlink:label="lab_lzm_DeferredFinancingCostsSettingOffAgainstDebt" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Transaction cost and arrangement fees</link:label>
    <link:label id="lab_lzm_DeferredFinancingCostsSettingOffAgainstDebt_label_en-US" xlink:label="lab_lzm_DeferredFinancingCostsSettingOffAgainstDebt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Deferred Financing Costs Setting Off Against Debt</link:label>
    <link:label id="lab_lzm_DeferredFinancingCostsSettingOffAgainstDebt_documentation_en-US" xlink:label="lab_lzm_DeferredFinancingCostsSettingOffAgainstDebt" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Deferred Financing Costs Setting Off Against Debt</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_DeferredFinancingCostsSettingOffAgainstDebt" xlink:href="lzm-20260930.xsd#lzm_DeferredFinancingCostsSettingOffAgainstDebt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_DeferredFinancingCostsSettingOffAgainstDebt" xlink:to="lab_lzm_DeferredFinancingCostsSettingOffAgainstDebt" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_SeniorSecuredBridgeLoanFacility_019fae60-c253-797b-b03c-ba2d564aa266_terseLabel_en-US" xlink:label="lab_lzm_SeniorSecuredBridgeLoanFacility" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Senior secured bridge loan facility</link:label>
    <link:label id="lab_lzm_SeniorSecuredBridgeLoanFacility_label_en-US" xlink:label="lab_lzm_SeniorSecuredBridgeLoanFacility" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Senior Secured Bridge Loan Facility</link:label>
    <link:label id="lab_lzm_SeniorSecuredBridgeLoanFacility_documentation_en-US" xlink:label="lab_lzm_SeniorSecuredBridgeLoanFacility" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Senior Secured Bridge Loan Facility</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_SeniorSecuredBridgeLoanFacility" xlink:href="lzm-20260930.xsd#lzm_SeniorSecuredBridgeLoanFacility"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_SeniorSecuredBridgeLoanFacility" xlink:to="lab_lzm_SeniorSecuredBridgeLoanFacility" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_KeithLiddellMember_019fae60-c133-73dc-bda8-26fbb22eb46f_terseLabel_en-US" xlink:label="lab_lzm_KeithLiddellMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Keith Liddell</link:label>
    <link:label id="lab_lzm_KeithLiddellMember_label_en-US" xlink:label="lab_lzm_KeithLiddellMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Keith Liddell [Member]</link:label>
    <link:label id="lab_lzm_KeithLiddellMember_documentation_en-US" xlink:label="lab_lzm_KeithLiddellMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Keith Liddell</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_KeithLiddellMember" xlink:href="lzm-20260930.xsd#lzm_KeithLiddellMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_KeithLiddellMember" xlink:to="lab_lzm_KeithLiddellMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_GeneralAndAdministrativeExpenseNotIncludingDepreciation_019fae60-c253-71b0-a5ac-6cf5ce6824ee_negatedTerseLabel_en-US" xlink:label="lab_lzm_GeneralAndAdministrativeExpenseNotIncludingDepreciation" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">General and administrative expenses</link:label>
    <link:label id="lab_lzm_GeneralAndAdministrativeExpenseNotIncludingDepreciation_label_en-US" xlink:label="lab_lzm_GeneralAndAdministrativeExpenseNotIncludingDepreciation" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">General And Administrative Expense, Not Including Depreciation</link:label>
    <link:label id="lab_lzm_GeneralAndAdministrativeExpenseNotIncludingDepreciation_documentation_en-US" xlink:label="lab_lzm_GeneralAndAdministrativeExpenseNotIncludingDepreciation" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">General And Administrative Expense, Not Including Depreciation</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_GeneralAndAdministrativeExpenseNotIncludingDepreciation" xlink:href="lzm-20260930.xsd#lzm_GeneralAndAdministrativeExpenseNotIncludingDepreciation"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_GeneralAndAdministrativeExpenseNotIncludingDepreciation" xlink:to="lab_lzm_GeneralAndAdministrativeExpenseNotIncludingDepreciation" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_DocumentType_019fae60-c1ca-79f7-ae78-4d358f6e06ad_terseLabel_en-US" xlink:label="lab_dei_DocumentType" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Document Type</link:label>
    <link:label id="lab_dei_DocumentType_label_en-US" xlink:label="lab_dei_DocumentType" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Document Type</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_DocumentType"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_DocumentType" xlink:to="lab_dei_DocumentType" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ExpenseFromSharebasedPaymentTransactionsWithEmployees_019fae60-c253-763f-8cfe-66ae38e435af_terseLabel_en-US" xlink:label="lab_ifrs-full_ExpenseFromSharebasedPaymentTransactionsWithEmployees" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Share-based payment expenses</link:label>
    <link:label id="lab_ifrs-full_ExpenseFromSharebasedPaymentTransactionsWithEmployees_label_en-US" xlink:label="lab_ifrs-full_ExpenseFromSharebasedPaymentTransactionsWithEmployees" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Expense from share-based payment transactions with employees</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ExpenseFromSharebasedPaymentTransactionsWithEmployees" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ExpenseFromSharebasedPaymentTransactionsWithEmployees"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ExpenseFromSharebasedPaymentTransactionsWithEmployees" xlink:to="lab_ifrs-full_ExpenseFromSharebasedPaymentTransactionsWithEmployees" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_PrivateWarrantsMember_019fae60-c1ca-7f5e-8e84-8930af90bba6_terseLabel_en-US" xlink:label="lab_lzm_PrivateWarrantsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Private Placement Warrants</link:label>
    <link:label id="lab_lzm_PrivateWarrantsMember_label_en-US" xlink:label="lab_lzm_PrivateWarrantsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Private Warrants Member</link:label>
    <link:label id="lab_lzm_PrivateWarrantsMember_documentation_en-US" xlink:label="lab_lzm_PrivateWarrantsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Private Warrants Member</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_PrivateWarrantsMember" xlink:href="lzm-20260930.xsd#lzm_PrivateWarrantsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_PrivateWarrantsMember" xlink:to="lab_lzm_PrivateWarrantsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_PurchaseOfBHPsMinorityInterestInKNL_01a15afa-2714-7880-aa27-5856b6457d31_negatedTerseLabel_en-US" xlink:label="lab_lzm_PurchaseOfBHPsMinorityInterestInKNL" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Purchase of BHP's minority interest in KNL</link:label>
    <link:label id="lab_lzm_PurchaseOfBHPsMinorityInterestInKNL_label_en-US" xlink:label="lab_lzm_PurchaseOfBHPsMinorityInterestInKNL" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Purchase Of BHP's Minority Interest In KNL</link:label>
    <link:label id="lab_lzm_PurchaseOfBHPsMinorityInterestInKNL_documentation_en-US" xlink:label="lab_lzm_PurchaseOfBHPsMinorityInterestInKNL" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Purchase Of BHP's Minority Interest In KNL</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_PurchaseOfBHPsMinorityInterestInKNL" xlink:href="lzm-20260930.xsd#lzm_PurchaseOfBHPsMinorityInterestInKNL"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_PurchaseOfBHPsMinorityInterestInKNL" xlink:to="lab_lzm_PurchaseOfBHPsMinorityInterestInKNL" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ClassesOfFinancialAssetsAxis_019fae60-c1ca-7a78-89db-2ed248285fb4_terseLabel_en-US" xlink:label="lab_ifrs-full_ClassesOfFinancialAssetsAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Classes of financial assets [axis]</link:label>
    <link:label id="lab_ifrs-full_ClassesOfFinancialAssetsAxis_label_en-US" xlink:label="lab_ifrs-full_ClassesOfFinancialAssetsAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Classes of financial assets [axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ClassesOfFinancialAssetsAxis" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ClassesOfFinancialAssetsAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ClassesOfFinancialAssetsAxis" xlink:to="lab_ifrs-full_ClassesOfFinancialAssetsAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_PublicWarrantsMember_019fae60-c1ca-7093-9d97-437fe0706cdd_terseLabel_en-US" xlink:label="lab_lzm_PublicWarrantsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Public Warrants</link:label>
    <link:label id="lab_lzm_PublicWarrantsMember_label_en-US" xlink:label="lab_lzm_PublicWarrantsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Public Warrants [Member]</link:label>
    <link:label id="lab_lzm_PublicWarrantsMember_documentation_en-US" xlink:label="lab_lzm_PublicWarrantsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Public Warrants</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_PublicWarrantsMember" xlink:href="lzm-20260930.xsd#lzm_PublicWarrantsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_PublicWarrantsMember" xlink:to="lab_lzm_PublicWarrantsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_NotesAndDebenturesIssued_019fae60-c1ca-763d-aff7-6b4967765ebb_terseLabel_en-US" xlink:label="lab_ifrs-full_NotesAndDebenturesIssued" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Total convertible debentures with embedded derivatives</link:label>
    <link:label id="lab_ifrs-full_NotesAndDebenturesIssued_label_en-US" xlink:label="lab_ifrs-full_NotesAndDebenturesIssued" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Notes and debentures issued</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_NotesAndDebenturesIssued" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_NotesAndDebenturesIssued"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_NotesAndDebenturesIssued" xlink:to="lab_ifrs-full_NotesAndDebenturesIssued" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DebtInstrumentsHeldAtAmortisedCost_019fae60-c253-704c-b109-66eb02f14216_terseLabel_en-US" xlink:label="lab_ifrs-full_DebtInstrumentsHeldAtAmortisedCost" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt instruments held at amortised cost</link:label>
    <link:label id="lab_ifrs-full_DebtInstrumentsHeldAtAmortisedCost_label_en-US" xlink:label="lab_ifrs-full_DebtInstrumentsHeldAtAmortisedCost" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Debt instruments held at amortised cost</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DebtInstrumentsHeldAtAmortisedCost" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DebtInstrumentsHeldAtAmortisedCost"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DebtInstrumentsHeldAtAmortisedCost" xlink:to="lab_ifrs-full_DebtInstrumentsHeldAtAmortisedCost" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_IncomeStatementAbstract_019fae60-c1ca-75b6-8eb5-0c3dba1db0d7_terseLabel_en-US" xlink:label="lab_ifrs-full_IncomeStatementAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Profit or loss [abstract]</link:label>
    <link:label id="lab_ifrs-full_IncomeStatementAbstract_label_en-US" xlink:label="lab_ifrs-full_IncomeStatementAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Profit or loss [abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_IncomeStatementAbstract" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_IncomeStatementAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_IncomeStatementAbstract" xlink:to="lab_ifrs-full_IncomeStatementAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_TradeAndOtherPayablesToTradeSuppliers_019fae60-c1ca-7f75-8cf0-0928b2307e1b_terseLabel_en-US" xlink:label="lab_ifrs-full_TradeAndOtherPayablesToTradeSuppliers" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Trade payables</link:label>
    <link:label id="lab_ifrs-full_TradeAndOtherPayablesToTradeSuppliers_label_en-US" xlink:label="lab_ifrs-full_TradeAndOtherPayablesToTradeSuppliers" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Trade payables</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_TradeAndOtherPayablesToTradeSuppliers" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_TradeAndOtherPayablesToTradeSuppliers"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_TradeAndOtherPayablesToTradeSuppliers" xlink:to="lab_ifrs-full_TradeAndOtherPayablesToTradeSuppliers" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_OperatingSegmentsMember_019fae60-c1ca-730d-a747-c7d3fe25a30d_terseLabel_en-US" xlink:label="lab_ifrs-full_OperatingSegmentsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Operating segments</link:label>
    <link:label id="lab_ifrs-full_OperatingSegmentsMember_label_en-US" xlink:label="lab_ifrs-full_OperatingSegmentsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Operating segments [member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_OperatingSegmentsMember" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_OperatingSegmentsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_OperatingSegmentsMember" xlink:to="lab_ifrs-full_OperatingSegmentsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_CurrentProvisions_019fae60-c1ca-735e-84d5-b89d78d480a7_terseLabel_en-US" xlink:label="lab_ifrs-full_CurrentProvisions" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Provisions</link:label>
    <link:label id="lab_ifrs-full_CurrentProvisions_019fae60-c1ca-767e-91ef-ae4af05cc7c3_totalLabel_en-US" xlink:label="lab_ifrs-full_CurrentProvisions" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total provisions</link:label>
    <link:label id="lab_ifrs-full_CurrentProvisions_label_en-US" xlink:label="lab_ifrs-full_CurrentProvisions" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Current provisions</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_CurrentProvisions" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_CurrentProvisions"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_CurrentProvisions" xlink:to="lab_ifrs-full_CurrentProvisions" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_LaterThanFourYearsAndNotLaterThanFiveYearsMember_019fae60-c253-7fc9-ae97-4839644a6ae2_terseLabel_en-US" xlink:label="lab_ifrs-full_LaterThanFourYearsAndNotLaterThanFiveYearsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">More than 1 year but less than 5 years</link:label>
    <link:label id="lab_ifrs-full_LaterThanFourYearsAndNotLaterThanFiveYearsMember_label_en-US" xlink:label="lab_ifrs-full_LaterThanFourYearsAndNotLaterThanFiveYearsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Later than four years and not later than five years [member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_LaterThanFourYearsAndNotLaterThanFiveYearsMember" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_LaterThanFourYearsAndNotLaterThanFiveYearsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_LaterThanFourYearsAndNotLaterThanFiveYearsMember" xlink:to="lab_ifrs-full_LaterThanFourYearsAndNotLaterThanFiveYearsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_TypesOfSharebasedPaymentArrangementsDomain_019fae60-c253-753d-89ad-4e391d49eaa4_terseLabel_en-US" xlink:label="lab_ifrs-full_TypesOfSharebasedPaymentArrangementsDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Types of share-based payment arrangements [domain]</link:label>
    <link:label id="lab_ifrs-full_TypesOfSharebasedPaymentArrangementsDomain_label_en-US" xlink:label="lab_ifrs-full_TypesOfSharebasedPaymentArrangementsDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Types of share-based payment arrangements [domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_TypesOfSharebasedPaymentArrangementsDomain" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_TypesOfSharebasedPaymentArrangementsDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_TypesOfSharebasedPaymentArrangementsDomain" xlink:to="lab_ifrs-full_TypesOfSharebasedPaymentArrangementsDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ItemsOfContingentLiabilitiesAxis_019fae60-c1ca-7d30-86df-ef14cf67b24f_terseLabel_en-US" xlink:label="lab_ifrs-full_ItemsOfContingentLiabilitiesAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Items of contingent liabilities [axis]</link:label>
    <link:label id="lab_ifrs-full_ItemsOfContingentLiabilitiesAxis_label_en-US" xlink:label="lab_ifrs-full_ItemsOfContingentLiabilitiesAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Items of contingent liabilities [axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ItemsOfContingentLiabilitiesAxis" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ItemsOfContingentLiabilitiesAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ItemsOfContingentLiabilitiesAxis" xlink:to="lab_ifrs-full_ItemsOfContingentLiabilitiesAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_EquityAttributableToOwnersOfParent_019fae60-c1ca-791a-b03c-d4a15b14625f_totalLabel_en-US" xlink:label="lab_ifrs-full_EquityAttributableToOwnersOfParent" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total shareholders&#8217; equity</link:label>
    <link:label id="lab_ifrs-full_EquityAttributableToOwnersOfParent_label_en-US" xlink:label="lab_ifrs-full_EquityAttributableToOwnersOfParent" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity attributable to owners of parent</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_EquityAttributableToOwnersOfParent" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_EquityAttributableToOwnersOfParent"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_EquityAttributableToOwnersOfParent" xlink:to="lab_ifrs-full_EquityAttributableToOwnersOfParent" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_EarningsPerShareAbstract_019fae60-c1ca-7225-8bee-ed72c20eca05_terseLabel_en-US" xlink:label="lab_ifrs-full_EarningsPerShareAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Loss per share</link:label>
    <link:label id="lab_ifrs-full_EarningsPerShareAbstract_label_en-US" xlink:label="lab_ifrs-full_EarningsPerShareAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Earnings per share [abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_EarningsPerShareAbstract" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_EarningsPerShareAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_EarningsPerShareAbstract" xlink:to="lab_ifrs-full_EarningsPerShareAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_RangeAxis_019fae60-c133-70b4-b696-c9882ffefbfc_terseLabel_en-US" xlink:label="lab_ifrs-full_RangeAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Range [axis]</link:label>
    <link:label id="lab_ifrs-full_RangeAxis_label_en-US" xlink:label="lab_ifrs-full_RangeAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Range [axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_RangeAxis" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_RangeAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_RangeAxis" xlink:to="lab_ifrs-full_RangeAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ComponentsOfEquityAxis_019fae60-c1ca-7742-9120-1f15f825be1e_terseLabel_en-US" xlink:label="lab_ifrs-full_ComponentsOfEquityAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Components of equity [axis]</link:label>
    <link:label id="lab_ifrs-full_ComponentsOfEquityAxis_label_en-US" xlink:label="lab_ifrs-full_ComponentsOfEquityAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Components of equity [axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ComponentsOfEquityAxis" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ComponentsOfEquityAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ComponentsOfEquityAxis" xlink:to="lab_ifrs-full_ComponentsOfEquityAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_RestrictedShareUnitsMember_019fae60-c1ca-744c-8952-574c482a839c_terseLabel_en-US" xlink:label="lab_ifrs-full_RestrictedShareUnitsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Restricted stock units</link:label>
    <link:label id="lab_ifrs-full_RestrictedShareUnitsMember_label_en-US" xlink:label="lab_ifrs-full_RestrictedShareUnitsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Restricted share units [member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_RestrictedShareUnitsMember" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_RestrictedShareUnitsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_RestrictedShareUnitsMember" xlink:to="lab_ifrs-full_RestrictedShareUnitsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ProfitLossBeforeTax_019fae60-c1ca-79ce-8a38-2d473e2a194f_totalLabel_en-US" xlink:label="lab_ifrs-full_ProfitLossBeforeTax" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Loss before tax</link:label>
    <link:label id="lab_ifrs-full_ProfitLossBeforeTax_label_en-US" xlink:label="lab_ifrs-full_ProfitLossBeforeTax" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Profit (loss) before tax</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ProfitLossBeforeTax" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ProfitLossBeforeTax"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ProfitLossBeforeTax" xlink:to="lab_ifrs-full_ProfitLossBeforeTax" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_GainOnRemeasurementOfDeferredConsideration_019fae60-c1ca-7815-bbaf-efc8f4ec497c_terseLabel_en-US" xlink:label="lab_lzm_GainOnRemeasurementOfDeferredConsideration" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair value gain (loss) on deferred consideration</link:label>
    <link:label id="lab_lzm_GainOnRemeasurementOfDeferredConsideration_label_en-US" xlink:label="lab_lzm_GainOnRemeasurementOfDeferredConsideration" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Gain On Remeasurement Of Deferred Consideration</link:label>
    <link:label id="lab_lzm_GainOnRemeasurementOfDeferredConsideration_documentation_en-US" xlink:label="lab_lzm_GainOnRemeasurementOfDeferredConsideration" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Gain On Remeasurement Of Deferred Consideration</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_GainOnRemeasurementOfDeferredConsideration" xlink:href="lzm-20260930.xsd#lzm_GainOnRemeasurementOfDeferredConsideration"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_GainOnRemeasurementOfDeferredConsideration" xlink:to="lab_lzm_GainOnRemeasurementOfDeferredConsideration" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_CapitalRedemptionReserve_019fae60-c133-75fb-a05b-43e23620f51f_verboseLabel_en-US" xlink:label="lab_ifrs-full_CapitalRedemptionReserve" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Redemption reserve</link:label>
    <link:label id="lab_ifrs-full_CapitalRedemptionReserve_label_en-US" xlink:label="lab_ifrs-full_CapitalRedemptionReserve" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Capital redemption reserve</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_CapitalRedemptionReserve" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_CapitalRedemptionReserve"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_CapitalRedemptionReserve" xlink:to="lab_ifrs-full_CapitalRedemptionReserve" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_WiderRetentionIncentiveProgramMember_01a15f13-4c68-7144-a9f5-5017c2842e1b_terseLabel_en-US" xlink:label="lab_lzm_WiderRetentionIncentiveProgramMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Wider Retention Incentive Program</link:label>
    <link:label id="lab_lzm_WiderRetentionIncentiveProgramMember_label_en-US" xlink:label="lab_lzm_WiderRetentionIncentiveProgramMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Wider Retention Incentive Program [Member]</link:label>
    <link:label id="lab_lzm_WiderRetentionIncentiveProgramMember_documentation_en-US" xlink:label="lab_lzm_WiderRetentionIncentiveProgramMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Wider Retention Incentive Program</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_WiderRetentionIncentiveProgramMember" xlink:href="lzm-20260930.xsd#lzm_WiderRetentionIncentiveProgramMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_WiderRetentionIncentiveProgramMember" xlink:to="lab_lzm_WiderRetentionIncentiveProgramMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_LaboratoryExpense_019fae60-c253-7970-89d2-d4362ef10902_terseLabel_en-US" xlink:label="lab_lzm_LaboratoryExpense" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Laboratory costs</link:label>
    <link:label id="lab_lzm_LaboratoryExpense_label_en-US" xlink:label="lab_lzm_LaboratoryExpense" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Laboratory Expense</link:label>
    <link:label id="lab_lzm_LaboratoryExpense_documentation_en-US" xlink:label="lab_lzm_LaboratoryExpense" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Laboratory Expense</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_LaboratoryExpense" xlink:href="lzm-20260930.xsd#lzm_LaboratoryExpense"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_LaboratoryExpense" xlink:to="lab_lzm_LaboratoryExpense" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfLiquidityRiskExplanatory_019fae60-c133-752a-a2b9-ce5f21dc92bc_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfLiquidityRiskExplanatory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Liquidity Risk</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfLiquidityRiskExplanatory_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfLiquidityRiskExplanatory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of liquidity risk [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfLiquidityRiskExplanatory" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfLiquidityRiskExplanatory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfLiquidityRiskExplanatory" xlink:to="lab_ifrs-full_DisclosureOfLiquidityRiskExplanatory" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_CategoriesOfRelatedPartiesDomain_019fae60-c1ca-79c2-a5e9-b9fdb18b96a4_terseLabel_en-US" xlink:label="lab_ifrs-full_CategoriesOfRelatedPartiesDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Categories of related parties [domain]</link:label>
    <link:label id="lab_ifrs-full_CategoriesOfRelatedPartiesDomain_label_en-US" xlink:label="lab_ifrs-full_CategoriesOfRelatedPartiesDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Categories of related parties [domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_CategoriesOfRelatedPartiesDomain" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_CategoriesOfRelatedPartiesDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_CategoriesOfRelatedPartiesDomain" xlink:to="lab_ifrs-full_CategoriesOfRelatedPartiesDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfOtherProvisionsTable_019fae60-c133-7734-a2dc-f75f4b3c5395_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfOtherProvisionsTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Disclosure of other provisions [table]</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfOtherProvisionsTable_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfOtherProvisionsTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of other provisions [table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfOtherProvisionsTable" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfOtherProvisionsTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfOtherProvisionsTable" xlink:to="lab_ifrs-full_DisclosureOfOtherProvisionsTable" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_NumberOfTradingDaysToDetermineConversionPrice_019fae60-c253-74b7-8fd2-23ab4b19c72c_terseLabel_en-US" xlink:label="lab_lzm_NumberOfTradingDaysToDetermineConversionPrice" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Number of trading days</link:label>
    <link:label id="lab_lzm_NumberOfTradingDaysToDetermineConversionPrice_label_en-US" xlink:label="lab_lzm_NumberOfTradingDaysToDetermineConversionPrice" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number Of Trading Days To Determine Conversion Price</link:label>
    <link:label id="lab_lzm_NumberOfTradingDaysToDetermineConversionPrice_documentation_en-US" xlink:label="lab_lzm_NumberOfTradingDaysToDetermineConversionPrice" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Represents the number of trading days to determine volume conversion price.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_NumberOfTradingDaysToDetermineConversionPrice" xlink:href="lzm-20260930.xsd#lzm_NumberOfTradingDaysToDetermineConversionPrice"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_NumberOfTradingDaysToDetermineConversionPrice" xlink:to="lab_lzm_NumberOfTradingDaysToDetermineConversionPrice" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_StampDutyTaxesPaidOnAcquisitionOfShares_01a15b00-f9fb-7202-9e30-1ba51826a8d8_negatedTerseLabel_en-US" xlink:label="lab_lzm_StampDutyTaxesPaidOnAcquisitionOfShares" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Stamp duty taxes paid on acquisition of shares</link:label>
    <link:label id="lab_lzm_StampDutyTaxesPaidOnAcquisitionOfShares_label_en-US" xlink:label="lab_lzm_StampDutyTaxesPaidOnAcquisitionOfShares" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Stamp Duty Taxes Paid On Acquisition Of Shares</link:label>
    <link:label id="lab_lzm_StampDutyTaxesPaidOnAcquisitionOfShares_documentation_en-US" xlink:label="lab_lzm_StampDutyTaxesPaidOnAcquisitionOfShares" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Stamp Duty Taxes Paid On Acquisition Of Shares</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_StampDutyTaxesPaidOnAcquisitionOfShares" xlink:href="lzm-20260930.xsd#lzm_StampDutyTaxesPaidOnAcquisitionOfShares"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_StampDutyTaxesPaidOnAcquisitionOfShares" xlink:to="lab_lzm_StampDutyTaxesPaidOnAcquisitionOfShares" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_IncreaseDecreaseThroughNetExchangeDifferencesPropertyPlantAndEquipmentIncludingRightofuseAssets_019fae60-c1ca-7791-850b-64ef41e916a9_terseLabel_en-US" xlink:label="lab_ifrs-full_IncreaseDecreaseThroughNetExchangeDifferencesPropertyPlantAndEquipmentIncludingRightofuseAssets" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Foreign exchange impact</link:label>
    <link:label id="lab_ifrs-full_IncreaseDecreaseThroughNetExchangeDifferencesPropertyPlantAndEquipmentIncludingRightofuseAssets_label_en-US" xlink:label="lab_ifrs-full_IncreaseDecreaseThroughNetExchangeDifferencesPropertyPlantAndEquipmentIncludingRightofuseAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Increase (decrease) through net exchange differences, property, plant and equipment including right-of-use assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_IncreaseDecreaseThroughNetExchangeDifferencesPropertyPlantAndEquipmentIncludingRightofuseAssets" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_IncreaseDecreaseThroughNetExchangeDifferencesPropertyPlantAndEquipmentIncludingRightofuseAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_IncreaseDecreaseThroughNetExchangeDifferencesPropertyPlantAndEquipmentIncludingRightofuseAssets" xlink:to="lab_ifrs-full_IncreaseDecreaseThroughNetExchangeDifferencesPropertyPlantAndEquipmentIncludingRightofuseAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_IntangibleAssetsAbstract_019fae60-c133-7b8e-9f4e-5510d25b6007_terseLabel_en-US" xlink:label="lab_lzm_IntangibleAssetsAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Patents and Other Intangibles [Abstract]</link:label>
    <link:label id="lab_lzm_IntangibleAssetsAbstract_label_en-US" xlink:label="lab_lzm_IntangibleAssetsAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Intangible Assets [Abstract]</link:label>
    <link:label id="lab_lzm_IntangibleAssetsAbstract_documentation_en-US" xlink:label="lab_lzm_IntangibleAssetsAbstract" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Other Intangibles [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_IntangibleAssetsAbstract" xlink:href="lzm-20260930.xsd#lzm_IntangibleAssetsAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_IntangibleAssetsAbstract" xlink:to="lab_lzm_IntangibleAssetsAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_AdjustmentsForDepreciationExpense_019fae60-c133-7c6e-9c21-affd62fa7929_terseLabel_en-US" xlink:label="lab_ifrs-full_AdjustmentsForDepreciationExpense" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Depreciation of property and equipment and right-of-use assets</link:label>
    <link:label id="lab_ifrs-full_AdjustmentsForDepreciationExpense_label_en-US" xlink:label="lab_ifrs-full_AdjustmentsForDepreciationExpense" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Adjustments for depreciation expense</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_AdjustmentsForDepreciationExpense" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_AdjustmentsForDepreciationExpense"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_AdjustmentsForDepreciationExpense" xlink:to="lab_ifrs-full_AdjustmentsForDepreciationExpense" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_PatentCostsIncurred_019fae60-c1ca-7c61-8c41-c2eef39abac9_negatedLabel_en-US" xlink:label="lab_lzm_PatentCostsIncurred" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Patent costs incurred</link:label>
    <link:label id="lab_lzm_PatentCostsIncurred_label_en-US" xlink:label="lab_lzm_PatentCostsIncurred" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Patent Costs Incurred</link:label>
    <link:label id="lab_lzm_PatentCostsIncurred_documentation_en-US" xlink:label="lab_lzm_PatentCostsIncurred" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Patent costs incurred.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_PatentCostsIncurred" xlink:href="lzm-20260930.xsd#lzm_PatentCostsIncurred"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_PatentCostsIncurred" xlink:to="lab_lzm_PatentCostsIncurred" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_EarnoutTriggerEventOneMember_019fae60-c1ca-7c56-be18-c0db518ee8b2_terseLabel_en-US" xlink:label="lab_lzm_EarnoutTriggerEventOneMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Earnout Trigger Event 1</link:label>
    <link:label id="lab_lzm_EarnoutTriggerEventOneMember_label_en-US" xlink:label="lab_lzm_EarnoutTriggerEventOneMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Earnout Trigger Event One [Member]</link:label>
    <link:label id="lab_lzm_EarnoutTriggerEventOneMember_documentation_en-US" xlink:label="lab_lzm_EarnoutTriggerEventOneMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Earnout Trigger Event One</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_EarnoutTriggerEventOneMember" xlink:href="lzm-20260930.xsd#lzm_EarnoutTriggerEventOneMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_EarnoutTriggerEventOneMember" xlink:to="lab_lzm_EarnoutTriggerEventOneMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_TrancheThreeMember_019fae60-c253-7219-a4d1-ea03d6a07564_terseLabel_en-US" xlink:label="lab_lzm_TrancheThreeMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Tranche 3</link:label>
    <link:label id="lab_lzm_TrancheThreeMember_label_en-US" xlink:label="lab_lzm_TrancheThreeMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Tranche Three [Member]</link:label>
    <link:label id="lab_lzm_TrancheThreeMember_documentation_en-US" xlink:label="lab_lzm_TrancheThreeMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Tranche Three</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_TrancheThreeMember" xlink:href="lzm-20260930.xsd#lzm_TrancheThreeMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_TrancheThreeMember" xlink:to="lab_lzm_TrancheThreeMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfOperatingSegmentsExplanatory_019fae60-c253-74f0-b8eb-0e14653e9511_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfOperatingSegmentsExplanatory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Segment Information</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfOperatingSegmentsExplanatory_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfOperatingSegmentsExplanatory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of operating segments [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfOperatingSegmentsExplanatory" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfOperatingSegmentsExplanatory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfOperatingSegmentsExplanatory" xlink:to="lab_ifrs-full_DisclosureOfOperatingSegmentsExplanatory" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_IssuanceOfSharesRegisteredDirectOfferingAmount_019fae60-c253-7760-8de3-a4c836142a38_terseLabel_en-US" xlink:label="lab_lzm_IssuanceOfSharesRegisteredDirectOfferingAmount" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Registered direct offering (net of costs)</link:label>
    <link:label id="lab_lzm_IssuanceOfSharesRegisteredDirectOfferingAmount_019fae60-c253-7d0c-9fdb-6b3a8e83648a_verboseLabel_en-US" xlink:label="lab_lzm_IssuanceOfSharesRegisteredDirectOfferingAmount" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Proceeds of equity issuance</link:label>
    <link:label id="lab_lzm_IssuanceOfSharesRegisteredDirectOfferingAmount_label_en-US" xlink:label="lab_lzm_IssuanceOfSharesRegisteredDirectOfferingAmount" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Issuance Of Shares, Registered Direct Offering, Amount</link:label>
    <link:label id="lab_lzm_IssuanceOfSharesRegisteredDirectOfferingAmount_documentation_en-US" xlink:label="lab_lzm_IssuanceOfSharesRegisteredDirectOfferingAmount" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Issuance Of Shares, Registered Direct Offering, Amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_IssuanceOfSharesRegisteredDirectOfferingAmount" xlink:href="lzm-20260930.xsd#lzm_IssuanceOfSharesRegisteredDirectOfferingAmount"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_IssuanceOfSharesRegisteredDirectOfferingAmount" xlink:to="lab_lzm_IssuanceOfSharesRegisteredDirectOfferingAmount" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_WeightedAverageShares_019fae60-c133-707d-ae8d-74d7db09b940_terseLabel_en-US" xlink:label="lab_ifrs-full_WeightedAverageShares" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Basic weighted-average outstanding ordinary shares (in shares)</link:label>
    <link:label id="lab_ifrs-full_WeightedAverageShares_label_en-US" xlink:label="lab_ifrs-full_WeightedAverageShares" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Weighted average number of ordinary shares used in calculating basic earnings per share</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_WeightedAverageShares" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_WeightedAverageShares"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_WeightedAverageShares" xlink:to="lab_ifrs-full_WeightedAverageShares" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_CashPaidToTaxReceivableAgreement_019fae60-c253-7a18-8a41-7e052f762c61_terseLabel_en-US" xlink:label="lab_lzm_CashPaidToTaxReceivableAgreement" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Tax receivable agreement paid</link:label>
    <link:label id="lab_lzm_CashPaidToTaxReceivableAgreement_label_en-US" xlink:label="lab_lzm_CashPaidToTaxReceivableAgreement" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash Paid To Tax Receivable Agreement</link:label>
    <link:label id="lab_lzm_CashPaidToTaxReceivableAgreement_documentation_en-US" xlink:label="lab_lzm_CashPaidToTaxReceivableAgreement" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Cash Paid To Tax Receivable Agreement</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_CashPaidToTaxReceivableAgreement" xlink:href="lzm-20260930.xsd#lzm_CashPaidToTaxReceivableAgreement"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_CashPaidToTaxReceivableAgreement" xlink:to="lab_lzm_CashPaidToTaxReceivableAgreement" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ReferenceSharePrice_019fae60-c1ca-75bf-bfb2-05ef5eeb1e53_terseLabel_en-US" xlink:label="lab_lzm_ReferenceSharePrice" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Reference share price (in dollars per share)</link:label>
    <link:label id="lab_lzm_ReferenceSharePrice_label_en-US" xlink:label="lab_lzm_ReferenceSharePrice" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Reference Share Price</link:label>
    <link:label id="lab_lzm_ReferenceSharePrice_documentation_en-US" xlink:label="lab_lzm_ReferenceSharePrice" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Reference Share Price</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ReferenceSharePrice" xlink:href="lzm-20260930.xsd#lzm_ReferenceSharePrice"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ReferenceSharePrice" xlink:to="lab_lzm_ReferenceSharePrice" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_TaxAppealRevisionOfAdditionalInterestMember_019fae60-c1ca-7246-8344-b532d22af924_terseLabel_en-US" xlink:label="lab_lzm_TaxAppealRevisionOfAdditionalInterestMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Revision of Interest</link:label>
    <link:label id="lab_lzm_TaxAppealRevisionOfAdditionalInterestMember_label_en-US" xlink:label="lab_lzm_TaxAppealRevisionOfAdditionalInterestMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Tax Appeal, Revision Of Additional Interest [Member]</link:label>
    <link:label id="lab_lzm_TaxAppealRevisionOfAdditionalInterestMember_documentation_en-US" xlink:label="lab_lzm_TaxAppealRevisionOfAdditionalInterestMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Tax Appeal, Revision Of Additional Interest</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_TaxAppealRevisionOfAdditionalInterestMember" xlink:href="lzm-20260930.xsd#lzm_TaxAppealRevisionOfAdditionalInterestMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_TaxAppealRevisionOfAdditionalInterestMember" xlink:to="lab_lzm_TaxAppealRevisionOfAdditionalInterestMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfIntangibleAssetsTable_019fae60-c133-7b67-96f8-67c7d91b47be_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfIntangibleAssetsTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Disclosure of detailed information about intangible assets [table]</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfIntangibleAssetsTable_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfIntangibleAssetsTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of detailed information about intangible assets [table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfIntangibleAssetsTable" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfIntangibleAssetsTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfIntangibleAssetsTable" xlink:to="lab_ifrs-full_DisclosureOfIntangibleAssetsTable" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_OtherReserves_019fae60-c133-7753-8b1c-c09f64527659_verboseLabel_en-US" xlink:label="lab_ifrs-full_OtherReserves" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Other reserves</link:label>
    <link:label id="lab_ifrs-full_OtherReserves_label_en-US" xlink:label="lab_ifrs-full_OtherReserves" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Other reserves</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_OtherReserves" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_OtherReserves"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_OtherReserves" xlink:to="lab_ifrs-full_OtherReserves" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_KeyManagementPersonnelCompensationSharebasedPayment_019fae60-c133-7af6-b4bf-a2593fe183fe_terseLabel_en-US" xlink:label="lab_ifrs-full_KeyManagementPersonnelCompensationSharebasedPayment" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Post-employment benefits (pensions)</link:label>
    <link:label id="lab_ifrs-full_KeyManagementPersonnelCompensationSharebasedPayment_label_en-US" xlink:label="lab_ifrs-full_KeyManagementPersonnelCompensationSharebasedPayment" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Key management personnel compensation, share-based payment</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_KeyManagementPersonnelCompensationSharebasedPayment" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_KeyManagementPersonnelCompensationSharebasedPayment"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_KeyManagementPersonnelCompensationSharebasedPayment" xlink:to="lab_ifrs-full_KeyManagementPersonnelCompensationSharebasedPayment" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_AmountReceivedFromSecondTrancheForFinanceFund_019fae60-c253-7fb3-93b0-03fdf0fcff45_terseLabel_en-US" xlink:label="lab_lzm_AmountReceivedFromSecondTrancheForFinanceFund" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Partial drawdown of second tranche</link:label>
    <link:label id="lab_lzm_AmountReceivedFromSecondTrancheForFinanceFund_label_en-US" xlink:label="lab_lzm_AmountReceivedFromSecondTrancheForFinanceFund" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Amount Received From Second Tranche For Finance Fund</link:label>
    <link:label id="lab_lzm_AmountReceivedFromSecondTrancheForFinanceFund_documentation_en-US" xlink:label="lab_lzm_AmountReceivedFromSecondTrancheForFinanceFund" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Amount Received From Second Tranche For Finance Fund</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_AmountReceivedFromSecondTrancheForFinanceFund" xlink:href="lzm-20260930.xsd#lzm_AmountReceivedFromSecondTrancheForFinanceFund"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_AmountReceivedFromSecondTrancheForFinanceFund" xlink:to="lab_lzm_AmountReceivedFromSecondTrancheForFinanceFund" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_PercentageOfSensitivityAnalysis_019fae60-c253-7a3e-8593-08d44ade7bcb_terseLabel_en-US" xlink:label="lab_lzm_PercentageOfSensitivityAnalysis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Percentage of sensitivity analysis</link:label>
    <link:label id="lab_lzm_PercentageOfSensitivityAnalysis_label_en-US" xlink:label="lab_lzm_PercentageOfSensitivityAnalysis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Percentage Of Sensitivity Analysis</link:label>
    <link:label id="lab_lzm_PercentageOfSensitivityAnalysis_documentation_en-US" xlink:label="lab_lzm_PercentageOfSensitivityAnalysis" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Percentage Of Sensitivity Analysis</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_PercentageOfSensitivityAnalysis" xlink:href="lzm-20260930.xsd#lzm_PercentageOfSensitivityAnalysis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_PercentageOfSensitivityAnalysis" xlink:to="lab_lzm_PercentageOfSensitivityAnalysis" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfInstrumentsWithPotentialFutureDilutiveEffectNotIncludedInCalculationOfDilutedEarningsPerShareExplanatory2023_019fae60-c133-76e3-b839-3eac01a08be2_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfInstrumentsWithPotentialFutureDilutiveEffectNotIncludedInCalculationOfDilutedEarningsPerShareExplanatory2023" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Potentially Dilute Basic Earnings Per Share Not Included in Calculation of Diluted Earnings Per Share</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfInstrumentsWithPotentialFutureDilutiveEffectNotIncludedInCalculationOfDilutedEarningsPerShareExplanatory2023_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfInstrumentsWithPotentialFutureDilutiveEffectNotIncludedInCalculationOfDilutedEarningsPerShareExplanatory2023" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of instruments with potential future dilutive effect not included in calculation of diluted earnings per share [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfInstrumentsWithPotentialFutureDilutiveEffectNotIncludedInCalculationOfDilutedEarningsPerShareExplanatory2023" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfInstrumentsWithPotentialFutureDilutiveEffectNotIncludedInCalculationOfDilutedEarningsPerShareExplanatory2023"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfInstrumentsWithPotentialFutureDilutiveEffectNotIncludedInCalculationOfDilutedEarningsPerShareExplanatory2023" xlink:to="lab_ifrs-full_DisclosureOfInstrumentsWithPotentialFutureDilutiveEffectNotIncludedInCalculationOfDilutedEarningsPerShareExplanatory2023" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_NumberOfSharesIssueOfShareOnVestingOfRSUs_019fae60-c1ca-7c8b-9784-85e664b536f8_terseLabel_en-US" xlink:label="lab_lzm_NumberOfSharesIssueOfShareOnVestingOfRSUs" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Issue of shares on vesting of RSUs (in shares)</link:label>
    <link:label id="lab_lzm_NumberOfSharesIssueOfShareOnVestingOfRSUs_label_en-US" xlink:label="lab_lzm_NumberOfSharesIssueOfShareOnVestingOfRSUs" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number Of Shares, Issue Of Share On Vesting Of RSUs</link:label>
    <link:label id="lab_lzm_NumberOfSharesIssueOfShareOnVestingOfRSUs_documentation_en-US" xlink:label="lab_lzm_NumberOfSharesIssueOfShareOnVestingOfRSUs" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Number Of Shares, Issue Of Share On Vesting Of RSUs</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_NumberOfSharesIssueOfShareOnVestingOfRSUs" xlink:href="lzm-20260930.xsd#lzm_NumberOfSharesIssueOfShareOnVestingOfRSUs"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_NumberOfSharesIssueOfShareOnVestingOfRSUs" xlink:to="lab_lzm_NumberOfSharesIssueOfShareOnVestingOfRSUs" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ShareBasedPaymentsArrangementsTrancheAxis_019fae60-c253-7937-8275-0a0923a714f3_terseLabel_en-US" xlink:label="lab_lzm_ShareBasedPaymentsArrangementsTrancheAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Share-based payments arrangements, tranche [Axis]</link:label>
    <link:label id="lab_lzm_ShareBasedPaymentsArrangementsTrancheAxis_label_en-US" xlink:label="lab_lzm_ShareBasedPaymentsArrangementsTrancheAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Share-based payments arrangements, tranche [Axis]</link:label>
    <link:label id="lab_lzm_ShareBasedPaymentsArrangementsTrancheAxis_documentation_en-US" xlink:label="lab_lzm_ShareBasedPaymentsArrangementsTrancheAxis" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Share-based payments arrangements, tranche</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ShareBasedPaymentsArrangementsTrancheAxis" xlink:href="lzm-20260930.xsd#lzm_ShareBasedPaymentsArrangementsTrancheAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ShareBasedPaymentsArrangementsTrancheAxis" xlink:to="lab_lzm_ShareBasedPaymentsArrangementsTrancheAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_RestOfTheWorldMember_019fae60-c253-77d5-8674-21ef2c05063c_terseLabel_en-US" xlink:label="lab_lzm_RestOfTheWorldMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Rest of the world</link:label>
    <link:label id="lab_lzm_RestOfTheWorldMember_label_en-US" xlink:label="lab_lzm_RestOfTheWorldMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Rest Of The World [Member]</link:label>
    <link:label id="lab_lzm_RestOfTheWorldMember_documentation_en-US" xlink:label="lab_lzm_RestOfTheWorldMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Rest Of The World</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_RestOfTheWorldMember" xlink:href="lzm-20260930.xsd#lzm_RestOfTheWorldMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_RestOfTheWorldMember" xlink:to="lab_lzm_RestOfTheWorldMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_NumberOfShareOptionsExercisableInSharebasedPaymentArrangement_019fae60-c253-7d64-bf43-a3dbf557c9a2_terseLabel_en-US" xlink:label="lab_ifrs-full_NumberOfShareOptionsExercisableInSharebasedPaymentArrangement" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Exercisable (in shares)</link:label>
    <link:label id="lab_ifrs-full_NumberOfShareOptionsExercisableInSharebasedPaymentArrangement_label_en-US" xlink:label="lab_ifrs-full_NumberOfShareOptionsExercisableInSharebasedPaymentArrangement" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number of share options exercisable in share-based payment arrangement</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_NumberOfShareOptionsExercisableInSharebasedPaymentArrangement" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_NumberOfShareOptionsExercisableInSharebasedPaymentArrangement"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_NumberOfShareOptionsExercisableInSharebasedPaymentArrangement" xlink:to="lab_ifrs-full_NumberOfShareOptionsExercisableInSharebasedPaymentArrangement" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfInformationForIndividualAssetOrCashgeneratingUnitWithSignificantAmountOfGoodwillOrIntangibleAssetsWithIndefiniteUsefulLivesLineItems_019fae60-c1ca-7062-a859-338f9cca0a41_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfInformationForIndividualAssetOrCashgeneratingUnitWithSignificantAmountOfGoodwillOrIntangibleAssetsWithIndefiniteUsefulLivesLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Disclosure of information for cash-generating units [line items]</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfInformationForIndividualAssetOrCashgeneratingUnitWithSignificantAmountOfGoodwillOrIntangibleAssetsWithIndefiniteUsefulLivesLineItems_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfInformationForIndividualAssetOrCashgeneratingUnitWithSignificantAmountOfGoodwillOrIntangibleAssetsWithIndefiniteUsefulLivesLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of information for cash-generating units [line items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfInformationForIndividualAssetOrCashgeneratingUnitWithSignificantAmountOfGoodwillOrIntangibleAssetsWithIndefiniteUsefulLivesLineItems" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfInformationForIndividualAssetOrCashgeneratingUnitWithSignificantAmountOfGoodwillOrIntangibleAssetsWithIndefiniteUsefulLivesLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfInformationForIndividualAssetOrCashgeneratingUnitWithSignificantAmountOfGoodwillOrIntangibleAssetsWithIndefiniteUsefulLivesLineItems" xlink:to="lab_ifrs-full_DisclosureOfInformationForIndividualAssetOrCashgeneratingUnitWithSignificantAmountOfGoodwillOrIntangibleAssetsWithIndefiniteUsefulLivesLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_InterestExpenseIncomeDefinedBenefitPlansAbstract_019fae60-c1ca-7d95-8920-3093c00c32f8_terseLabel_en-US" xlink:label="lab_ifrs-full_InterestExpenseIncomeDefinedBenefitPlansAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest expense (income), defined benefit plans [abstract]</link:label>
    <link:label id="lab_ifrs-full_InterestExpenseIncomeDefinedBenefitPlansAbstract_label_en-US" xlink:label="lab_ifrs-full_InterestExpenseIncomeDefinedBenefitPlansAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest expense (income), defined benefit plans [abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_InterestExpenseIncomeDefinedBenefitPlansAbstract" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_InterestExpenseIncomeDefinedBenefitPlansAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_InterestExpenseIncomeDefinedBenefitPlansAbstract" xlink:to="lab_ifrs-full_InterestExpenseIncomeDefinedBenefitPlansAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_DividendYieldMember_019fae60-c1ca-7764-9646-1a0f8241a185_terseLabel_en-US" xlink:label="lab_lzm_DividendYieldMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Dividend Yield</link:label>
    <link:label id="lab_lzm_DividendYieldMember_label_en-US" xlink:label="lab_lzm_DividendYieldMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Dividend Yield [Member]</link:label>
    <link:label id="lab_lzm_DividendYieldMember_documentation_en-US" xlink:label="lab_lzm_DividendYieldMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Dividend Yield</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_DividendYieldMember" xlink:href="lzm-20260930.xsd#lzm_DividendYieldMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_DividendYieldMember" xlink:to="lab_lzm_DividendYieldMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ConversionPriceRate_019fae60-c1ca-7138-a78e-35d7b9a62720_terseLabel_en-US" xlink:label="lab_lzm_ConversionPriceRate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Conversion price rate</link:label>
    <link:label id="lab_lzm_ConversionPriceRate_label_en-US" xlink:label="lab_lzm_ConversionPriceRate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Conversion Price Rate</link:label>
    <link:label id="lab_lzm_ConversionPriceRate_documentation_en-US" xlink:label="lab_lzm_ConversionPriceRate" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Dividend or interest rate associated with the financial instrument issued in exchange for the original debt being converted in a noncash or part noncash transaction. Noncash are transactions that affect recognized assets or liabilities but that do not result in cash receipts or cash payments. Part noncash refers to that portion of the transaction not resulting in cash receipts or cash payments.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ConversionPriceRate" xlink:href="lzm-20260930.xsd#lzm_ConversionPriceRate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ConversionPriceRate" xlink:to="lab_lzm_ConversionPriceRate" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_CashFlowsFromUsedInFinancingActivities_019fae60-c133-7b13-9be9-d1d733c716a1_totalLabel_en-US" xlink:label="lab_ifrs-full_CashFlowsFromUsedInFinancingActivities" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Net cash provided by financing activities</link:label>
    <link:label id="lab_ifrs-full_CashFlowsFromUsedInFinancingActivities_label_en-US" xlink:label="lab_ifrs-full_CashFlowsFromUsedInFinancingActivities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash flows from (used in) financing activities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_CashFlowsFromUsedInFinancingActivities" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_CashFlowsFromUsedInFinancingActivities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_CashFlowsFromUsedInFinancingActivities" xlink:to="lab_ifrs-full_CashFlowsFromUsedInFinancingActivities" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_CounterpartiesAxis_019fae60-c133-713e-969a-4e81cc889ade_terseLabel_en-US" xlink:label="lab_ifrs-full_CounterpartiesAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Counterparties [axis]</link:label>
    <link:label id="lab_ifrs-full_CounterpartiesAxis_label_en-US" xlink:label="lab_ifrs-full_CounterpartiesAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Counterparties [axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_CounterpartiesAxis" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_CounterpartiesAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_CounterpartiesAxis" xlink:to="lab_ifrs-full_CounterpartiesAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_NumberOfConsecutiveTradingDaysToDetermineConversionPrice_019fae60-c1ca-73f5-ab9c-fb1a62c6e1d7_terseLabel_en-US" xlink:label="lab_lzm_NumberOfConsecutiveTradingDaysToDetermineConversionPrice" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Number of consecutive trading days</link:label>
    <link:label id="lab_lzm_NumberOfConsecutiveTradingDaysToDetermineConversionPrice_label_en-US" xlink:label="lab_lzm_NumberOfConsecutiveTradingDaysToDetermineConversionPrice" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number Of Consecutive Trading Days To Determine Conversion Price</link:label>
    <link:label id="lab_lzm_NumberOfConsecutiveTradingDaysToDetermineConversionPrice_documentation_en-US" xlink:label="lab_lzm_NumberOfConsecutiveTradingDaysToDetermineConversionPrice" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Represents the number of consecutive trading day period to determine volume consecutive price.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_NumberOfConsecutiveTradingDaysToDetermineConversionPrice" xlink:href="lzm-20260930.xsd#lzm_NumberOfConsecutiveTradingDaysToDetermineConversionPrice"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_NumberOfConsecutiveTradingDaysToDetermineConversionPrice" xlink:to="lab_lzm_NumberOfConsecutiveTradingDaysToDetermineConversionPrice" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_EffectOfSharesIssuanceOnConversionOfDebentures_019fae60-c1ca-7d3a-9e84-9f8638c559b3_terseLabel_en-US" xlink:label="lab_lzm_EffectOfSharesIssuanceOnConversionOfDebentures" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Convertible debentures (in shares)</link:label>
    <link:label id="lab_lzm_EffectOfSharesIssuanceOnConversionOfDebentures_label_en-US" xlink:label="lab_lzm_EffectOfSharesIssuanceOnConversionOfDebentures" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Effect Of Shares Issuance On Conversion Of Debentures</link:label>
    <link:label id="lab_lzm_EffectOfSharesIssuanceOnConversionOfDebentures_documentation_en-US" xlink:label="lab_lzm_EffectOfSharesIssuanceOnConversionOfDebentures" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Effect Of Shares Issuance On Conversion Of Debentures</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_EffectOfSharesIssuanceOnConversionOfDebentures" xlink:href="lzm-20260930.xsd#lzm_EffectOfSharesIssuanceOnConversionOfDebentures"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_EffectOfSharesIssuanceOnConversionOfDebentures" xlink:to="lab_lzm_EffectOfSharesIssuanceOnConversionOfDebentures" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_MrSimonLiddellMember_019fae60-c1ca-7609-985a-36763e0ba237_terseLabel_en-US" xlink:label="lab_lzm_MrSimonLiddellMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Simon Liddell</link:label>
    <link:label id="lab_lzm_MrSimonLiddellMember_label_en-US" xlink:label="lab_lzm_MrSimonLiddellMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Mr Simon Liddell [Member]</link:label>
    <link:label id="lab_lzm_MrSimonLiddellMember_documentation_en-US" xlink:label="lab_lzm_MrSimonLiddellMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Mr Simon Liddell</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_MrSimonLiddellMember" xlink:href="lzm-20260930.xsd#lzm_MrSimonLiddellMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_MrSimonLiddellMember" xlink:to="lab_lzm_MrSimonLiddellMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_RiskfreeRateMember_019fae60-c253-74b6-bdfd-dc206098d32e_terseLabel_en-US" xlink:label="lab_lzm_RiskfreeRateMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Risk-free Rate</link:label>
    <link:label id="lab_lzm_RiskfreeRateMember_label_en-US" xlink:label="lab_lzm_RiskfreeRateMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Riskfree Rate [Member]</link:label>
    <link:label id="lab_lzm_RiskfreeRateMember_documentation_en-US" xlink:label="lab_lzm_RiskfreeRateMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Riskfree Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_RiskfreeRateMember" xlink:href="lzm-20260930.xsd#lzm_RiskfreeRateMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_RiskfreeRateMember" xlink:to="lab_lzm_RiskfreeRateMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfDeferredTaxesExplanatory_019fae60-c1ca-7bd4-9fe0-2b768d5828d2_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfDeferredTaxesExplanatory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Unrecognized Deferred Tax Assets</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfDeferredTaxesExplanatory_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfDeferredTaxesExplanatory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of deferred taxes [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfDeferredTaxesExplanatory" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfDeferredTaxesExplanatory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfDeferredTaxesExplanatory" xlink:to="lab_ifrs-full_DisclosureOfDeferredTaxesExplanatory" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_StatementOfChangesInEquityTable_019fae60-c1ca-724a-a68b-b227d52bc724_terseLabel_en-US" xlink:label="lab_ifrs-full_StatementOfChangesInEquityTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Statement of changes in equity [table]</link:label>
    <link:label id="lab_ifrs-full_StatementOfChangesInEquityTable_label_en-US" xlink:label="lab_ifrs-full_StatementOfChangesInEquityTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Statement of changes in equity [table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_StatementOfChangesInEquityTable" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_StatementOfChangesInEquityTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_StatementOfChangesInEquityTable" xlink:to="lab_ifrs-full_StatementOfChangesInEquityTable" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ActuarialAssumptionsAxis_019fae60-c253-74c0-9024-1ccb97852316_terseLabel_en-US" xlink:label="lab_ifrs-full_ActuarialAssumptionsAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Actuarial assumptions [axis]</link:label>
    <link:label id="lab_ifrs-full_ActuarialAssumptionsAxis_label_en-US" xlink:label="lab_ifrs-full_ActuarialAssumptionsAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Actuarial assumptions [axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ActuarialAssumptionsAxis" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ActuarialAssumptionsAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ActuarialAssumptionsAxis" xlink:to="lab_ifrs-full_ActuarialAssumptionsAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ChangeInTZSRateMember_019fae60-c1ca-73c7-a544-943a269b5c7a_terseLabel_en-US" xlink:label="lab_lzm_ChangeInTZSRateMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Change in TZS Rate</link:label>
    <link:label id="lab_lzm_ChangeInTZSRateMember_label_en-US" xlink:label="lab_lzm_ChangeInTZSRateMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Change In TZSRate [Member]</link:label>
    <link:label id="lab_lzm_ChangeInTZSRateMember_documentation_en-US" xlink:label="lab_lzm_ChangeInTZSRateMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Change In TZSRate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ChangeInTZSRateMember" xlink:href="lzm-20260930.xsd#lzm_ChangeInTZSRateMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ChangeInTZSRateMember" xlink:to="lab_lzm_ChangeInTZSRateMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_StrikePrice_019fae60-c253-707e-9535-c265035578be_terseLabel_en-US" xlink:label="lab_lzm_StrikePrice" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Strike price (in dollars per share)</link:label>
    <link:label id="lab_lzm_StrikePrice_label_en-US" xlink:label="lab_lzm_StrikePrice" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Strike Price</link:label>
    <link:label id="lab_lzm_StrikePrice_documentation_en-US" xlink:label="lab_lzm_StrikePrice" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Represent the amount of strike price.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_StrikePrice" xlink:href="lzm-20260930.xsd#lzm_StrikePrice"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_StrikePrice" xlink:to="lab_lzm_StrikePrice" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_HistoricalVolatilityForSharesMeasurementInputMember_019fae60-c1ca-78de-8cef-91d6f9b99f15_terseLabel_en-US" xlink:label="lab_ifrs-full_HistoricalVolatilityForSharesMeasurementInputMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Equity Volatility</link:label>
    <link:label id="lab_ifrs-full_HistoricalVolatilityForSharesMeasurementInputMember_label_en-US" xlink:label="lab_ifrs-full_HistoricalVolatilityForSharesMeasurementInputMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Historical volatility for shares, measurement input [member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_HistoricalVolatilityForSharesMeasurementInputMember" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_HistoricalVolatilityForSharesMeasurementInputMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_HistoricalVolatilityForSharesMeasurementInputMember" xlink:to="lab_ifrs-full_HistoricalVolatilityForSharesMeasurementInputMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_CostOfSales_019fae60-c1ca-7c37-b622-97f0c007c2ff_negatedLabel_en-US" xlink:label="lab_ifrs-full_CostOfSales" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Cost of sales</link:label>
    <link:label id="lab_ifrs-full_CostOfSales_019fae60-c1ca-7ead-b968-0c4b7c5f2585_negatedTerseLabel_en-US" xlink:label="lab_ifrs-full_CostOfSales" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Cost of sales</link:label>
    <link:label id="lab_ifrs-full_CostOfSales_label_en-US" xlink:label="lab_ifrs-full_CostOfSales" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cost of sales</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_CostOfSales" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_CostOfSales"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_CostOfSales" xlink:to="lab_ifrs-full_CostOfSales" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_CurrentFiscalYearEndDate_019fae60-c133-73e4-8c81-e123218c3cfd_terseLabel_en-US" xlink:label="lab_dei_CurrentFiscalYearEndDate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Current Fiscal Year End Date</link:label>
    <link:label id="lab_dei_CurrentFiscalYearEndDate_label_en-US" xlink:label="lab_dei_CurrentFiscalYearEndDate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Current Fiscal Year End Date</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CurrentFiscalYearEndDate" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_CurrentFiscalYearEndDate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_CurrentFiscalYearEndDate" xlink:to="lab_dei_CurrentFiscalYearEndDate" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_CashEquivalents_019fae60-c1ca-7b12-ac7d-75a8cd01698f_terseLabel_en-US" xlink:label="lab_ifrs-full_CashEquivalents" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cash equivalents</link:label>
    <link:label id="lab_ifrs-full_CashEquivalents_label_en-US" xlink:label="lab_ifrs-full_CashEquivalents" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash equivalents</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_CashEquivalents" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_CashEquivalents"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_CashEquivalents" xlink:to="lab_ifrs-full_CashEquivalents" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DividendsPaidOrdinarySharesPerShare_019fae60-c1ca-76da-b507-a914fd6caa35_terseLabel_en-US" xlink:label="lab_ifrs-full_DividendsPaidOrdinarySharesPerShare" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Share price (in dollars per share)</link:label>
    <link:label id="lab_ifrs-full_DividendsPaidOrdinarySharesPerShare_label_en-US" xlink:label="lab_ifrs-full_DividendsPaidOrdinarySharesPerShare" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Dividends paid, ordinary shares per share</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DividendsPaidOrdinarySharesPerShare" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DividendsPaidOrdinarySharesPerShare"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DividendsPaidOrdinarySharesPerShare" xlink:to="lab_ifrs-full_DividendsPaidOrdinarySharesPerShare" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_DisclosureOfCarryingAmountForTheReportingPeriodsTableTextBlock_019fae60-c1ca-779c-915d-01dc7f11bba9_terseLabel_en-US" xlink:label="lab_lzm_DisclosureOfCarryingAmountForTheReportingPeriodsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Carrying Amount for the Reporting Periods</link:label>
    <link:label id="lab_lzm_DisclosureOfCarryingAmountForTheReportingPeriodsTableTextBlock_label_en-US" xlink:label="lab_lzm_DisclosureOfCarryingAmountForTheReportingPeriodsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure Of Carrying Amount For The Reporting Periods [Table Text Block]</link:label>
    <link:label id="lab_lzm_DisclosureOfCarryingAmountForTheReportingPeriodsTableTextBlock_documentation_en-US" xlink:label="lab_lzm_DisclosureOfCarryingAmountForTheReportingPeriodsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">The disclosure of carrying amount for the reporting periods.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_DisclosureOfCarryingAmountForTheReportingPeriodsTableTextBlock" xlink:href="lzm-20260930.xsd#lzm_DisclosureOfCarryingAmountForTheReportingPeriodsTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_DisclosureOfCarryingAmountForTheReportingPeriodsTableTextBlock" xlink:to="lab_lzm_DisclosureOfCarryingAmountForTheReportingPeriodsTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_CreditSpreadMember_019fae60-c133-7583-a915-1d385e7041b5_terseLabel_en-US" xlink:label="lab_lzm_CreditSpreadMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Credit Spread</link:label>
    <link:label id="lab_lzm_CreditSpreadMember_label_en-US" xlink:label="lab_lzm_CreditSpreadMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Credit Spread [Member]</link:label>
    <link:label id="lab_lzm_CreditSpreadMember_documentation_en-US" xlink:label="lab_lzm_CreditSpreadMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Credit Spread</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_CreditSpreadMember" xlink:href="lzm-20260930.xsd#lzm_CreditSpreadMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_CreditSpreadMember" xlink:to="lab_lzm_CreditSpreadMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DilutiveEffectOfRestrictedShareUnitsOnWeightedAverageNumberOfOrdinaryShares_019fae60-c253-792b-b0ad-66c46107d345_terseLabel_en-US" xlink:label="lab_ifrs-full_DilutiveEffectOfRestrictedShareUnitsOnWeightedAverageNumberOfOrdinaryShares" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Restricted stock units (in shares)</link:label>
    <link:label id="lab_ifrs-full_DilutiveEffectOfRestrictedShareUnitsOnWeightedAverageNumberOfOrdinaryShares_label_en-US" xlink:label="lab_ifrs-full_DilutiveEffectOfRestrictedShareUnitsOnWeightedAverageNumberOfOrdinaryShares" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Dilutive effect of restricted share units on weighted average number of ordinary shares</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DilutiveEffectOfRestrictedShareUnitsOnWeightedAverageNumberOfOrdinaryShares" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DilutiveEffectOfRestrictedShareUnitsOnWeightedAverageNumberOfOrdinaryShares"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DilutiveEffectOfRestrictedShareUnitsOnWeightedAverageNumberOfOrdinaryShares" xlink:to="lab_ifrs-full_DilutiveEffectOfRestrictedShareUnitsOnWeightedAverageNumberOfOrdinaryShares" xlink:type="arc" order="1"/>
    <link:label id="lab_country_IM_019fae60-c1ca-7980-9d80-a41d310d408f_terseLabel_en-US" xlink:label="lab_country_IM" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Isle of Man</link:label>
    <link:label id="lab_country_IM_label_en-US" xlink:label="lab_country_IM" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">ISLE OF MAN</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_country_IM" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_IM"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_country_IM" xlink:to="lab_country_IM" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_BottomOfRangeMember_019fae60-c133-7fa6-8d23-57223b4c6cdf_terseLabel_en-US" xlink:label="lab_ifrs-full_BottomOfRangeMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Bottom of range</link:label>
    <link:label id="lab_ifrs-full_BottomOfRangeMember_label_en-US" xlink:label="lab_ifrs-full_BottomOfRangeMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Bottom of range [member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_BottomOfRangeMember" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_BottomOfRangeMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_BottomOfRangeMember" xlink:to="lab_ifrs-full_BottomOfRangeMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_TransactionsWithShareholders_019fae60-c1ca-724f-911b-52af75879a1e_totalLabel_en-US" xlink:label="lab_lzm_TransactionsWithShareholders" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total transactions with shareholders</link:label>
    <link:label id="lab_lzm_TransactionsWithShareholders_label_en-US" xlink:label="lab_lzm_TransactionsWithShareholders" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Transactions With Shareholders</link:label>
    <link:label id="lab_lzm_TransactionsWithShareholders_documentation_en-US" xlink:label="lab_lzm_TransactionsWithShareholders" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Respective amount of the transactions with shareholders.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_TransactionsWithShareholders" xlink:href="lzm-20260930.xsd#lzm_TransactionsWithShareholders"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_TransactionsWithShareholders" xlink:to="lab_lzm_TransactionsWithShareholders" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_Accruals_019fae60-c1ca-7af0-a372-98c1114bbb4a_terseLabel_en-US" xlink:label="lab_ifrs-full_Accruals" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Accrued expenses</link:label>
    <link:label id="lab_ifrs-full_Accruals_label_en-US" xlink:label="lab_ifrs-full_Accruals" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Accruals</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_Accruals" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_Accruals"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_Accruals" xlink:to="lab_ifrs-full_Accruals" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_WeightedAverageGrantDateFairValueOtherEquityInstrumentsForfeited_019fae60-c253-790d-8e19-763b3017a2f4_terseLabel_en-US" xlink:label="lab_lzm_WeightedAverageGrantDateFairValueOtherEquityInstrumentsForfeited" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cancelled (in dollars per share)</link:label>
    <link:label id="lab_lzm_WeightedAverageGrantDateFairValueOtherEquityInstrumentsForfeited_label_en-US" xlink:label="lab_lzm_WeightedAverageGrantDateFairValueOtherEquityInstrumentsForfeited" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Weighted Average Grant Date Fair Value, Other Equity Instruments Forfeited</link:label>
    <link:label id="lab_lzm_WeightedAverageGrantDateFairValueOtherEquityInstrumentsForfeited_documentation_en-US" xlink:label="lab_lzm_WeightedAverageGrantDateFairValueOtherEquityInstrumentsForfeited" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Weighted Average Grant Date Fair Value, Other Equity Instruments Forfeited</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_WeightedAverageGrantDateFairValueOtherEquityInstrumentsForfeited" xlink:href="lzm-20260930.xsd#lzm_WeightedAverageGrantDateFairValueOtherEquityInstrumentsForfeited"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_WeightedAverageGrantDateFairValueOtherEquityInstrumentsForfeited" xlink:to="lab_lzm_WeightedAverageGrantDateFairValueOtherEquityInstrumentsForfeited" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_CategoriesOfRelatedPartiesAxis_019fae60-c133-7b8c-b230-4dd8deb286a7_terseLabel_en-US" xlink:label="lab_ifrs-full_CategoriesOfRelatedPartiesAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Categories of related parties [axis]</link:label>
    <link:label id="lab_ifrs-full_CategoriesOfRelatedPartiesAxis_label_en-US" xlink:label="lab_ifrs-full_CategoriesOfRelatedPartiesAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Categories of related parties [axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_CategoriesOfRelatedPartiesAxis" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_CategoriesOfRelatedPartiesAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_CategoriesOfRelatedPartiesAxis" xlink:to="lab_ifrs-full_CategoriesOfRelatedPartiesAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DescriptionOfAccountingPolicyForImpairmentOfNonfinancialAssetsExplanatory_019fae60-c1ca-7c25-b1ee-8752b3f0020d_terseLabel_en-US" xlink:label="lab_ifrs-full_DescriptionOfAccountingPolicyForImpairmentOfNonfinancialAssetsExplanatory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Basis of preparation</link:label>
    <link:label id="lab_ifrs-full_DescriptionOfAccountingPolicyForImpairmentOfNonfinancialAssetsExplanatory_label_en-US" xlink:label="lab_ifrs-full_DescriptionOfAccountingPolicyForImpairmentOfNonfinancialAssetsExplanatory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Description of accounting policy for impairment of non-financial assets [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DescriptionOfAccountingPolicyForImpairmentOfNonfinancialAssetsExplanatory" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DescriptionOfAccountingPolicyForImpairmentOfNonfinancialAssetsExplanatory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DescriptionOfAccountingPolicyForImpairmentOfNonfinancialAssetsExplanatory" xlink:to="lab_ifrs-full_DescriptionOfAccountingPolicyForImpairmentOfNonfinancialAssetsExplanatory" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfDetailedInformationAboutBorrowingsLineItems_01a15b1b-13df-77c8-8f69-75757ecc9f7c_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfDetailedInformationAboutBorrowingsLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Disclosure of detailed information about borrowings [line items]</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfDetailedInformationAboutBorrowingsLineItems_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfDetailedInformationAboutBorrowingsLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of detailed information about borrowings [line items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfDetailedInformationAboutBorrowingsLineItems" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfDetailedInformationAboutBorrowingsLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfDetailedInformationAboutBorrowingsLineItems" xlink:to="lab_ifrs-full_DisclosureOfDetailedInformationAboutBorrowingsLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ProfitLoss_019fae60-c1ca-7b4b-9be7-ba84f8f29eb6_terseLabel_en-US" xlink:label="lab_ifrs-full_ProfitLoss" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Loss for the period</link:label>
    <link:label id="lab_ifrs-full_ProfitLoss_019fae60-c1ca-71ff-94ac-39914084cec1_totalLabel_en-US" xlink:label="lab_ifrs-full_ProfitLoss" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Loss for the period</link:label>
    <link:label id="lab_ifrs-full_ProfitLoss_01a17a2f-680b-7668-92ba-8e9d8e2e2bf2_negatedLabel_en-US" xlink:label="lab_ifrs-full_ProfitLoss" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Loss for the period</link:label>
    <link:label id="lab_ifrs-full_ProfitLoss_label_en-US" xlink:label="lab_ifrs-full_ProfitLoss" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Profit (loss)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ProfitLoss" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ProfitLoss"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ProfitLoss" xlink:to="lab_ifrs-full_ProfitLoss" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ScheduleOfReconciliationOfShareholdersEquityMovementSharesRollForward_019fae60-c1ca-7a68-824c-82c883850ba0_terseLabel_en-US" xlink:label="lab_lzm_ScheduleOfReconciliationOfShareholdersEquityMovementSharesRollForward" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Number of Shares</link:label>
    <link:label id="lab_lzm_ScheduleOfReconciliationOfShareholdersEquityMovementSharesRollForward_label_en-US" xlink:label="lab_lzm_ScheduleOfReconciliationOfShareholdersEquityMovementSharesRollForward" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule of Reconciliation of Shareholders' Equity Movement, Shares [Roll Forward]</link:label>
    <link:label id="lab_lzm_ScheduleOfReconciliationOfShareholdersEquityMovementSharesRollForward_documentation_en-US" xlink:label="lab_lzm_ScheduleOfReconciliationOfShareholdersEquityMovementSharesRollForward" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Schedule of Reconciliation of Shareholders' Equity Movement, Shares</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ScheduleOfReconciliationOfShareholdersEquityMovementSharesRollForward" xlink:href="lzm-20260930.xsd#lzm_ScheduleOfReconciliationOfShareholdersEquityMovementSharesRollForward"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ScheduleOfReconciliationOfShareholdersEquityMovementSharesRollForward" xlink:to="lab_lzm_ScheduleOfReconciliationOfShareholdersEquityMovementSharesRollForward" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_Tranche2Member_019fae60-c253-7e72-bb86-ff7d9508b2eb_terseLabel_en-US" xlink:label="lab_lzm_Tranche2Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Tranche 2</link:label>
    <link:label id="lab_lzm_Tranche2Member_label_en-US" xlink:label="lab_lzm_Tranche2Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Tranche 2 [Member]</link:label>
    <link:label id="lab_lzm_Tranche2Member_documentation_en-US" xlink:label="lab_lzm_Tranche2Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Tranche 2</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_Tranche2Member" xlink:href="lzm-20260930.xsd#lzm_Tranche2Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_Tranche2Member" xlink:to="lab_lzm_Tranche2Member" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_LeaseTermOfExtension_019fae60-c253-7ba5-84c5-24daf630dcd4_terseLabel_en-US" xlink:label="lab_lzm_LeaseTermOfExtension" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Lifezone office lease term</link:label>
    <link:label id="lab_lzm_LeaseTermOfExtension_label_en-US" xlink:label="lab_lzm_LeaseTermOfExtension" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Lease, Term Of Extension</link:label>
    <link:label id="lab_lzm_LeaseTermOfExtension_documentation_en-US" xlink:label="lab_lzm_LeaseTermOfExtension" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Lease, Term Of Extension</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_LeaseTermOfExtension" xlink:href="lzm-20260930.xsd#lzm_LeaseTermOfExtension"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_LeaseTermOfExtension" xlink:to="lab_lzm_LeaseTermOfExtension" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_WeightedAverageExercisePriceOfShareOptionsGrantedInSharebasedPaymentArrangement2019_019fae60-c253-71cd-a339-a9d8b90f1913_terseLabel_en-US" xlink:label="lab_ifrs-full_WeightedAverageExercisePriceOfShareOptionsGrantedInSharebasedPaymentArrangement2019" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Granted (in dollars per share)</link:label>
    <link:label id="lab_ifrs-full_WeightedAverageExercisePriceOfShareOptionsGrantedInSharebasedPaymentArrangement2019_label_en-US" xlink:label="lab_ifrs-full_WeightedAverageExercisePriceOfShareOptionsGrantedInSharebasedPaymentArrangement2019" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Weighted average exercise price of share options granted in share-based payment arrangement</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_WeightedAverageExercisePriceOfShareOptionsGrantedInSharebasedPaymentArrangement2019" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_WeightedAverageExercisePriceOfShareOptionsGrantedInSharebasedPaymentArrangement2019"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_WeightedAverageExercisePriceOfShareOptionsGrantedInSharebasedPaymentArrangement2019" xlink:to="lab_ifrs-full_WeightedAverageExercisePriceOfShareOptionsGrantedInSharebasedPaymentArrangement2019" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ScheduleOfInterestIncomeTableTextBlock_019fae60-c133-7697-b852-1c11c1505f0a_terseLabel_en-US" xlink:label="lab_lzm_ScheduleOfInterestIncomeTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Interest Income</link:label>
    <link:label id="lab_lzm_ScheduleOfInterestIncomeTableTextBlock_label_en-US" xlink:label="lab_lzm_ScheduleOfInterestIncomeTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule Of Interest Income [Table Text Block]</link:label>
    <link:label id="lab_lzm_ScheduleOfInterestIncomeTableTextBlock_documentation_en-US" xlink:label="lab_lzm_ScheduleOfInterestIncomeTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Schedule Of Interest Income</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ScheduleOfInterestIncomeTableTextBlock" xlink:href="lzm-20260930.xsd#lzm_ScheduleOfInterestIncomeTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ScheduleOfInterestIncomeTableTextBlock" xlink:to="lab_lzm_ScheduleOfInterestIncomeTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_NumberOfSharesIssueOfSharesFromStockOptionsExercised_019fae60-c253-799f-809a-529d540edb97_terseLabel_en-US" xlink:label="lab_lzm_NumberOfSharesIssueOfSharesFromStockOptionsExercised" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Issuance of ordinary shares on exercise of stock options (in shares)</link:label>
    <link:label id="lab_lzm_NumberOfSharesIssueOfSharesFromStockOptionsExercised_label_en-US" xlink:label="lab_lzm_NumberOfSharesIssueOfSharesFromStockOptionsExercised" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number Of Shares Issue Of Shares From Stock Options Exercised</link:label>
    <link:label id="lab_lzm_NumberOfSharesIssueOfSharesFromStockOptionsExercised_documentation_en-US" xlink:label="lab_lzm_NumberOfSharesIssueOfSharesFromStockOptionsExercised" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Number Of Shares Issue Of Shares From Stock Options Exercised</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_NumberOfSharesIssueOfSharesFromStockOptionsExercised" xlink:href="lzm-20260930.xsd#lzm_NumberOfSharesIssueOfSharesFromStockOptionsExercised"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_NumberOfSharesIssueOfSharesFromStockOptionsExercised" xlink:to="lab_lzm_NumberOfSharesIssueOfSharesFromStockOptionsExercised" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_NoncurrentLiabilities_019fae60-c1ca-7402-93e5-52f43486bbd3_totalLabel_en-US" xlink:label="lab_ifrs-full_NoncurrentLiabilities" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Non-current liabilities</link:label>
    <link:label id="lab_ifrs-full_NoncurrentLiabilities_label_en-US" xlink:label="lab_ifrs-full_NoncurrentLiabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Non-current liabilities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_NoncurrentLiabilities" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_NoncurrentLiabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_NoncurrentLiabilities" xlink:to="lab_ifrs-full_NoncurrentLiabilities" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_NumberOfSharesIssued_019fae60-c1ca-7602-b1ca-8e0f466477e1_verboseLabel_en-US" xlink:label="lab_ifrs-full_NumberOfSharesIssued" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Shares issued (in Shares)</link:label>
    <link:label id="lab_ifrs-full_NumberOfSharesIssued_019fae60-c1ca-7ae9-9b64-fcb6f8f34c58_periodStartLabel_en-US" xlink:label="lab_ifrs-full_NumberOfSharesIssued" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:type="resource" xml:lang="en-US">Share capital, beginning (in shares)</link:label>
    <link:label id="lab_ifrs-full_NumberOfSharesIssued_019fae60-c1ca-7beb-87b0-96c626c5bd2c_periodEndLabel_en-US" xlink:label="lab_ifrs-full_NumberOfSharesIssued" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:type="resource" xml:lang="en-US">Ending balance (in shares)</link:label>
    <link:label id="lab_ifrs-full_NumberOfSharesIssued_019fae60-c1ca-78c9-a365-c7038b5e76a9_terseLabel_en-US" xlink:label="lab_ifrs-full_NumberOfSharesIssued" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Beginning balance (in shares)</link:label>
    <link:label id="lab_ifrs-full_NumberOfSharesIssued_label_en-US" xlink:label="lab_ifrs-full_NumberOfSharesIssued" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number of shares issued</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_NumberOfSharesIssued" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_NumberOfSharesIssued"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_NumberOfSharesIssued" xlink:to="lab_ifrs-full_NumberOfSharesIssued" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfContingentLiabilitiesExplanatory_019fae60-c133-7ccb-9880-ae435de56e45_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfContingentLiabilitiesExplanatory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Contingent liabilities</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfContingentLiabilitiesExplanatory_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfContingentLiabilitiesExplanatory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of contingent liabilities [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfContingentLiabilitiesExplanatory" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfContingentLiabilitiesExplanatory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfContingentLiabilitiesExplanatory" xlink:to="lab_ifrs-full_DisclosureOfContingentLiabilitiesExplanatory" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DirectorsRemunerationExpense_019fae60-c253-7a86-9e9a-6f41b386262a_terseLabel_en-US" xlink:label="lab_ifrs-full_DirectorsRemunerationExpense" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Directors&#8217; fees</link:label>
    <link:label id="lab_ifrs-full_DirectorsRemunerationExpense_label_en-US" xlink:label="lab_ifrs-full_DirectorsRemunerationExpense" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Directors' remuneration expense</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DirectorsRemunerationExpense" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DirectorsRemunerationExpense"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DirectorsRemunerationExpense" xlink:to="lab_ifrs-full_DirectorsRemunerationExpense" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_SecuredOvernightFinancingRateMember_019fae60-c253-76c9-b3b5-9809e29f9e58_terseLabel_en-US" xlink:label="lab_lzm_SecuredOvernightFinancingRateMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Secured Overnight Financing Rate</link:label>
    <link:label id="lab_lzm_SecuredOvernightFinancingRateMember_label_en-US" xlink:label="lab_lzm_SecuredOvernightFinancingRateMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Secured Overnight Financing Rate [Member]</link:label>
    <link:label id="lab_lzm_SecuredOvernightFinancingRateMember_documentation_en-US" xlink:label="lab_lzm_SecuredOvernightFinancingRateMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Secured Overnight Financing Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_SecuredOvernightFinancingRateMember" xlink:href="lzm-20260930.xsd#lzm_SecuredOvernightFinancingRateMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_SecuredOvernightFinancingRateMember" xlink:to="lab_lzm_SecuredOvernightFinancingRateMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfEntitysReportableSegmentsExplanatory_019fae60-c1ca-7a9f-afe2-26f70f41bbc9_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfEntitysReportableSegmentsExplanatory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Segment information</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfEntitysReportableSegmentsExplanatory_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfEntitysReportableSegmentsExplanatory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of entity's operating segments [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfEntitysReportableSegmentsExplanatory" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfEntitysReportableSegmentsExplanatory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfEntitysReportableSegmentsExplanatory" xlink:to="lab_ifrs-full_DisclosureOfEntitysReportableSegmentsExplanatory" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DepreciationRightofuseAssets_019fae60-c1ca-7f27-9595-de4dceb532d3_terseLabel_en-US" xlink:label="lab_ifrs-full_DepreciationRightofuseAssets" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Depreciation of right-of-use assets</link:label>
    <link:label id="lab_ifrs-full_DepreciationRightofuseAssets_label_en-US" xlink:label="lab_ifrs-full_DepreciationRightofuseAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Depreciation, right-of-use assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DepreciationRightofuseAssets" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DepreciationRightofuseAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DepreciationRightofuseAssets" xlink:to="lab_ifrs-full_DepreciationRightofuseAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_TechnicalAndLaboratoryServicesMember_019fae60-c253-77f3-97d7-b87a04b1b957_terseLabel_en-US" xlink:label="lab_lzm_TechnicalAndLaboratoryServicesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Technical and laboratory services revenue</link:label>
    <link:label id="lab_lzm_TechnicalAndLaboratoryServicesMember_label_en-US" xlink:label="lab_lzm_TechnicalAndLaboratoryServicesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Technical And Laboratory Services [Member]</link:label>
    <link:label id="lab_lzm_TechnicalAndLaboratoryServicesMember_documentation_en-US" xlink:label="lab_lzm_TechnicalAndLaboratoryServicesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Technical And Laboratory Services</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_TechnicalAndLaboratoryServicesMember" xlink:href="lzm-20260930.xsd#lzm_TechnicalAndLaboratoryServicesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_TechnicalAndLaboratoryServicesMember" xlink:to="lab_lzm_TechnicalAndLaboratoryServicesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_AccumulatedDepreciationAndAmortisationMember_019fae60-c133-7d4a-a7d9-ed0229b78027_terseLabel_en-US" xlink:label="lab_ifrs-full_AccumulatedDepreciationAndAmortisationMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Accumulated amortization</link:label>
    <link:label id="lab_ifrs-full_AccumulatedDepreciationAndAmortisationMember_label_en-US" xlink:label="lab_ifrs-full_AccumulatedDepreciationAndAmortisationMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Accumulated depreciation and amortisation [member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_AccumulatedDepreciationAndAmortisationMember" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_AccumulatedDepreciationAndAmortisationMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_AccumulatedDepreciationAndAmortisationMember" xlink:to="lab_ifrs-full_AccumulatedDepreciationAndAmortisationMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_RetainedEarningsMember_019fae60-c1ca-7d95-ac90-ca383f96b92d_terseLabel_en-US" xlink:label="lab_ifrs-full_RetainedEarningsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Accumulated Deficit</link:label>
    <link:label id="lab_ifrs-full_RetainedEarningsMember_label_en-US" xlink:label="lab_ifrs-full_RetainedEarningsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Retained earnings [member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_RetainedEarningsMember" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_RetainedEarningsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_RetainedEarningsMember" xlink:to="lab_ifrs-full_RetainedEarningsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfContingentLiabilitiesTable_019fae60-c133-7c82-8bac-3e8a1e2c5cb9_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfContingentLiabilitiesTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Disclosure of contingent liabilities [table]</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfContingentLiabilitiesTable_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfContingentLiabilitiesTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of contingent liabilities [table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfContingentLiabilitiesTable" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfContingentLiabilitiesTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfContingentLiabilitiesTable" xlink:to="lab_ifrs-full_DisclosureOfContingentLiabilitiesTable" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_NameOfParentEntity_019fae60-c1ca-74dc-a8b1-cbb730835683_terseLabel_en-US" xlink:label="lab_ifrs-full_NameOfParentEntity" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Related Person</link:label>
    <link:label id="lab_ifrs-full_NameOfParentEntity_label_en-US" xlink:label="lab_ifrs-full_NameOfParentEntity" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Name of parent entity</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_NameOfParentEntity" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_NameOfParentEntity"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_NameOfParentEntity" xlink:to="lab_ifrs-full_NameOfParentEntity" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ValueAddedTaxReceivables_019fae60-c1ca-73ef-846a-128b3aecade5_terseLabel_en-US" xlink:label="lab_ifrs-full_ValueAddedTaxReceivables" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">VAT/GST receivables</link:label>
    <link:label id="lab_ifrs-full_ValueAddedTaxReceivables_label_en-US" xlink:label="lab_ifrs-full_ValueAddedTaxReceivables" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Value added tax receivables</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ValueAddedTaxReceivables" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ValueAddedTaxReceivables"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ValueAddedTaxReceivables" xlink:to="lab_ifrs-full_ValueAddedTaxReceivables" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_TransactionCostsOnSeniorSecuredBridgeLoanFacility_019fae60-c253-7393-9762-602f757da380_negatedTerseLabel_en-US" xlink:label="lab_lzm_TransactionCostsOnSeniorSecuredBridgeLoanFacility" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Transaction costs on senior secured bridge loan facility</link:label>
    <link:label id="lab_lzm_TransactionCostsOnSeniorSecuredBridgeLoanFacility_label_en-US" xlink:label="lab_lzm_TransactionCostsOnSeniorSecuredBridgeLoanFacility" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Transaction Costs On Senior Secured Bridge Loan Facility</link:label>
    <link:label id="lab_lzm_TransactionCostsOnSeniorSecuredBridgeLoanFacility_documentation_en-US" xlink:label="lab_lzm_TransactionCostsOnSeniorSecuredBridgeLoanFacility" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Transaction Costs On Senior Secured Bridge Loan Facility</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_TransactionCostsOnSeniorSecuredBridgeLoanFacility" xlink:href="lzm-20260930.xsd#lzm_TransactionCostsOnSeniorSecuredBridgeLoanFacility"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_TransactionCostsOnSeniorSecuredBridgeLoanFacility" xlink:to="lab_lzm_TransactionCostsOnSeniorSecuredBridgeLoanFacility" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_PricePerShare_019fae60-c1ca-704b-a87c-2eec062680b9_terseLabel_en-US" xlink:label="lab_lzm_PricePerShare" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Price per share (in dollars per share)</link:label>
    <link:label id="lab_lzm_PricePerShare_label_en-US" xlink:label="lab_lzm_PricePerShare" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Price Per Share</link:label>
    <link:label id="lab_lzm_PricePerShare_documentation_en-US" xlink:label="lab_lzm_PricePerShare" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Price Per Share</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_PricePerShare" xlink:href="lzm-20260930.xsd#lzm_PricePerShare"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_PricePerShare" xlink:to="lab_lzm_PricePerShare" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DepreciationAndAmortisationExpense_019fae60-c133-756a-9e2a-e01f4b283a3d_negatedTerseLabel_en-US" xlink:label="lab_ifrs-full_DepreciationAndAmortisationExpense" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Depreciation and amortization</link:label>
    <link:label id="lab_ifrs-full_DepreciationAndAmortisationExpense_label_en-US" xlink:label="lab_ifrs-full_DepreciationAndAmortisationExpense" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Depreciation and amortisation expense</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DepreciationAndAmortisationExpense" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DepreciationAndAmortisationExpense"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DepreciationAndAmortisationExpense" xlink:to="lab_ifrs-full_DepreciationAndAmortisationExpense" xlink:type="arc" order="1"/>
    <link:label id="lab_currency_GBP_019fae60-c1ca-736d-9899-f90dacf8903c_terseLabel_en-US" xlink:label="lab_currency_GBP" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">GBP &#8211; Sterling</link:label>
    <link:label id="lab_currency_GBP_label_en-US" xlink:label="lab_currency_GBP" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">United Kingdom, Pounds</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_currency_GBP" xlink:href="https://xbrl.sec.gov/currency/2025/currency-2025.xsd#currency_GBP"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_currency_GBP" xlink:to="lab_currency_GBP" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_TaxRateEffectOfForeignTaxRates_019fae60-c133-741f-aad3-277c10be0d5e_terseLabel_en-US" xlink:label="lab_ifrs-full_TaxRateEffectOfForeignTaxRates" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Tax rate (as a percent)</link:label>
    <link:label id="lab_ifrs-full_TaxRateEffectOfForeignTaxRates_label_en-US" xlink:label="lab_ifrs-full_TaxRateEffectOfForeignTaxRates" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Tax rate effect of foreign tax rates</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_TaxRateEffectOfForeignTaxRates" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_TaxRateEffectOfForeignTaxRates"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_TaxRateEffectOfForeignTaxRates" xlink:to="lab_ifrs-full_TaxRateEffectOfForeignTaxRates" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_NumberOfPatents_019fae60-c133-74b1-b33f-3819da697fab_terseLabel_en-US" xlink:label="lab_lzm_NumberOfPatents" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Number of patents</link:label>
    <link:label id="lab_lzm_NumberOfPatents_label_en-US" xlink:label="lab_lzm_NumberOfPatents" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number Of Patents</link:label>
    <link:label id="lab_lzm_NumberOfPatents_documentation_en-US" xlink:label="lab_lzm_NumberOfPatents" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Number Of Patents</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_NumberOfPatents" xlink:href="lzm-20260930.xsd#lzm_NumberOfPatents"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_NumberOfPatents" xlink:to="lab_lzm_NumberOfPatents" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_BorrowingsCommitmentFeePercentage_019fae60-c1ca-7280-9fb0-dce5558b1ea7_terseLabel_en-US" xlink:label="lab_lzm_BorrowingsCommitmentFeePercentage" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Commitment fee percentage</link:label>
    <link:label id="lab_lzm_BorrowingsCommitmentFeePercentage_label_en-US" xlink:label="lab_lzm_BorrowingsCommitmentFeePercentage" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Borrowings, Commitment Fee Percentage</link:label>
    <link:label id="lab_lzm_BorrowingsCommitmentFeePercentage_documentation_en-US" xlink:label="lab_lzm_BorrowingsCommitmentFeePercentage" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Borrowings, Commitment Fee Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_BorrowingsCommitmentFeePercentage" xlink:href="lzm-20260930.xsd#lzm_BorrowingsCommitmentFeePercentage"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_BorrowingsCommitmentFeePercentage" xlink:to="lab_lzm_BorrowingsCommitmentFeePercentage" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_NumberOfWarrantsToBeIssued_019fae60-c1ca-76cb-96f7-e1971a798399_terseLabel_en-US" xlink:label="lab_lzm_NumberOfWarrantsToBeIssued" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Number of warrants to be issued</link:label>
    <link:label id="lab_lzm_NumberOfWarrantsToBeIssued_label_en-US" xlink:label="lab_lzm_NumberOfWarrantsToBeIssued" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number Of Warrants To Be Issued</link:label>
    <link:label id="lab_lzm_NumberOfWarrantsToBeIssued_documentation_en-US" xlink:label="lab_lzm_NumberOfWarrantsToBeIssued" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Number Of Warrants To Be Issued</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_NumberOfWarrantsToBeIssued" xlink:href="lzm-20260930.xsd#lzm_NumberOfWarrantsToBeIssued"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_NumberOfWarrantsToBeIssued" xlink:to="lab_lzm_NumberOfWarrantsToBeIssued" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_MoreThanTwoYearsMember_019fae60-c1ca-7cca-96b4-eb6052c2feab_terseLabel_en-US" xlink:label="lab_lzm_MoreThanTwoYearsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">More than two years</link:label>
    <link:label id="lab_lzm_MoreThanTwoYearsMember_label_en-US" xlink:label="lab_lzm_MoreThanTwoYearsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">More Than Two Years [Member]</link:label>
    <link:label id="lab_lzm_MoreThanTwoYearsMember_documentation_en-US" xlink:label="lab_lzm_MoreThanTwoYearsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">More Than Two Years</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_MoreThanTwoYearsMember" xlink:href="lzm-20260930.xsd#lzm_MoreThanTwoYearsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_MoreThanTwoYearsMember" xlink:to="lab_lzm_MoreThanTwoYearsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_CategoriesOfFinancialAssetsDomain_019fae60-c1ca-70e9-9bc0-ffea664557c8_terseLabel_en-US" xlink:label="lab_ifrs-full_CategoriesOfFinancialAssetsDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Categories of financial assets [domain]</link:label>
    <link:label id="lab_ifrs-full_CategoriesOfFinancialAssetsDomain_label_en-US" xlink:label="lab_ifrs-full_CategoriesOfFinancialAssetsDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Categories of financial assets [domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_CategoriesOfFinancialAssetsDomain" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_CategoriesOfFinancialAssetsDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_CategoriesOfFinancialAssetsDomain" xlink:to="lab_ifrs-full_CategoriesOfFinancialAssetsDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ProvisionsAbstract_019fae60-c1ca-7dfe-b3ab-af0d226a8030_terseLabel_en-US" xlink:label="lab_ifrs-full_ProvisionsAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Provisions [abstract]</link:label>
    <link:label id="lab_ifrs-full_ProvisionsAbstract_label_en-US" xlink:label="lab_ifrs-full_ProvisionsAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Provisions [abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ProvisionsAbstract" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ProvisionsAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ProvisionsAbstract" xlink:to="lab_ifrs-full_ProvisionsAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_CarryingAmountMember_019fae60-c1ca-7f15-b7e8-87003c760e60_terseLabel_en-US" xlink:label="lab_ifrs-full_CarryingAmountMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Carrying amount</link:label>
    <link:label id="lab_ifrs-full_CarryingAmountMember_label_en-US" xlink:label="lab_ifrs-full_CarryingAmountMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Carrying amount [member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_CarryingAmountMember" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_CarryingAmountMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_CarryingAmountMember" xlink:to="lab_ifrs-full_CarryingAmountMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ChangesInEquityAbstract_019fae60-c253-7441-9609-2ea40dcd02ed_terseLabel_en-US" xlink:label="lab_ifrs-full_ChangesInEquityAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Changes in equity [abstract]</link:label>
    <link:label id="lab_ifrs-full_ChangesInEquityAbstract_label_en-US" xlink:label="lab_ifrs-full_ChangesInEquityAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Changes in equity [abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ChangesInEquityAbstract" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ChangesInEquityAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ChangesInEquityAbstract" xlink:to="lab_ifrs-full_ChangesInEquityAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_KeyManagementPersonnelCompensationShorttermEmployeeBenefits_019fae60-c1ca-734f-9944-5aa8c4e0396f_terseLabel_en-US" xlink:label="lab_ifrs-full_KeyManagementPersonnelCompensationShorttermEmployeeBenefits" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Salary, wages and consultancy fees</link:label>
    <link:label id="lab_ifrs-full_KeyManagementPersonnelCompensationShorttermEmployeeBenefits_label_en-US" xlink:label="lab_ifrs-full_KeyManagementPersonnelCompensationShorttermEmployeeBenefits" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Key management personnel compensation, short-term employee benefits</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_KeyManagementPersonnelCompensationShorttermEmployeeBenefits" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_KeyManagementPersonnelCompensationShorttermEmployeeBenefits"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_KeyManagementPersonnelCompensationShorttermEmployeeBenefits" xlink:to="lab_ifrs-full_KeyManagementPersonnelCompensationShorttermEmployeeBenefits" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_IssuanceOfOrdinarySharesInConnectionWithRegisteredDirectOfferingShares_019fae60-c253-7b5e-8282-c38ef63d8509_terseLabel_en-US" xlink:label="lab_lzm_IssuanceOfOrdinarySharesInConnectionWithRegisteredDirectOfferingShares" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Issuance of ordinary shares in connection with registered direct offering (in shares)</link:label>
    <link:label id="lab_lzm_IssuanceOfOrdinarySharesInConnectionWithRegisteredDirectOfferingShares_label_en-US" xlink:label="lab_lzm_IssuanceOfOrdinarySharesInConnectionWithRegisteredDirectOfferingShares" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Issuance Of Ordinary Shares In Connection With Registered Direct Offering, Shares</link:label>
    <link:label id="lab_lzm_IssuanceOfOrdinarySharesInConnectionWithRegisteredDirectOfferingShares_documentation_en-US" xlink:label="lab_lzm_IssuanceOfOrdinarySharesInConnectionWithRegisteredDirectOfferingShares" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Issuance Of Ordinary Shares In Connection With Registered Direct Offering, Shares</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_IssuanceOfOrdinarySharesInConnectionWithRegisteredDirectOfferingShares" xlink:href="lzm-20260930.xsd#lzm_IssuanceOfOrdinarySharesInConnectionWithRegisteredDirectOfferingShares"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_IssuanceOfOrdinarySharesInConnectionWithRegisteredDirectOfferingShares" xlink:to="lab_lzm_IssuanceOfOrdinarySharesInConnectionWithRegisteredDirectOfferingShares" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_AwardVestingPeriod_019fae60-c1ca-7b21-977f-28871d64d7e7_terseLabel_en-US" xlink:label="lab_lzm_AwardVestingPeriod" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Award vesting period</link:label>
    <link:label id="lab_lzm_AwardVestingPeriod_label_en-US" xlink:label="lab_lzm_AwardVestingPeriod" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Award Vesting Period</link:label>
    <link:label id="lab_lzm_AwardVestingPeriod_documentation_en-US" xlink:label="lab_lzm_AwardVestingPeriod" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Award Vesting Period</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_AwardVestingPeriod" xlink:href="lzm-20260930.xsd#lzm_AwardVestingPeriod"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_AwardVestingPeriod" xlink:to="lab_lzm_AwardVestingPeriod" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_IssuanceOfWarrants_019fae60-c253-7021-9864-7ff0753b27e7_terseLabel_en-US" xlink:label="lab_lzm_IssuanceOfWarrants" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Issuance of warrants</link:label>
    <link:label id="lab_lzm_IssuanceOfWarrants_label_en-US" xlink:label="lab_lzm_IssuanceOfWarrants" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Issuance of Warrants</link:label>
    <link:label id="lab_lzm_IssuanceOfWarrants_documentation_en-US" xlink:label="lab_lzm_IssuanceOfWarrants" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Issuance of Warrants</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_IssuanceOfWarrants" xlink:href="lzm-20260930.xsd#lzm_IssuanceOfWarrants"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_IssuanceOfWarrants" xlink:to="lab_lzm_IssuanceOfWarrants" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_WarrantsIssuedAsPartOfBridgeLoanFacilityMember_019fae60-c253-7cea-b251-690604baefa9_terseLabel_en-US" xlink:label="lab_lzm_WarrantsIssuedAsPartOfBridgeLoanFacilityMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Warrants issued in connection with the 2025 Offering</link:label>
    <link:label id="lab_lzm_WarrantsIssuedAsPartOfBridgeLoanFacilityMember_label_en-US" xlink:label="lab_lzm_WarrantsIssuedAsPartOfBridgeLoanFacilityMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Warrants Issued As Part Of Bridge Loan Facility [Member]</link:label>
    <link:label id="lab_lzm_WarrantsIssuedAsPartOfBridgeLoanFacilityMember_documentation_en-US" xlink:label="lab_lzm_WarrantsIssuedAsPartOfBridgeLoanFacilityMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Warrants Issued As Part Of Bridge Loan Facility</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_WarrantsIssuedAsPartOfBridgeLoanFacilityMember" xlink:href="lzm-20260930.xsd#lzm_WarrantsIssuedAsPartOfBridgeLoanFacilityMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_WarrantsIssuedAsPartOfBridgeLoanFacilityMember" xlink:to="lab_lzm_WarrantsIssuedAsPartOfBridgeLoanFacilityMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_NumberOfShareOptionsForfeitedInSharebasedPaymentArrangement_019fae60-c253-75b1-ad58-166a784a9b90_negatedLabel_en-US" xlink:label="lab_ifrs-full_NumberOfShareOptionsForfeitedInSharebasedPaymentArrangement" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Forfeited (in shares)</link:label>
    <link:label id="lab_ifrs-full_NumberOfShareOptionsForfeitedInSharebasedPaymentArrangement_label_en-US" xlink:label="lab_ifrs-full_NumberOfShareOptionsForfeitedInSharebasedPaymentArrangement" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number of share options forfeited in share-based payment arrangement</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_NumberOfShareOptionsForfeitedInSharebasedPaymentArrangement" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_NumberOfShareOptionsForfeitedInSharebasedPaymentArrangement"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_NumberOfShareOptionsForfeitedInSharebasedPaymentArrangement" xlink:to="lab_ifrs-full_NumberOfShareOptionsForfeitedInSharebasedPaymentArrangement" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfTermsAndConditionsOfSharebasedPaymentArrangementAbstract_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfTermsAndConditionsOfSharebasedPaymentArrangementAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of terms and conditions of share-based payment arrangement [abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfTermsAndConditionsOfSharebasedPaymentArrangementAbstract" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfTermsAndConditionsOfSharebasedPaymentArrangementAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfTermsAndConditionsOfSharebasedPaymentArrangementAbstract" xlink:to="lab_ifrs-full_DisclosureOfTermsAndConditionsOfSharebasedPaymentArrangementAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_GrossCarryingAmountBalance_019fae60-c1ca-7f98-bf35-9b60064e3321_periodStartLabel_en-US" xlink:label="lab_lzm_GrossCarryingAmountBalance" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:type="resource" xml:lang="en-US">Beginning balance</link:label>
    <link:label id="lab_lzm_GrossCarryingAmountBalance_019fae60-c1ca-77f4-8460-d674d8b1a39d_periodEndLabel_en-US" xlink:label="lab_lzm_GrossCarryingAmountBalance" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:type="resource" xml:lang="en-US">Ending balance</link:label>
    <link:label id="lab_lzm_GrossCarryingAmountBalance_label_en-US" xlink:label="lab_lzm_GrossCarryingAmountBalance" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Gross Carrying Amount Balance</link:label>
    <link:label id="lab_lzm_GrossCarryingAmountBalance_documentation_en-US" xlink:label="lab_lzm_GrossCarryingAmountBalance" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Gross Carrying Amount Balance</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_GrossCarryingAmountBalance" xlink:href="lzm-20260930.xsd#lzm_GrossCarryingAmountBalance"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_GrossCarryingAmountBalance" xlink:to="lab_lzm_GrossCarryingAmountBalance" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfIndirectMeasurementOfFairValueOfGoodsOrServicesReceivedShareOptionsGrantedDuringPeriodExplanatory_019fae60-c253-7842-b7d3-388d9e80ba80_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfIndirectMeasurementOfFairValueOfGoodsOrServicesReceivedShareOptionsGrantedDuringPeriodExplanatory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Fair Value of the Options on the Grant Date Using the Black-scholes Option Pricing Model</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfIndirectMeasurementOfFairValueOfGoodsOrServicesReceivedShareOptionsGrantedDuringPeriodExplanatory_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfIndirectMeasurementOfFairValueOfGoodsOrServicesReceivedShareOptionsGrantedDuringPeriodExplanatory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of indirect measurement of fair value of goods or services received, share options granted during period [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfIndirectMeasurementOfFairValueOfGoodsOrServicesReceivedShareOptionsGrantedDuringPeriodExplanatory" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfIndirectMeasurementOfFairValueOfGoodsOrServicesReceivedShareOptionsGrantedDuringPeriodExplanatory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfIndirectMeasurementOfFairValueOfGoodsOrServicesReceivedShareOptionsGrantedDuringPeriodExplanatory" xlink:to="lab_ifrs-full_DisclosureOfIndirectMeasurementOfFairValueOfGoodsOrServicesReceivedShareOptionsGrantedDuringPeriodExplanatory" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_RightofuseAssets_019fae60-c1ca-73a8-8463-637f1325a3b8_terseLabel_en-US" xlink:label="lab_ifrs-full_RightofuseAssets" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Right-of-use assets</link:label>
    <link:label id="lab_ifrs-full_RightofuseAssets_label_en-US" xlink:label="lab_ifrs-full_RightofuseAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Right-of-use assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_RightofuseAssets" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_RightofuseAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_RightofuseAssets" xlink:to="lab_ifrs-full_RightofuseAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_PercentageOfVotingEquityInterestsAcquired_019fae60-c1ca-793a-8fc1-7d86fe55cdf9_terseLabel_en-US" xlink:label="lab_ifrs-full_PercentageOfVotingEquityInterestsAcquired" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest held</link:label>
    <link:label id="lab_ifrs-full_PercentageOfVotingEquityInterestsAcquired_label_en-US" xlink:label="lab_ifrs-full_PercentageOfVotingEquityInterestsAcquired" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Percentage of voting equity interests acquired</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_PercentageOfVotingEquityInterestsAcquired" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_PercentageOfVotingEquityInterestsAcquired"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_PercentageOfVotingEquityInterestsAcquired" xlink:to="lab_ifrs-full_PercentageOfVotingEquityInterestsAcquired" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_A2025StockOptionsGrantMember_019fae60-c253-7a34-b754-a16f935acd2b_terseLabel_en-US" xlink:label="lab_lzm_A2025StockOptionsGrantMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">2025 Stock Options Grant</link:label>
    <link:label id="lab_lzm_A2025StockOptionsGrantMember_label_en-US" xlink:label="lab_lzm_A2025StockOptionsGrantMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">2025 Stock Options Grant [Member]</link:label>
    <link:label id="lab_lzm_A2025StockOptionsGrantMember_documentation_en-US" xlink:label="lab_lzm_A2025StockOptionsGrantMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">2025 Stock Options Grant</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_A2025StockOptionsGrantMember" xlink:href="lzm-20260930.xsd#lzm_A2025StockOptionsGrantMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_A2025StockOptionsGrantMember" xlink:to="lab_lzm_A2025StockOptionsGrantMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_EvanYoungMember_019fae60-c1ca-767e-a08a-b1b241e31682_terseLabel_en-US" xlink:label="lab_lzm_EvanYoungMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Evan Young</link:label>
    <link:label id="lab_lzm_EvanYoungMember_label_en-US" xlink:label="lab_lzm_EvanYoungMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Evan Young [Member]</link:label>
    <link:label id="lab_lzm_EvanYoungMember_documentation_en-US" xlink:label="lab_lzm_EvanYoungMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Evan Young</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_EvanYoungMember" xlink:href="lzm-20260930.xsd#lzm_EvanYoungMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_EvanYoungMember" xlink:to="lab_lzm_EvanYoungMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfChangesInAccountingEstimatesTable_019fae60-c253-7f2d-93ae-9d20f7dd7682_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfChangesInAccountingEstimatesTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Disclosure of changes in accounting estimates [table]</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfChangesInAccountingEstimatesTable_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfChangesInAccountingEstimatesTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of changes in accounting estimates [table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfChangesInAccountingEstimatesTable" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfChangesInAccountingEstimatesTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfChangesInAccountingEstimatesTable" xlink:to="lab_ifrs-full_DisclosureOfChangesInAccountingEstimatesTable" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_IncreaseDecreaseThroughTreasuryShareTransactionsEquity_019fae60-c253-744a-b951-583a7aba1faf_terseLabel_en-US" xlink:label="lab_lzm_IncreaseDecreaseThroughTreasuryShareTransactionsEquity" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cancellation of ordinary shares</link:label>
    <link:label id="lab_lzm_IncreaseDecreaseThroughTreasuryShareTransactionsEquity_label_en-US" xlink:label="lab_lzm_IncreaseDecreaseThroughTreasuryShareTransactionsEquity" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Increase (Decrease) Through Treasury Share Transactions, Equity</link:label>
    <link:label id="lab_lzm_IncreaseDecreaseThroughTreasuryShareTransactionsEquity_documentation_en-US" xlink:label="lab_lzm_IncreaseDecreaseThroughTreasuryShareTransactionsEquity" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Increase (Decrease) Through Treasury Share Transactions, Equity</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_IncreaseDecreaseThroughTreasuryShareTransactionsEquity" xlink:href="lzm-20260930.xsd#lzm_IncreaseDecreaseThroughTreasuryShareTransactionsEquity"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_IncreaseDecreaseThroughTreasuryShareTransactionsEquity" xlink:to="lab_lzm_IncreaseDecreaseThroughTreasuryShareTransactionsEquity" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_EffectOnProfit_019fae60-c1ca-7ed7-8c6b-cbce4bf1db01_terseLabel_en-US" xlink:label="lab_lzm_EffectOnProfit" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Effect on Profit</link:label>
    <link:label id="lab_lzm_EffectOnProfit_label_en-US" xlink:label="lab_lzm_EffectOnProfit" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Effect On Profit</link:label>
    <link:label id="lab_lzm_EffectOnProfit_documentation_en-US" xlink:label="lab_lzm_EffectOnProfit" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Effect on Profit.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_EffectOnProfit" xlink:href="lzm-20260930.xsd#lzm_EffectOnProfit"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_EffectOnProfit" xlink:to="lab_lzm_EffectOnProfit" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_RemainingBalanceOfProvision_019fae60-c253-718d-8644-a598a43b1747_terseLabel_en-US" xlink:label="lab_lzm_RemainingBalanceOfProvision" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Remaining balance of provision</link:label>
    <link:label id="lab_lzm_RemainingBalanceOfProvision_label_en-US" xlink:label="lab_lzm_RemainingBalanceOfProvision" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Remaining Balance Of Provision</link:label>
    <link:label id="lab_lzm_RemainingBalanceOfProvision_documentation_en-US" xlink:label="lab_lzm_RemainingBalanceOfProvision" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Remaining Balance Of Provision</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_RemainingBalanceOfProvision" xlink:href="lzm-20260930.xsd#lzm_RemainingBalanceOfProvision"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_RemainingBalanceOfProvision" xlink:to="lab_lzm_RemainingBalanceOfProvision" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ExpenseRelatingToShorttermLeasesForWhichRecognitionExemptionHasBeenUsed_019fae60-c133-76cb-84bb-bfed937b9771_terseLabel_en-US" xlink:label="lab_ifrs-full_ExpenseRelatingToShorttermLeasesForWhichRecognitionExemptionHasBeenUsed" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Short-term leases expense</link:label>
    <link:label id="lab_ifrs-full_ExpenseRelatingToShorttermLeasesForWhichRecognitionExemptionHasBeenUsed_label_en-US" xlink:label="lab_ifrs-full_ExpenseRelatingToShorttermLeasesForWhichRecognitionExemptionHasBeenUsed" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Expense relating to short-term leases for which recognition exemption has been used</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ExpenseRelatingToShorttermLeasesForWhichRecognitionExemptionHasBeenUsed" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ExpenseRelatingToShorttermLeasesForWhichRecognitionExemptionHasBeenUsed"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ExpenseRelatingToShorttermLeasesForWhichRecognitionExemptionHasBeenUsed" xlink:to="lab_ifrs-full_ExpenseRelatingToShorttermLeasesForWhichRecognitionExemptionHasBeenUsed" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ValueOfWarrantsIssued_019fae60-c253-7e5b-9f54-13c4bf9cdcaa_terseLabel_en-US" xlink:label="lab_lzm_ValueOfWarrantsIssued" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Additions</link:label>
    <link:label id="lab_lzm_ValueOfWarrantsIssued_label_en-US" xlink:label="lab_lzm_ValueOfWarrantsIssued" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Value Of Warrants Issued</link:label>
    <link:label id="lab_lzm_ValueOfWarrantsIssued_documentation_en-US" xlink:label="lab_lzm_ValueOfWarrantsIssued" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Value Of Warrants Issued</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ValueOfWarrantsIssued" xlink:href="lzm-20260930.xsd#lzm_ValueOfWarrantsIssued"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ValueOfWarrantsIssued" xlink:to="lab_lzm_ValueOfWarrantsIssued" xlink:type="arc" order="1"/>
    <link:label id="lab_country_TZ_019fae60-c1ca-7353-b91d-9e15b9c59f2a_terseLabel_en-US" xlink:label="lab_country_TZ" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Tanzania</link:label>
    <link:label id="lab_country_TZ_label_en-US" xlink:label="lab_country_TZ" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">TANZANIA, UNITED REPUBLIC OF</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_country_TZ" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_TZ"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_country_TZ" xlink:to="lab_country_TZ" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_NumberOfShareOptionsExercisedInSharebasedPaymentArrangement_019fae60-c253-733f-9e03-fd6c4c20fee1_negatedTerseLabel_en-US" xlink:label="lab_ifrs-full_NumberOfShareOptionsExercisedInSharebasedPaymentArrangement" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Exercised (in shares)</link:label>
    <link:label id="lab_ifrs-full_NumberOfShareOptionsExercisedInSharebasedPaymentArrangement_label_en-US" xlink:label="lab_ifrs-full_NumberOfShareOptionsExercisedInSharebasedPaymentArrangement" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number of share options exercised in share-based payment arrangement</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_NumberOfShareOptionsExercisedInSharebasedPaymentArrangement" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_NumberOfShareOptionsExercisedInSharebasedPaymentArrangement"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_NumberOfShareOptionsExercisedInSharebasedPaymentArrangement" xlink:to="lab_ifrs-full_NumberOfShareOptionsExercisedInSharebasedPaymentArrangement" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_DeferredConsideration_019fae60-c253-7895-8f91-8dadd82f9a70_terseLabel_en-US" xlink:label="lab_lzm_DeferredConsideration" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Deferred consideration</link:label>
    <link:label id="lab_lzm_DeferredConsideration_label_en-US" xlink:label="lab_lzm_DeferredConsideration" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Deferred Consideration</link:label>
    <link:label id="lab_lzm_DeferredConsideration_documentation_en-US" xlink:label="lab_lzm_DeferredConsideration" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Deferred Consideration</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_DeferredConsideration" xlink:href="lzm-20260930.xsd#lzm_DeferredConsideration"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_DeferredConsideration" xlink:to="lab_lzm_DeferredConsideration" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfBasisOfConsolidationExplanatory_019fae60-c133-7f6e-b955-a0158f8eee75_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfBasisOfConsolidationExplanatory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Basis of consolidation</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfBasisOfConsolidationExplanatory_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfBasisOfConsolidationExplanatory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of basis of consolidation [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfBasisOfConsolidationExplanatory" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfBasisOfConsolidationExplanatory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfBasisOfConsolidationExplanatory" xlink:to="lab_ifrs-full_DisclosureOfBasisOfConsolidationExplanatory" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_TypesOfAntidilutiveInstrumentsDomain_019fae60-c1ca-77a1-a6aa-d0f148488b69_terseLabel_en-US" xlink:label="lab_ifrs-full_TypesOfAntidilutiveInstrumentsDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Types of antidilutive instruments [domain]</link:label>
    <link:label id="lab_ifrs-full_TypesOfAntidilutiveInstrumentsDomain_label_en-US" xlink:label="lab_ifrs-full_TypesOfAntidilutiveInstrumentsDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Types of antidilutive instruments [domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_TypesOfAntidilutiveInstrumentsDomain" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_TypesOfAntidilutiveInstrumentsDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_TypesOfAntidilutiveInstrumentsDomain" xlink:to="lab_ifrs-full_TypesOfAntidilutiveInstrumentsDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_Equity_019fae60-c1ca-7dff-910e-26dfa339bb83_totalLabel_en-US" xlink:label="lab_ifrs-full_Equity" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total equity</link:label>
    <link:label id="lab_ifrs-full_Equity_019fae60-c1ca-7552-82fa-acf40bad1d9c_periodStartLabel_en-US" xlink:label="lab_ifrs-full_Equity" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:type="resource" xml:lang="en-US">Balance</link:label>
    <link:label id="lab_ifrs-full_Equity_019fae60-c1ca-74fb-92a7-a0f6d4e81aef_periodEndLabel_en-US" xlink:label="lab_ifrs-full_Equity" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:type="resource" xml:lang="en-US">Balance</link:label>
    <link:label id="lab_ifrs-full_Equity_label_en-US" xlink:label="lab_ifrs-full_Equity" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_Equity" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_Equity"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_Equity" xlink:to="lab_ifrs-full_Equity" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_Tranche1Member_019fae60-c133-75e3-9f34-ec485672a60d_terseLabel_en-US" xlink:label="lab_lzm_Tranche1Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Tranche 1</link:label>
    <link:label id="lab_lzm_Tranche1Member_label_en-US" xlink:label="lab_lzm_Tranche1Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Tranche 1 [Member]</link:label>
    <link:label id="lab_lzm_Tranche1Member_documentation_en-US" xlink:label="lab_lzm_Tranche1Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Tranche 1</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_Tranche1Member" xlink:href="lzm-20260930.xsd#lzm_Tranche1Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_Tranche1Member" xlink:to="lab_lzm_Tranche1Member" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_PropertyPlantAndEquipment_019fae60-c133-7acb-baff-27af8e90a7cc_terseLabel_en-US" xlink:label="lab_ifrs-full_PropertyPlantAndEquipment" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Property and equipment</link:label>
    <link:label id="lab_ifrs-full_PropertyPlantAndEquipment_label_en-US" xlink:label="lab_ifrs-full_PropertyPlantAndEquipment" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Property, plant and equipment</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_PropertyPlantAndEquipment" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_PropertyPlantAndEquipment"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_PropertyPlantAndEquipment" xlink:to="lab_ifrs-full_PropertyPlantAndEquipment" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_IntangibleExplorationAndEvaluationAssets_019fae60-c1ca-7519-abec-9a6dadb10e99_terseLabel_en-US" xlink:label="lab_ifrs-full_IntangibleExplorationAndEvaluationAssets" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Exploration and evaluation assets and mining data</link:label>
    <link:label id="lab_ifrs-full_IntangibleExplorationAndEvaluationAssets_019fae60-c1ca-7338-a150-8f8d65ed8fe2_periodStartLabel_en-US" xlink:label="lab_ifrs-full_IntangibleExplorationAndEvaluationAssets" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:type="resource" xml:lang="en-US">Beginning balance</link:label>
    <link:label id="lab_ifrs-full_IntangibleExplorationAndEvaluationAssets_019fae60-c1ca-7518-af1a-4ac87c81bd17_periodEndLabel_en-US" xlink:label="lab_ifrs-full_IntangibleExplorationAndEvaluationAssets" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:type="resource" xml:lang="en-US">Ending balance</link:label>
    <link:label id="lab_ifrs-full_IntangibleExplorationAndEvaluationAssets_label_en-US" xlink:label="lab_ifrs-full_IntangibleExplorationAndEvaluationAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Intangible exploration and evaluation assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_IntangibleExplorationAndEvaluationAssets" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_IntangibleExplorationAndEvaluationAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_IntangibleExplorationAndEvaluationAssets" xlink:to="lab_ifrs-full_IntangibleExplorationAndEvaluationAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_GrossProfit_019fae60-c133-7fa4-bda5-dd731495603c_totalLabel_en-US" xlink:label="lab_ifrs-full_GrossProfit" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Gross profit</link:label>
    <link:label id="lab_ifrs-full_GrossProfit_label_en-US" xlink:label="lab_ifrs-full_GrossProfit" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Gross profit</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_GrossProfit" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_GrossProfit"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_GrossProfit" xlink:to="lab_ifrs-full_GrossProfit" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_CorporateSegmentMember_019fae60-c1ca-7661-a6ce-73769ad8f4ab_terseLabel_en-US" xlink:label="lab_lzm_CorporateSegmentMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Corporate</link:label>
    <link:label id="lab_lzm_CorporateSegmentMember_label_en-US" xlink:label="lab_lzm_CorporateSegmentMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Corporate Segment [Member]</link:label>
    <link:label id="lab_lzm_CorporateSegmentMember_documentation_en-US" xlink:label="lab_lzm_CorporateSegmentMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Corporate Segment</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_CorporateSegmentMember" xlink:href="lzm-20260930.xsd#lzm_CorporateSegmentMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_CorporateSegmentMember" xlink:to="lab_lzm_CorporateSegmentMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_OtherReceivables_019fae60-c1ca-7d67-89fe-9a708c61f4d7_terseLabel_en-US" xlink:label="lab_ifrs-full_OtherReceivables" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Other receivables</link:label>
    <link:label id="lab_ifrs-full_OtherReceivables_label_en-US" xlink:label="lab_ifrs-full_OtherReceivables" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Other receivables</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_OtherReceivables" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_OtherReceivables"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_OtherReceivables" xlink:to="lab_ifrs-full_OtherReceivables" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_NumberOfSharesIssuedDuringTheYear_019fae60-c253-74f9-af8a-e4bb91d94d58_terseLabel_en-US" xlink:label="lab_lzm_NumberOfSharesIssuedDuringTheYear" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Issued (in years)</link:label>
    <link:label id="lab_lzm_NumberOfSharesIssuedDuringTheYear_label_en-US" xlink:label="lab_lzm_NumberOfSharesIssuedDuringTheYear" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number Of Shares Issued During The Year</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_NumberOfSharesIssuedDuringTheYear" xlink:href="lzm-20260930.xsd#lzm_NumberOfSharesIssuedDuringTheYear"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_NumberOfSharesIssuedDuringTheYear" xlink:to="lab_lzm_NumberOfSharesIssuedDuringTheYear" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_DisclosureOfGeneralAndAdministrativeExpenseTableTextBlock_019fae60-c253-7aaa-a1ef-75c5701a6311_terseLabel_en-US" xlink:label="lab_lzm_DisclosureOfGeneralAndAdministrativeExpenseTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of General and Administrative Expenses</link:label>
    <link:label id="lab_lzm_DisclosureOfGeneralAndAdministrativeExpenseTableTextBlock_label_en-US" xlink:label="lab_lzm_DisclosureOfGeneralAndAdministrativeExpenseTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure Of General And Administrative Expense [Table Text Block]</link:label>
    <link:label id="lab_lzm_DisclosureOfGeneralAndAdministrativeExpenseTableTextBlock_documentation_en-US" xlink:label="lab_lzm_DisclosureOfGeneralAndAdministrativeExpenseTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">The disclosure of general and administrative expense</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_DisclosureOfGeneralAndAdministrativeExpenseTableTextBlock" xlink:href="lzm-20260930.xsd#lzm_DisclosureOfGeneralAndAdministrativeExpenseTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_DisclosureOfGeneralAndAdministrativeExpenseTableTextBlock" xlink:to="lab_lzm_DisclosureOfGeneralAndAdministrativeExpenseTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_FairValueReassessment_019fae60-c253-7ce7-9397-a04d051b0ddd_terseLabel_en-US" xlink:label="lab_lzm_FairValueReassessment" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair value reassessment</link:label>
    <link:label id="lab_lzm_FairValueReassessment_label_en-US" xlink:label="lab_lzm_FairValueReassessment" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value Reassessment</link:label>
    <link:label id="lab_lzm_FairValueReassessment_documentation_en-US" xlink:label="lab_lzm_FairValueReassessment" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Fair value reassessment.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_FairValueReassessment" xlink:href="lzm-20260930.xsd#lzm_FairValueReassessment"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_FairValueReassessment" xlink:to="lab_lzm_FairValueReassessment" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_OtherMaterialActuarialAssumptionsMember_019fae60-c253-70e4-9308-b516d893c64f_terseLabel_en-US" xlink:label="lab_ifrs-full_OtherMaterialActuarialAssumptionsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Other material actuarial assumptions</link:label>
    <link:label id="lab_ifrs-full_OtherMaterialActuarialAssumptionsMember_label_en-US" xlink:label="lab_ifrs-full_OtherMaterialActuarialAssumptionsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Other material actuarial assumptions [member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_OtherMaterialActuarialAssumptionsMember" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_OtherMaterialActuarialAssumptionsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_OtherMaterialActuarialAssumptionsMember" xlink:to="lab_ifrs-full_OtherMaterialActuarialAssumptionsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_GainLossOnRemeasurementOfDeferredConsideration_019fae60-c253-7457-8d8f-c7cb0e73f012_negatedTerseLabel_en-US" xlink:label="lab_lzm_GainLossOnRemeasurementOfDeferredConsideration" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">(Gain) loss on remeasurement of deferred consideration</link:label>
    <link:label id="lab_lzm_GainLossOnRemeasurementOfDeferredConsideration_019fae60-c253-7dea-8049-abb1b2e108a2_verboseLabel_en-US" xlink:label="lab_lzm_GainLossOnRemeasurementOfDeferredConsideration" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Fair value gain on deferred consideration</link:label>
    <link:label id="lab_lzm_GainLossOnRemeasurementOfDeferredConsideration_label_en-US" xlink:label="lab_lzm_GainLossOnRemeasurementOfDeferredConsideration" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Gain (Loss) On Remeasurement Of Deferred Consideration</link:label>
    <link:label id="lab_lzm_GainLossOnRemeasurementOfDeferredConsideration_documentation_en-US" xlink:label="lab_lzm_GainLossOnRemeasurementOfDeferredConsideration" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Gain (Loss) On Remeasurement Of Deferred Consideration</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_GainLossOnRemeasurementOfDeferredConsideration" xlink:href="lzm-20260930.xsd#lzm_GainLossOnRemeasurementOfDeferredConsideration"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_GainLossOnRemeasurementOfDeferredConsideration" xlink:to="lab_lzm_GainLossOnRemeasurementOfDeferredConsideration" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_NumberOfShareOptionsGrantedInSharebasedPaymentArrangement_019fae60-c1ca-729b-821d-82e88cc67b3f_terseLabel_en-US" xlink:label="lab_ifrs-full_NumberOfShareOptionsGrantedInSharebasedPaymentArrangement" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Share options granted (in shares)</link:label>
    <link:label id="lab_ifrs-full_NumberOfShareOptionsGrantedInSharebasedPaymentArrangement_019fae60-c1ca-7a7f-bd8d-f8f3cadcac43_verboseLabel_en-US" xlink:label="lab_ifrs-full_NumberOfShareOptionsGrantedInSharebasedPaymentArrangement" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Granted (in shares)</link:label>
    <link:label id="lab_ifrs-full_NumberOfShareOptionsGrantedInSharebasedPaymentArrangement_label_en-US" xlink:label="lab_ifrs-full_NumberOfShareOptionsGrantedInSharebasedPaymentArrangement" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number of share options granted in share-based payment arrangement</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_NumberOfShareOptionsGrantedInSharebasedPaymentArrangement" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_NumberOfShareOptionsGrantedInSharebasedPaymentArrangement"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_NumberOfShareOptionsGrantedInSharebasedPaymentArrangement" xlink:to="lab_ifrs-full_NumberOfShareOptionsGrantedInSharebasedPaymentArrangement" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_WarrantTerm_019fae60-c253-7968-98eb-8bc28e4f5b57_terseLabel_en-US" xlink:label="lab_lzm_WarrantTerm" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Warrant term</link:label>
    <link:label id="lab_lzm_WarrantTerm_label_en-US" xlink:label="lab_lzm_WarrantTerm" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Warrant Term</link:label>
    <link:label id="lab_lzm_WarrantTerm_documentation_en-US" xlink:label="lab_lzm_WarrantTerm" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Warrant Term</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_WarrantTerm" xlink:href="lzm-20260930.xsd#lzm_WarrantTerm"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_WarrantTerm" xlink:to="lab_lzm_WarrantTerm" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfPropertyPlantAndEquipmentLineItems_019fae60-c253-7ad1-addb-e15303d985ff_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfPropertyPlantAndEquipmentLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Disclosure of detailed information about property, plant and equipment [line items]</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfPropertyPlantAndEquipmentLineItems_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfPropertyPlantAndEquipmentLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of detailed information about property, plant and equipment [line items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfPropertyPlantAndEquipmentLineItems" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfPropertyPlantAndEquipmentLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfPropertyPlantAndEquipmentLineItems" xlink:to="lab_ifrs-full_DisclosureOfPropertyPlantAndEquipmentLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_EstimatedFinancialEffectOfContingentLiabilitiesAllegedUnpaidTaxes_019fae60-c1ca-79aa-bda4-82992519a531_terseLabel_en-US" xlink:label="lab_lzm_EstimatedFinancialEffectOfContingentLiabilitiesAllegedUnpaidTaxes" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Unpaid taxes</link:label>
    <link:label id="lab_lzm_EstimatedFinancialEffectOfContingentLiabilitiesAllegedUnpaidTaxes_label_en-US" xlink:label="lab_lzm_EstimatedFinancialEffectOfContingentLiabilitiesAllegedUnpaidTaxes" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Estimated Financial Effect Of Contingent Liabilities, Alleged Unpaid Taxes</link:label>
    <link:label id="lab_lzm_EstimatedFinancialEffectOfContingentLiabilitiesAllegedUnpaidTaxes_documentation_en-US" xlink:label="lab_lzm_EstimatedFinancialEffectOfContingentLiabilitiesAllegedUnpaidTaxes" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Estimated Financial Effect Of Contingent Liabilities, Alleged Unpaid Taxes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_EstimatedFinancialEffectOfContingentLiabilitiesAllegedUnpaidTaxes" xlink:href="lzm-20260930.xsd#lzm_EstimatedFinancialEffectOfContingentLiabilitiesAllegedUnpaidTaxes"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_EstimatedFinancialEffectOfContingentLiabilitiesAllegedUnpaidTaxes" xlink:to="lab_lzm_EstimatedFinancialEffectOfContingentLiabilitiesAllegedUnpaidTaxes" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ContingentConsiderationAbstract_019fae60-c253-7d46-a73c-6a7c7b160bcd_terseLabel_en-US" xlink:label="lab_lzm_ContingentConsiderationAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Contingent Consideration [Abstract]</link:label>
    <link:label id="lab_lzm_ContingentConsiderationAbstract_label_en-US" xlink:label="lab_lzm_ContingentConsiderationAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Contingent Consideration [Abstract]</link:label>
    <link:label id="lab_lzm_ContingentConsiderationAbstract_documentation_en-US" xlink:label="lab_lzm_ContingentConsiderationAbstract" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Contingent Consideration</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ContingentConsiderationAbstract" xlink:href="lzm-20260930.xsd#lzm_ContingentConsiderationAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ContingentConsiderationAbstract" xlink:to="lab_lzm_ContingentConsiderationAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_UndrawnBorrowingFacilities_019fae60-c253-720a-8407-4dcf401a78ea_terseLabel_en-US" xlink:label="lab_ifrs-full_UndrawnBorrowingFacilities" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Undrawn borrowing facilities</link:label>
    <link:label id="lab_ifrs-full_UndrawnBorrowingFacilities_019fae60-c253-7adb-be26-e2580e3fc37b_periodStartLabel_en-US" xlink:label="lab_ifrs-full_UndrawnBorrowingFacilities" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:type="resource" xml:lang="en-US">Beginning balance</link:label>
    <link:label id="lab_ifrs-full_UndrawnBorrowingFacilities_019fae60-c253-7c99-aa0c-59dab0a0d806_periodEndLabel_en-US" xlink:label="lab_ifrs-full_UndrawnBorrowingFacilities" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:type="resource" xml:lang="en-US">Ending balance</link:label>
    <link:label id="lab_ifrs-full_UndrawnBorrowingFacilities_label_en-US" xlink:label="lab_ifrs-full_UndrawnBorrowingFacilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Undrawn borrowing facilities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_UndrawnBorrowingFacilities" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_UndrawnBorrowingFacilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_UndrawnBorrowingFacilities" xlink:to="lab_ifrs-full_UndrawnBorrowingFacilities" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfNonadjustingEventsAfterReportingPeriodAbstract_019fae60-c1ca-7ff9-8996-6672cff5ad09_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfNonadjustingEventsAfterReportingPeriodAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Disclosure of non-adjusting events after reporting period [abstract]</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfNonadjustingEventsAfterReportingPeriodAbstract_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfNonadjustingEventsAfterReportingPeriodAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of non-adjusting events after reporting period [abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfNonadjustingEventsAfterReportingPeriodAbstract" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfNonadjustingEventsAfterReportingPeriodAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfNonadjustingEventsAfterReportingPeriodAbstract" xlink:to="lab_ifrs-full_DisclosureOfNonadjustingEventsAfterReportingPeriodAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ScheduleOfLiquidityRiskLineItems_019fae60-c253-776b-9c11-5f1962bf567b_terseLabel_en-US" xlink:label="lab_lzm_ScheduleOfLiquidityRiskLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Disclosure of financial assets [line items]</link:label>
    <link:label id="lab_lzm_ScheduleOfLiquidityRiskLineItems_label_en-US" xlink:label="lab_lzm_ScheduleOfLiquidityRiskLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule of Liquidity Risk [Line Items]</link:label>
    <link:label id="lab_lzm_ScheduleOfLiquidityRiskLineItems_documentation_en-US" xlink:label="lab_lzm_ScheduleOfLiquidityRiskLineItems" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Schedule of Liquidity Risk</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ScheduleOfLiquidityRiskLineItems" xlink:href="lzm-20260930.xsd#lzm_ScheduleOfLiquidityRiskLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ScheduleOfLiquidityRiskLineItems" xlink:to="lab_lzm_ScheduleOfLiquidityRiskLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_WeightedAverageExercisePriceOfShareOptionsOutstandingInSharebasedPaymentArrangement2019_019fae60-c253-7fc0-beec-50a1cb2aa23a_periodStartLabel_en-US" xlink:label="lab_ifrs-full_WeightedAverageExercisePriceOfShareOptionsOutstandingInSharebasedPaymentArrangement2019" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:type="resource" xml:lang="en-US">Beginning balance (in dollars per share)</link:label>
    <link:label id="lab_ifrs-full_WeightedAverageExercisePriceOfShareOptionsOutstandingInSharebasedPaymentArrangement2019_019fae60-c253-7714-b69b-c4dcde4f3ed0_periodEndLabel_en-US" xlink:label="lab_ifrs-full_WeightedAverageExercisePriceOfShareOptionsOutstandingInSharebasedPaymentArrangement2019" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:type="resource" xml:lang="en-US">Ending balance (in dollars per share)</link:label>
    <link:label id="lab_ifrs-full_WeightedAverageExercisePriceOfShareOptionsOutstandingInSharebasedPaymentArrangement2019_label_en-US" xlink:label="lab_ifrs-full_WeightedAverageExercisePriceOfShareOptionsOutstandingInSharebasedPaymentArrangement2019" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Weighted average exercise price of share options outstanding in share-based payment arrangement</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_WeightedAverageExercisePriceOfShareOptionsOutstandingInSharebasedPaymentArrangement2019" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_WeightedAverageExercisePriceOfShareOptionsOutstandingInSharebasedPaymentArrangement2019"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_WeightedAverageExercisePriceOfShareOptionsOutstandingInSharebasedPaymentArrangement2019" xlink:to="lab_ifrs-full_WeightedAverageExercisePriceOfShareOptionsOutstandingInSharebasedPaymentArrangement2019" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ProfitLossAttributableToOwnersOfParent_019fae60-c1ca-713a-b963-49b1684f97eb_terseLabel_en-US" xlink:label="lab_ifrs-full_ProfitLossAttributableToOwnersOfParent" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Attributable to ordinary shareholders of Lifezone Metals</link:label>
    <link:label id="lab_ifrs-full_ProfitLossAttributableToOwnersOfParent_label_en-US" xlink:label="lab_ifrs-full_ProfitLossAttributableToOwnersOfParent" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Profit (loss), attributable to owners of parent</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ProfitLossAttributableToOwnersOfParent" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ProfitLossAttributableToOwnersOfParent"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ProfitLossAttributableToOwnersOfParent" xlink:to="lab_ifrs-full_ProfitLossAttributableToOwnersOfParent" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ScheduleOfDemonstratesTheEstimatedSensitivityLineItems_019fae60-c253-7fde-a75b-c32116fbe8ac_terseLabel_en-US" xlink:label="lab_lzm_ScheduleOfDemonstratesTheEstimatedSensitivityLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Disclosure of financial assets [line items]</link:label>
    <link:label id="lab_lzm_ScheduleOfDemonstratesTheEstimatedSensitivityLineItems_label_en-US" xlink:label="lab_lzm_ScheduleOfDemonstratesTheEstimatedSensitivityLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule of Demonstrates the Estimated Sensitivity [Line Items]</link:label>
    <link:label id="lab_lzm_ScheduleOfDemonstratesTheEstimatedSensitivityLineItems_documentation_en-US" xlink:label="lab_lzm_ScheduleOfDemonstratesTheEstimatedSensitivityLineItems" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Schedule of Demonstrates the Estimated Sensitivity</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ScheduleOfDemonstratesTheEstimatedSensitivityLineItems" xlink:href="lzm-20260930.xsd#lzm_ScheduleOfDemonstratesTheEstimatedSensitivityLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ScheduleOfDemonstratesTheEstimatedSensitivityLineItems" xlink:to="lab_lzm_ScheduleOfDemonstratesTheEstimatedSensitivityLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_MaximumAmountOfPaymentForContingentConsiderationArrangements_019fae60-c133-7e37-a0b7-fa308e8b4fff_terseLabel_en-US" xlink:label="lab_lzm_MaximumAmountOfPaymentForContingentConsiderationArrangements" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Maximum amount of payment for contingent consideration arrangements</link:label>
    <link:label id="lab_lzm_MaximumAmountOfPaymentForContingentConsiderationArrangements_label_en-US" xlink:label="lab_lzm_MaximumAmountOfPaymentForContingentConsiderationArrangements" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Maximum Amount Of Payment For Contingent Consideration Arrangements</link:label>
    <link:label id="lab_lzm_MaximumAmountOfPaymentForContingentConsiderationArrangements_documentation_en-US" xlink:label="lab_lzm_MaximumAmountOfPaymentForContingentConsiderationArrangements" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Maximum Amount Of Payment For Contingent Consideration Arrangements</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_MaximumAmountOfPaymentForContingentConsiderationArrangements" xlink:href="lzm-20260930.xsd#lzm_MaximumAmountOfPaymentForContingentConsiderationArrangements"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_MaximumAmountOfPaymentForContingentConsiderationArrangements" xlink:to="lab_lzm_MaximumAmountOfPaymentForContingentConsiderationArrangements" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ExpirationPeriodForIssuanceOfWarrants_019fae60-c253-775c-998e-316d756cbd72_terseLabel_en-US" xlink:label="lab_lzm_ExpirationPeriodForIssuanceOfWarrants" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Expiration period for issuance of warrants</link:label>
    <link:label id="lab_lzm_ExpirationPeriodForIssuanceOfWarrants_label_en-US" xlink:label="lab_lzm_ExpirationPeriodForIssuanceOfWarrants" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Expiration Period For Issuance Of Warrants</link:label>
    <link:label id="lab_lzm_ExpirationPeriodForIssuanceOfWarrants_documentation_en-US" xlink:label="lab_lzm_ExpirationPeriodForIssuanceOfWarrants" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Expiration Period For Issuance Of Warrants</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ExpirationPeriodForIssuanceOfWarrants" xlink:href="lzm-20260930.xsd#lzm_ExpirationPeriodForIssuanceOfWarrants"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ExpirationPeriodForIssuanceOfWarrants" xlink:to="lab_lzm_ExpirationPeriodForIssuanceOfWarrants" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_PurchaseOfExplorationAndEvaluationAssets_019fae60-c1ca-7f17-900d-674dca9fa512_negatedLabel_en-US" xlink:label="lab_ifrs-full_PurchaseOfExplorationAndEvaluationAssets" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Investment in exploration and evaluation assets</link:label>
    <link:label id="lab_ifrs-full_PurchaseOfExplorationAndEvaluationAssets_label_en-US" xlink:label="lab_ifrs-full_PurchaseOfExplorationAndEvaluationAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Purchase of exploration and evaluation assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_PurchaseOfExplorationAndEvaluationAssets" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_PurchaseOfExplorationAndEvaluationAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_PurchaseOfExplorationAndEvaluationAssets" xlink:to="lab_ifrs-full_PurchaseOfExplorationAndEvaluationAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfChangesInAccountingEstimatesLineItems_019fae60-c133-7254-aaef-91318551c933_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfChangesInAccountingEstimatesLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Disclosure of changes in accounting estimates [line items]</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfChangesInAccountingEstimatesLineItems_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfChangesInAccountingEstimatesLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of changes in accounting estimates [line items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfChangesInAccountingEstimatesLineItems" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfChangesInAccountingEstimatesLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfChangesInAccountingEstimatesLineItems" xlink:to="lab_ifrs-full_DisclosureOfChangesInAccountingEstimatesLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_WarrantsInConnectionWithRegisteredDirectOfferingMember_019fae60-c253-78f9-9d8f-18d6a3c0b2c3_terseLabel_en-US" xlink:label="lab_lzm_WarrantsInConnectionWithRegisteredDirectOfferingMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Warrants issued as part of senior secured bridge loan facility</link:label>
    <link:label id="lab_lzm_WarrantsInConnectionWithRegisteredDirectOfferingMember_label_en-US" xlink:label="lab_lzm_WarrantsInConnectionWithRegisteredDirectOfferingMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Warrants In Connection With Registered Direct Offering [Member]</link:label>
    <link:label id="lab_lzm_WarrantsInConnectionWithRegisteredDirectOfferingMember_documentation_en-US" xlink:label="lab_lzm_WarrantsInConnectionWithRegisteredDirectOfferingMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Warrants In Connection With Registered Direct Offering</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_WarrantsInConnectionWithRegisteredDirectOfferingMember" xlink:href="lzm-20260930.xsd#lzm_WarrantsInConnectionWithRegisteredDirectOfferingMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_WarrantsInConnectionWithRegisteredDirectOfferingMember" xlink:to="lab_lzm_WarrantsInConnectionWithRegisteredDirectOfferingMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_CurrentLiabilities_019fae60-c1ca-74cc-b7da-ab6b5b3a315f_totalLabel_en-US" xlink:label="lab_ifrs-full_CurrentLiabilities" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Current liabilities</link:label>
    <link:label id="lab_ifrs-full_CurrentLiabilities_label_en-US" xlink:label="lab_ifrs-full_CurrentLiabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Current liabilities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_CurrentLiabilities" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_CurrentLiabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_CurrentLiabilities" xlink:to="lab_ifrs-full_CurrentLiabilities" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_IngoHofmaierMember_019fae60-c133-7ab1-bc2e-e3077c570e25_terseLabel_en-US" xlink:label="lab_lzm_IngoHofmaierMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Ingo Hofmaier</link:label>
    <link:label id="lab_lzm_IngoHofmaierMember_label_en-US" xlink:label="lab_lzm_IngoHofmaierMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Ingo Hofmaier [Member]</link:label>
    <link:label id="lab_lzm_IngoHofmaierMember_documentation_en-US" xlink:label="lab_lzm_IngoHofmaierMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Ingo Hofmaier</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_IngoHofmaierMember" xlink:href="lzm-20260930.xsd#lzm_IngoHofmaierMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_IngoHofmaierMember" xlink:to="lab_lzm_IngoHofmaierMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ProfitLossAttributableToParticipatingEquityInstrumentsOtherThanOrdinarySharesUsedInCalculatingDilutedEarningsLossPerInstrument_019fae60-c133-7322-8757-3023a122e2eb_terseLabel_en-US" xlink:label="lab_ifrs-full_ProfitLossAttributableToParticipatingEquityInstrumentsOtherThanOrdinarySharesUsedInCalculatingDilutedEarningsLossPerInstrument" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net loss used for diluted loss per share</link:label>
    <link:label id="lab_ifrs-full_ProfitLossAttributableToParticipatingEquityInstrumentsOtherThanOrdinarySharesUsedInCalculatingDilutedEarningsLossPerInstrument_label_en-US" xlink:label="lab_ifrs-full_ProfitLossAttributableToParticipatingEquityInstrumentsOtherThanOrdinarySharesUsedInCalculatingDilutedEarningsLossPerInstrument" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Profit (loss) attributable to participating equity instruments other than ordinary shares, used in calculating diluted earnings (loss) per instrument</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ProfitLossAttributableToParticipatingEquityInstrumentsOtherThanOrdinarySharesUsedInCalculatingDilutedEarningsLossPerInstrument" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ProfitLossAttributableToParticipatingEquityInstrumentsOtherThanOrdinarySharesUsedInCalculatingDilutedEarningsLossPerInstrument"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ProfitLossAttributableToParticipatingEquityInstrumentsOtherThanOrdinarySharesUsedInCalculatingDilutedEarningsLossPerInstrument" xlink:to="lab_ifrs-full_ProfitLossAttributableToParticipatingEquityInstrumentsOtherThanOrdinarySharesUsedInCalculatingDilutedEarningsLossPerInstrument" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_TradeAndOtherReceivablesAbstract_019fae60-c1ca-7c1f-b8ca-2ef8cc5aa2a9_terseLabel_en-US" xlink:label="lab_ifrs-full_TradeAndOtherReceivablesAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Trade and other receivables [abstract]</link:label>
    <link:label id="lab_ifrs-full_TradeAndOtherReceivablesAbstract_label_en-US" xlink:label="lab_ifrs-full_TradeAndOtherReceivablesAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Trade and other receivables [abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_TradeAndOtherReceivablesAbstract" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_TradeAndOtherReceivablesAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_TradeAndOtherReceivablesAbstract" xlink:to="lab_ifrs-full_TradeAndOtherReceivablesAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DeferredTaxAssets_019fae60-c253-77ed-8e14-eb183bd2292b_terseLabel_en-US" xlink:label="lab_ifrs-full_DeferredTaxAssets" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Deferred tax assets</link:label>
    <link:label id="lab_ifrs-full_DeferredTaxAssets_019fae60-c253-719c-9b69-db90f0c16732_totalLabel_en-US" xlink:label="lab_ifrs-full_DeferredTaxAssets" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Deferred tax assets</link:label>
    <link:label id="lab_ifrs-full_DeferredTaxAssets_label_en-US" xlink:label="lab_ifrs-full_DeferredTaxAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Deferred tax assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DeferredTaxAssets" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DeferredTaxAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DeferredTaxAssets" xlink:to="lab_ifrs-full_DeferredTaxAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_Inventories_019fae60-c1ca-70b1-b62f-2823746fd09f_terseLabel_en-US" xlink:label="lab_ifrs-full_Inventories" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Inventories</link:label>
    <link:label id="lab_ifrs-full_Inventories_label_en-US" xlink:label="lab_ifrs-full_Inventories" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Current inventories</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_Inventories" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_Inventories"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_Inventories" xlink:to="lab_ifrs-full_Inventories" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ComprehensiveIncomeAttributableToNoncontrollingInterests_019fae60-c1ca-7e1e-8268-c5c126e0c0af_terseLabel_en-US" xlink:label="lab_ifrs-full_ComprehensiveIncomeAttributableToNoncontrollingInterests" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Attributable to non-controlling interests</link:label>
    <link:label id="lab_ifrs-full_ComprehensiveIncomeAttributableToNoncontrollingInterests_label_en-US" xlink:label="lab_ifrs-full_ComprehensiveIncomeAttributableToNoncontrollingInterests" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Comprehensive income, attributable to non-controlling interests</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ComprehensiveIncomeAttributableToNoncontrollingInterests" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ComprehensiveIncomeAttributableToNoncontrollingInterests"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ComprehensiveIncomeAttributableToNoncontrollingInterests" xlink:to="lab_ifrs-full_ComprehensiveIncomeAttributableToNoncontrollingInterests" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_NoncontrollingInterestsMember_019fae60-c253-780d-a14e-b96ccd364933_terseLabel_en-US" xlink:label="lab_ifrs-full_NoncontrollingInterestsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Non- controlling Interest</link:label>
    <link:label id="lab_ifrs-full_NoncontrollingInterestsMember_label_en-US" xlink:label="lab_ifrs-full_NoncontrollingInterestsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Non-controlling interests [member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_NoncontrollingInterestsMember" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_NoncontrollingInterestsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_NoncontrollingInterestsMember" xlink:to="lab_ifrs-full_NoncontrollingInterestsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_IncreaseDecreaseInDefinedBenefitObligationDueToReasonablyPossibleDecreaseInActuarialAssumption_019fae60-c253-7d30-b373-ca85bdd6f91c_terseLabel_en-US" xlink:label="lab_ifrs-full_IncreaseDecreaseInDefinedBenefitObligationDueToReasonablyPossibleDecreaseInActuarialAssumption" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Increase in fair value with 1% decrease in discount rate</link:label>
    <link:label id="lab_ifrs-full_IncreaseDecreaseInDefinedBenefitObligationDueToReasonablyPossibleDecreaseInActuarialAssumption_label_en-US" xlink:label="lab_ifrs-full_IncreaseDecreaseInDefinedBenefitObligationDueToReasonablyPossibleDecreaseInActuarialAssumption" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Increase (decrease) in defined benefit obligation due to reasonably possible decrease in actuarial assumption</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_IncreaseDecreaseInDefinedBenefitObligationDueToReasonablyPossibleDecreaseInActuarialAssumption" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_IncreaseDecreaseInDefinedBenefitObligationDueToReasonablyPossibleDecreaseInActuarialAssumption"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_IncreaseDecreaseInDefinedBenefitObligationDueToReasonablyPossibleDecreaseInActuarialAssumption" xlink:to="lab_ifrs-full_IncreaseDecreaseInDefinedBenefitObligationDueToReasonablyPossibleDecreaseInActuarialAssumption" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ChangeInGBPRateMember_019fae60-c133-7447-9024-acffe27f2ef1_terseLabel_en-US" xlink:label="lab_lzm_ChangeInGBPRateMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Change in GBP Rate</link:label>
    <link:label id="lab_lzm_ChangeInGBPRateMember_label_en-US" xlink:label="lab_lzm_ChangeInGBPRateMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Change In GBPRate [Member]</link:label>
    <link:label id="lab_lzm_ChangeInGBPRateMember_documentation_en-US" xlink:label="lab_lzm_ChangeInGBPRateMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Change In GBPRate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ChangeInGBPRateMember" xlink:href="lzm-20260930.xsd#lzm_ChangeInGBPRateMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ChangeInGBPRateMember" xlink:to="lab_lzm_ChangeInGBPRateMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_GlencoreInvestmentMember_019fae60-c1ca-75e3-939e-d13766ee1606_terseLabel_en-US" xlink:label="lab_lzm_GlencoreInvestmentMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Glencore Investment</link:label>
    <link:label id="lab_lzm_GlencoreInvestmentMember_label_en-US" xlink:label="lab_lzm_GlencoreInvestmentMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Glencore Investment [Member]</link:label>
    <link:label id="lab_lzm_GlencoreInvestmentMember_documentation_en-US" xlink:label="lab_lzm_GlencoreInvestmentMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Glencore Investment</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_GlencoreInvestmentMember" xlink:href="lzm-20260930.xsd#lzm_GlencoreInvestmentMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_GlencoreInvestmentMember" xlink:to="lab_lzm_GlencoreInvestmentMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_GovernmentOfTanzaniaMember_019fae60-c1ca-763d-850c-88284ca9093d_terseLabel_en-US" xlink:label="lab_lzm_GovernmentOfTanzaniaMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Government Of Tanzania</link:label>
    <link:label id="lab_lzm_GovernmentOfTanzaniaMember_label_en-US" xlink:label="lab_lzm_GovernmentOfTanzaniaMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Government Of Tanzania [Member]</link:label>
    <link:label id="lab_lzm_GovernmentOfTanzaniaMember_documentation_en-US" xlink:label="lab_lzm_GovernmentOfTanzaniaMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Government Of Tanzania</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_GovernmentOfTanzaniaMember" xlink:href="lzm-20260930.xsd#lzm_GovernmentOfTanzaniaMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_GovernmentOfTanzaniaMember" xlink:to="lab_lzm_GovernmentOfTanzaniaMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DilutiveEffectOfWarrantsOnWeightedAverageNumberOfOrdinaryShares_019fae60-c1ca-7970-98b5-9c0909d66ed0_terseLabel_en-US" xlink:label="lab_ifrs-full_DilutiveEffectOfWarrantsOnWeightedAverageNumberOfOrdinaryShares" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Warrant units (in shares)</link:label>
    <link:label id="lab_ifrs-full_DilutiveEffectOfWarrantsOnWeightedAverageNumberOfOrdinaryShares_label_en-US" xlink:label="lab_ifrs-full_DilutiveEffectOfWarrantsOnWeightedAverageNumberOfOrdinaryShares" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Dilutive effect of warrants on weighted average number of ordinary shares</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DilutiveEffectOfWarrantsOnWeightedAverageNumberOfOrdinaryShares" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DilutiveEffectOfWarrantsOnWeightedAverageNumberOfOrdinaryShares"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DilutiveEffectOfWarrantsOnWeightedAverageNumberOfOrdinaryShares" xlink:to="lab_ifrs-full_DilutiveEffectOfWarrantsOnWeightedAverageNumberOfOrdinaryShares" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfTemporaryDifferenceUnusedTaxLossesAndUnusedTaxCreditsLineItems_019fae60-c1ca-7386-aaed-2cb60acc9e98_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfTemporaryDifferenceUnusedTaxLossesAndUnusedTaxCreditsLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Disclosure of temporary difference, unused tax losses and unused tax credits [line items]</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfTemporaryDifferenceUnusedTaxLossesAndUnusedTaxCreditsLineItems_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfTemporaryDifferenceUnusedTaxLossesAndUnusedTaxCreditsLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of temporary difference, unused tax losses and unused tax credits [line items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfTemporaryDifferenceUnusedTaxLossesAndUnusedTaxCreditsLineItems" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfTemporaryDifferenceUnusedTaxLossesAndUnusedTaxCreditsLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfTemporaryDifferenceUnusedTaxLossesAndUnusedTaxCreditsLineItems" xlink:to="lab_ifrs-full_DisclosureOfTemporaryDifferenceUnusedTaxLossesAndUnusedTaxCreditsLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_WeightedAverageRemainingContractualLifeOfOutstandingShareOptions2019_019fae60-c253-778f-bb64-142f79b3bf00_terseLabel_en-US" xlink:label="lab_ifrs-full_WeightedAverageRemainingContractualLifeOfOutstandingShareOptions2019" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Weighted remaining contractual life</link:label>
    <link:label id="lab_ifrs-full_WeightedAverageRemainingContractualLifeOfOutstandingShareOptions2019_label_en-US" xlink:label="lab_ifrs-full_WeightedAverageRemainingContractualLifeOfOutstandingShareOptions2019" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Weighted average remaining contractual life of outstanding share options</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_WeightedAverageRemainingContractualLifeOfOutstandingShareOptions2019" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_WeightedAverageRemainingContractualLifeOfOutstandingShareOptions2019"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_WeightedAverageRemainingContractualLifeOfOutstandingShareOptions2019" xlink:to="lab_ifrs-full_WeightedAverageRemainingContractualLifeOfOutstandingShareOptions2019" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_StatementOfChangesInEquityAbstract_label_en-US" xlink:label="lab_ifrs-full_StatementOfChangesInEquityAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Statement of changes in equity [abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_StatementOfChangesInEquityAbstract" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_StatementOfChangesInEquityAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_StatementOfChangesInEquityAbstract" xlink:to="lab_ifrs-full_StatementOfChangesInEquityAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_RetainedEarnings_019fae60-c1ca-761d-beba-a2bb8f9b21e8_verboseLabel_en-US" xlink:label="lab_ifrs-full_RetainedEarnings" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Accumulated deficit</link:label>
    <link:label id="lab_ifrs-full_RetainedEarnings_01a17a2e-9d0a-7f9a-af2f-64b254797afd_negatedTerseLabel_en-US" xlink:label="lab_ifrs-full_RetainedEarnings" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Retained earnings</link:label>
    <link:label id="lab_ifrs-full_RetainedEarnings_label_en-US" xlink:label="lab_ifrs-full_RetainedEarnings" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Retained earnings</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_RetainedEarnings" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_RetainedEarnings"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_RetainedEarnings" xlink:to="lab_ifrs-full_RetainedEarnings" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ShareBasedPaymentsArrangementsTrancheDomain_019fae60-c253-7d79-8666-eeae352a87a3_terseLabel_en-US" xlink:label="lab_lzm_ShareBasedPaymentsArrangementsTrancheDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Share-based payments arrangements, tranche [Domain]</link:label>
    <link:label id="lab_lzm_ShareBasedPaymentsArrangementsTrancheDomain_label_en-US" xlink:label="lab_lzm_ShareBasedPaymentsArrangementsTrancheDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Share-based payments arrangements, tranche [Domain]</link:label>
    <link:label id="lab_lzm_ShareBasedPaymentsArrangementsTrancheDomain_documentation_en-US" xlink:label="lab_lzm_ShareBasedPaymentsArrangementsTrancheDomain" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Share-based payments arrangements, tranche [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ShareBasedPaymentsArrangementsTrancheDomain" xlink:href="lzm-20260930.xsd#lzm_ShareBasedPaymentsArrangementsTrancheDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ShareBasedPaymentsArrangementsTrancheDomain" xlink:to="lab_lzm_ShareBasedPaymentsArrangementsTrancheDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_MeasurementDomain_019fae60-c1ca-79f9-98c4-3d43a8f40b72_terseLabel_en-US" xlink:label="lab_ifrs-full_MeasurementDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Measurement [domain]</link:label>
    <link:label id="lab_ifrs-full_MeasurementDomain_label_en-US" xlink:label="lab_ifrs-full_MeasurementDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Measurement [domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_MeasurementDomain" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_MeasurementDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_MeasurementDomain" xlink:to="lab_ifrs-full_MeasurementDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_MaximumExposureToCreditRisk_019fae60-c253-7a68-9350-17e606a4cb87_totalLabel_en-US" xlink:label="lab_ifrs-full_MaximumExposureToCreditRisk" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Maximum exposure to credit risk</link:label>
    <link:label id="lab_ifrs-full_MaximumExposureToCreditRisk_label_en-US" xlink:label="lab_ifrs-full_MaximumExposureToCreditRisk" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Maximum exposure to credit risk</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_MaximumExposureToCreditRisk" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_MaximumExposureToCreditRisk"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_MaximumExposureToCreditRisk" xlink:to="lab_ifrs-full_MaximumExposureToCreditRisk" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_SignificantAccountingJudgementsEstimatesAndAssumptionsPolicyTextBlock_019fae60-c1ca-7be8-8266-0bdd91e92c31_terseLabel_en-US" xlink:label="lab_lzm_SignificantAccountingJudgementsEstimatesAndAssumptionsPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Significant accounting judgements, estimates and assumptions</link:label>
    <link:label id="lab_lzm_SignificantAccountingJudgementsEstimatesAndAssumptionsPolicyTextBlock_label_en-US" xlink:label="lab_lzm_SignificantAccountingJudgementsEstimatesAndAssumptionsPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Significant Accounting Judgements Estimates And Assumptions [Policy Text Block]</link:label>
    <link:label id="lab_lzm_SignificantAccountingJudgementsEstimatesAndAssumptionsPolicyTextBlock_documentation_en-US" xlink:label="lab_lzm_SignificantAccountingJudgementsEstimatesAndAssumptionsPolicyTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Significant accounting judgements, estimates and assumptions.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_SignificantAccountingJudgementsEstimatesAndAssumptionsPolicyTextBlock" xlink:href="lzm-20260930.xsd#lzm_SignificantAccountingJudgementsEstimatesAndAssumptionsPolicyTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_SignificantAccountingJudgementsEstimatesAndAssumptionsPolicyTextBlock" xlink:to="lab_lzm_SignificantAccountingJudgementsEstimatesAndAssumptionsPolicyTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfFinancialInstrumentsLineItems_019fae60-c1ca-7e6b-9545-fbef8d966a15_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfFinancialInstrumentsLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Disclosure of detailed information about financial instruments [line items]</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfFinancialInstrumentsLineItems_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfFinancialInstrumentsLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of detailed information about financial instruments [line items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfFinancialInstrumentsLineItems" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfFinancialInstrumentsLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfFinancialInstrumentsLineItems" xlink:to="lab_ifrs-full_DisclosureOfFinancialInstrumentsLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_BuildingsMember_019fae60-c133-729b-95ef-2594946ab32f_terseLabel_en-US" xlink:label="lab_ifrs-full_BuildingsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Buildings</link:label>
    <link:label id="lab_ifrs-full_BuildingsMember_label_en-US" xlink:label="lab_ifrs-full_BuildingsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Buildings [member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_BuildingsMember" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_BuildingsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_BuildingsMember" xlink:to="lab_ifrs-full_BuildingsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_NumberOfInstrumentsOtherEquityInstrumentsGranted_019fae60-c133-7da9-8de2-269dd0ae8928_terseLabel_en-US" xlink:label="lab_ifrs-full_NumberOfInstrumentsOtherEquityInstrumentsGranted" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Granted (in shares)</link:label>
    <link:label id="lab_ifrs-full_NumberOfInstrumentsOtherEquityInstrumentsGranted_label_en-US" xlink:label="lab_ifrs-full_NumberOfInstrumentsOtherEquityInstrumentsGranted" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number of other equity instruments granted in share-based payment arrangement</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_NumberOfInstrumentsOtherEquityInstrumentsGranted" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_NumberOfInstrumentsOtherEquityInstrumentsGranted"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_NumberOfInstrumentsOtherEquityInstrumentsGranted" xlink:to="lab_ifrs-full_NumberOfInstrumentsOtherEquityInstrumentsGranted" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_TypesOfRisksDomain_019fae60-c133-77bc-b325-3121d016c7c2_terseLabel_en-US" xlink:label="lab_ifrs-full_TypesOfRisksDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Types of risks [domain]</link:label>
    <link:label id="lab_ifrs-full_TypesOfRisksDomain_label_en-US" xlink:label="lab_ifrs-full_TypesOfRisksDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Types of risks [domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_TypesOfRisksDomain" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_TypesOfRisksDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_TypesOfRisksDomain" xlink:to="lab_ifrs-full_TypesOfRisksDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_AdjustmentsForDecreaseIncreaseInTradeAndOtherReceivables_019fae60-c133-74d8-bef9-aa88afc37d88_terseLabel_en-US" xlink:label="lab_ifrs-full_AdjustmentsForDecreaseIncreaseInTradeAndOtherReceivables" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Changes in trade and other receivables</link:label>
    <link:label id="lab_ifrs-full_AdjustmentsForDecreaseIncreaseInTradeAndOtherReceivables_label_en-US" xlink:label="lab_ifrs-full_AdjustmentsForDecreaseIncreaseInTradeAndOtherReceivables" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Adjustments for decrease (increase) in trade and other receivables</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_AdjustmentsForDecreaseIncreaseInTradeAndOtherReceivables" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_AdjustmentsForDecreaseIncreaseInTradeAndOtherReceivables"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_AdjustmentsForDecreaseIncreaseInTradeAndOtherReceivables" xlink:to="lab_ifrs-full_AdjustmentsForDecreaseIncreaseInTradeAndOtherReceivables" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_LegalEntityAxis_019fae60-c1ca-75b4-93d8-f17aeb4b28f1_terseLabel_en-US" xlink:label="lab_dei_LegalEntityAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Legal Entity [Axis]</link:label>
    <link:label id="lab_dei_LegalEntityAxis_label_en-US" xlink:label="lab_dei_LegalEntityAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Legal Entity [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LegalEntityAxis" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_LegalEntityAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_LegalEntityAxis" xlink:to="lab_dei_LegalEntityAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_GlencoreMember_019fae60-c1ca-7db5-b9e9-70c50bd0cd77_terseLabel_en-US" xlink:label="lab_lzm_GlencoreMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Glencore</link:label>
    <link:label id="lab_lzm_GlencoreMember_label_en-US" xlink:label="lab_lzm_GlencoreMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Glencore [Member]</link:label>
    <link:label id="lab_lzm_GlencoreMember_documentation_en-US" xlink:label="lab_lzm_GlencoreMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Glencore</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_GlencoreMember" xlink:href="lzm-20260930.xsd#lzm_GlencoreMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_GlencoreMember" xlink:to="lab_lzm_GlencoreMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_SignificantInvestmentsInSubsidiariesAxis_019fae60-c133-741f-ad18-28bfca825a91_terseLabel_en-US" xlink:label="lab_ifrs-full_SignificantInvestmentsInSubsidiariesAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Subsidiaries [axis]</link:label>
    <link:label id="lab_ifrs-full_SignificantInvestmentsInSubsidiariesAxis_label_en-US" xlink:label="lab_ifrs-full_SignificantInvestmentsInSubsidiariesAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Subsidiaries [axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_SignificantInvestmentsInSubsidiariesAxis" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_SignificantInvestmentsInSubsidiariesAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_SignificantInvestmentsInSubsidiariesAxis" xlink:to="lab_ifrs-full_SignificantInvestmentsInSubsidiariesAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ProfitLossAttributableToOrdinaryEquityHoldersOfParentEntity_019fae60-c133-7666-b2db-7e0517e6b7c7_terseLabel_en-US" xlink:label="lab_ifrs-full_ProfitLossAttributableToOrdinaryEquityHoldersOfParentEntity" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net loss used for basic loss per share</link:label>
    <link:label id="lab_ifrs-full_ProfitLossAttributableToOrdinaryEquityHoldersOfParentEntity_label_en-US" xlink:label="lab_ifrs-full_ProfitLossAttributableToOrdinaryEquityHoldersOfParentEntity" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Profit (loss), attributable to ordinary equity holders of parent entity, used in calculating basic earnings per share</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ProfitLossAttributableToOrdinaryEquityHoldersOfParentEntity" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ProfitLossAttributableToOrdinaryEquityHoldersOfParentEntity"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ProfitLossAttributableToOrdinaryEquityHoldersOfParentEntity" xlink:to="lab_ifrs-full_ProfitLossAttributableToOrdinaryEquityHoldersOfParentEntity" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfGoingConcernExplanatory_019fae60-c1ca-7cec-94fa-b1ac98e85f2c_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfGoingConcernExplanatory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Going concern</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfGoingConcernExplanatory_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfGoingConcernExplanatory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of going concern [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfGoingConcernExplanatory" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfGoingConcernExplanatory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfGoingConcernExplanatory" xlink:to="lab_ifrs-full_DisclosureOfGoingConcernExplanatory" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ActuarialAssumptionOfDiscountRatesMember_019fae60-c253-7e93-92bc-55004e46a103_terseLabel_en-US" xlink:label="lab_ifrs-full_ActuarialAssumptionOfDiscountRatesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Actuarial assumption of discount rates</link:label>
    <link:label id="lab_ifrs-full_ActuarialAssumptionOfDiscountRatesMember_label_en-US" xlink:label="lab_ifrs-full_ActuarialAssumptionOfDiscountRatesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Actuarial assumption of discount rates [member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ActuarialAssumptionOfDiscountRatesMember" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ActuarialAssumptionOfDiscountRatesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ActuarialAssumptionOfDiscountRatesMember" xlink:to="lab_ifrs-full_ActuarialAssumptionOfDiscountRatesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_TaxEffectFromChangeInTaxRate_019fae60-c253-7ee4-b0d6-99cd33718e05_terseLabel_en-US" xlink:label="lab_ifrs-full_TaxEffectFromChangeInTaxRate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Difference in overseas tax rates</link:label>
    <link:label id="lab_ifrs-full_TaxEffectFromChangeInTaxRate_label_en-US" xlink:label="lab_ifrs-full_TaxEffectFromChangeInTaxRate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Tax effect from change in tax rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_TaxEffectFromChangeInTaxRate" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_TaxEffectFromChangeInTaxRate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_TaxEffectFromChangeInTaxRate" xlink:to="lab_ifrs-full_TaxEffectFromChangeInTaxRate" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_SegmentGeographicalDomain_019fae60-c1ca-72db-81b0-5f9a139c2b28_terseLabel_en-US" xlink:label="lab_srt_SegmentGeographicalDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Geographical [Domain]</link:label>
    <link:label id="lab_srt_SegmentGeographicalDomain_label_en-US" xlink:label="lab_srt_SegmentGeographicalDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Geographical [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_SegmentGeographicalDomain" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_SegmentGeographicalDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_SegmentGeographicalDomain" xlink:to="lab_srt_SegmentGeographicalDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_KeithLiddell1Member_019fae60-c253-7b5d-89fa-cac551ae65e9_terseLabel_en-US" xlink:label="lab_lzm_KeithLiddell1Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Keith Liddell</link:label>
    <link:label id="lab_lzm_KeithLiddell1Member_label_en-US" xlink:label="lab_lzm_KeithLiddell1Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Keith Liddell 1 [Member]</link:label>
    <link:label id="lab_lzm_KeithLiddell1Member_documentation_en-US" xlink:label="lab_lzm_KeithLiddell1Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Keith Liddell 1</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_KeithLiddell1Member" xlink:href="lzm-20260930.xsd#lzm_KeithLiddell1Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_KeithLiddell1Member" xlink:to="lab_lzm_KeithLiddell1Member" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_NoncurrentPortionOfNoncurrentUnsecuredBankLoansReceived_019fae60-c133-7005-a0a7-a581e8d19c56_terseLabel_en-US" xlink:label="lab_ifrs-full_NoncurrentPortionOfNoncurrentUnsecuredBankLoansReceived" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Unsecured convertible debentures</link:label>
    <link:label id="lab_ifrs-full_NoncurrentPortionOfNoncurrentUnsecuredBankLoansReceived_label_en-US" xlink:label="lab_ifrs-full_NoncurrentPortionOfNoncurrentUnsecuredBankLoansReceived" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Non-current portion of non-current unsecured bank loans received</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_NoncurrentPortionOfNoncurrentUnsecuredBankLoansReceived" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_NoncurrentPortionOfNoncurrentUnsecuredBankLoansReceived"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_NoncurrentPortionOfNoncurrentUnsecuredBankLoansReceived" xlink:to="lab_ifrs-full_NoncurrentPortionOfNoncurrentUnsecuredBankLoansReceived" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_GeographicalAreasAxis_019fae60-c253-7977-b8b4-c9ce2b04aafe_terseLabel_en-US" xlink:label="lab_ifrs-full_GeographicalAreasAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Geographical areas [axis]</link:label>
    <link:label id="lab_ifrs-full_GeographicalAreasAxis_label_en-US" xlink:label="lab_ifrs-full_GeographicalAreasAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Geographical areas [axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_GeographicalAreasAxis" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_GeographicalAreasAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_GeographicalAreasAxis" xlink:to="lab_ifrs-full_GeographicalAreasAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_RestrictedCashAndCashEquivalents_019fae60-c253-7a5f-9534-91a6821ba2db_terseLabel_en-US" xlink:label="lab_ifrs-full_RestrictedCashAndCashEquivalents" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Restricted cash and cash equivalents</link:label>
    <link:label id="lab_ifrs-full_RestrictedCashAndCashEquivalents_label_en-US" xlink:label="lab_ifrs-full_RestrictedCashAndCashEquivalents" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Restricted cash and cash equivalents</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_RestrictedCashAndCashEquivalents" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_RestrictedCashAndCashEquivalents"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_RestrictedCashAndCashEquivalents" xlink:to="lab_ifrs-full_RestrictedCashAndCashEquivalents" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_KeyManagementPersonnelOfficerPosition_019fae60-c133-7d6e-ab69-e71b357115c0_terseLabel_en-US" xlink:label="lab_lzm_KeyManagementPersonnelOfficerPosition" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Key management personnel, officer position</link:label>
    <link:label id="lab_lzm_KeyManagementPersonnelOfficerPosition_label_en-US" xlink:label="lab_lzm_KeyManagementPersonnelOfficerPosition" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Key Management Personnel Officer Position</link:label>
    <link:label id="lab_lzm_KeyManagementPersonnelOfficerPosition_documentation_en-US" xlink:label="lab_lzm_KeyManagementPersonnelOfficerPosition" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Key management personnel, Officer position.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_KeyManagementPersonnelOfficerPosition" xlink:href="lzm-20260930.xsd#lzm_KeyManagementPersonnelOfficerPosition"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_KeyManagementPersonnelOfficerPosition" xlink:to="lab_lzm_KeyManagementPersonnelOfficerPosition" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_NoncurrentLeaseLiabilities_019fae60-c133-72c3-83c7-02fd60df454b_terseLabel_en-US" xlink:label="lab_ifrs-full_NoncurrentLeaseLiabilities" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Lease liabilities</link:label>
    <link:label id="lab_ifrs-full_NoncurrentLeaseLiabilities_019fae60-c133-703e-9363-7dec22e7b57c_verboseLabel_en-US" xlink:label="lab_ifrs-full_NoncurrentLeaseLiabilities" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Non-current</link:label>
    <link:label id="lab_ifrs-full_NoncurrentLeaseLiabilities_label_en-US" xlink:label="lab_ifrs-full_NoncurrentLeaseLiabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Non-current lease liabilities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_NoncurrentLeaseLiabilities" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_NoncurrentLeaseLiabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_NoncurrentLeaseLiabilities" xlink:to="lab_ifrs-full_NoncurrentLeaseLiabilities" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_IncomeTaxesAbstract_019fae60-c133-7e4c-af2e-55a80e5241ef_terseLabel_en-US" xlink:label="lab_lzm_IncomeTaxesAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Income Taxes [Abstract]</link:label>
    <link:label id="lab_lzm_IncomeTaxesAbstract_label_en-US" xlink:label="lab_lzm_IncomeTaxesAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Income Taxes [Abstract]</link:label>
    <link:label id="lab_lzm_IncomeTaxesAbstract_documentation_en-US" xlink:label="lab_lzm_IncomeTaxesAbstract" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Income Taxes [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_IncomeTaxesAbstract" xlink:href="lzm-20260930.xsd#lzm_IncomeTaxesAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_IncomeTaxesAbstract" xlink:to="lab_lzm_IncomeTaxesAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_IntangibleAssetsOtherThanGoodwill_019fae60-c1ca-7c9f-bd10-a4918401ddd5_periodStartLabel_en-US" xlink:label="lab_ifrs-full_IntangibleAssetsOtherThanGoodwill" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:type="resource" xml:lang="en-US">Beginning balance</link:label>
    <link:label id="lab_ifrs-full_IntangibleAssetsOtherThanGoodwill_019fae60-c1ca-7d54-9961-d39e92b6e04d_periodEndLabel_en-US" xlink:label="lab_ifrs-full_IntangibleAssetsOtherThanGoodwill" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:type="resource" xml:lang="en-US">Ending balance</link:label>
    <link:label id="lab_ifrs-full_IntangibleAssetsOtherThanGoodwill_label_en-US" xlink:label="lab_ifrs-full_IntangibleAssetsOtherThanGoodwill" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Intangible assets other than goodwill</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_IntangibleAssetsOtherThanGoodwill" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_IntangibleAssetsOtherThanGoodwill"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_IntangibleAssetsOtherThanGoodwill" xlink:to="lab_ifrs-full_IntangibleAssetsOtherThanGoodwill" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_DisclosureOfDebentureHostDebtInstrumentTableTextBlock_019fae60-c253-76ee-b327-b0a413470a05_terseLabel_en-US" xlink:label="lab_lzm_DisclosureOfDebentureHostDebtInstrumentTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Debenture Host Debt Instrument</link:label>
    <link:label id="lab_lzm_DisclosureOfDebentureHostDebtInstrumentTableTextBlock_label_en-US" xlink:label="lab_lzm_DisclosureOfDebentureHostDebtInstrumentTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure Of Debenture Host Debt Instrument [Table Text Block]</link:label>
    <link:label id="lab_lzm_DisclosureOfDebentureHostDebtInstrumentTableTextBlock_documentation_en-US" xlink:label="lab_lzm_DisclosureOfDebentureHostDebtInstrumentTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Represent the tabular of debenture host debt instrument.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_DisclosureOfDebentureHostDebtInstrumentTableTextBlock" xlink:href="lzm-20260930.xsd#lzm_DisclosureOfDebentureHostDebtInstrumentTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_DisclosureOfDebentureHostDebtInstrumentTableTextBlock" xlink:to="lab_lzm_DisclosureOfDebentureHostDebtInstrumentTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_SegmentsDomain_019fae60-c133-75f1-9f9a-b457d678148c_terseLabel_en-US" xlink:label="lab_ifrs-full_SegmentsDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Segments [domain]</link:label>
    <link:label id="lab_ifrs-full_SegmentsDomain_label_en-US" xlink:label="lab_ifrs-full_SegmentsDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Segments [domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_SegmentsDomain" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_SegmentsDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_SegmentsDomain" xlink:to="lab_ifrs-full_SegmentsDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_CashAndCashEquivalents_019fae60-c133-7d9f-9777-dd96bfa13cc2_terseLabel_en-US" xlink:label="lab_ifrs-full_CashAndCashEquivalents" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cash and cash equivalents</link:label>
    <link:label id="lab_ifrs-full_CashAndCashEquivalents_019fae60-c133-714d-b2f0-6b4a6fc089ce_periodStartLabel_en-US" xlink:label="lab_ifrs-full_CashAndCashEquivalents" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:type="resource" xml:lang="en-US">Cash and cash equivalents at beginning of period</link:label>
    <link:label id="lab_ifrs-full_CashAndCashEquivalents_019fae60-c133-75b5-9235-89569ae9d077_periodEndLabel_en-US" xlink:label="lab_ifrs-full_CashAndCashEquivalents" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:type="resource" xml:lang="en-US">Cash and cash equivalents at end of period</link:label>
    <link:label id="lab_ifrs-full_CashAndCashEquivalents_label_en-US" xlink:label="lab_ifrs-full_CashAndCashEquivalents" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash and cash equivalents</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_CashAndCashEquivalents" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_CashAndCashEquivalents"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_CashAndCashEquivalents" xlink:to="lab_ifrs-full_CashAndCashEquivalents" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ClassesOfOrdinarySharesAxis_019fae60-c133-7f06-9e98-1a231ec70846_terseLabel_en-US" xlink:label="lab_ifrs-full_ClassesOfOrdinarySharesAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Classes of ordinary shares [axis]</link:label>
    <link:label id="lab_ifrs-full_ClassesOfOrdinarySharesAxis_label_en-US" xlink:label="lab_ifrs-full_ClassesOfOrdinarySharesAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Classes of ordinary shares [axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ClassesOfOrdinarySharesAxis" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ClassesOfOrdinarySharesAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ClassesOfOrdinarySharesAxis" xlink:to="lab_ifrs-full_ClassesOfOrdinarySharesAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_AnthonyVonChristiersonMember_019fae60-c253-7a62-a6dd-cca0ec2a980f_terseLabel_en-US" xlink:label="lab_lzm_AnthonyVonChristiersonMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Anthony von Christierson</link:label>
    <link:label id="lab_lzm_AnthonyVonChristiersonMember_label_en-US" xlink:label="lab_lzm_AnthonyVonChristiersonMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Anthony Von Christierson [Member]</link:label>
    <link:label id="lab_lzm_AnthonyVonChristiersonMember_documentation_en-US" xlink:label="lab_lzm_AnthonyVonChristiersonMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Anthony Von Christierson</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_AnthonyVonChristiersonMember" xlink:href="lzm-20260930.xsd#lzm_AnthonyVonChristiersonMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_AnthonyVonChristiersonMember" xlink:to="lab_lzm_AnthonyVonChristiersonMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_EquityAndLiabilities_019fae60-c1ca-754e-b023-3601c464e428_totalLabel_en-US" xlink:label="lab_ifrs-full_EquityAndLiabilities" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total equity and liabilities</link:label>
    <link:label id="lab_ifrs-full_EquityAndLiabilities_label_en-US" xlink:label="lab_ifrs-full_EquityAndLiabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity and liabilities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_EquityAndLiabilities" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_EquityAndLiabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_EquityAndLiabilities" xlink:to="lab_ifrs-full_EquityAndLiabilities" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_OtherAdministrativeExpenses_019fae60-c1ca-7224-95e8-b01a1a1d8852_terseLabel_en-US" xlink:label="lab_lzm_OtherAdministrativeExpenses" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Other administrative expenses</link:label>
    <link:label id="lab_lzm_OtherAdministrativeExpenses_label_en-US" xlink:label="lab_lzm_OtherAdministrativeExpenses" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Other Administrative Expenses</link:label>
    <link:label id="lab_lzm_OtherAdministrativeExpenses_documentation_en-US" xlink:label="lab_lzm_OtherAdministrativeExpenses" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Other Administrative Expenses</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_OtherAdministrativeExpenses" xlink:href="lzm-20260930.xsd#lzm_OtherAdministrativeExpenses"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_OtherAdministrativeExpenses" xlink:to="lab_lzm_OtherAdministrativeExpenses" xlink:type="arc" order="1"/>
    <link:label id="lab_country_US_019fae60-c1ca-76ab-8e60-f4d1b60f17c8_terseLabel_en-US" xlink:label="lab_country_US" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">UNITED STATES</link:label>
    <link:label id="lab_country_US_label_en-US" xlink:label="lab_country_US" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">UNITED STATES</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_country_US" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_US"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_country_US" xlink:to="lab_country_US" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_UnpaidTaxesInterestAndPenalties_019fae60-c253-750f-b646-5ba468149f77_terseLabel_en-US" xlink:label="lab_lzm_UnpaidTaxesInterestAndPenalties" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Unpaid taxes</link:label>
    <link:label id="lab_lzm_UnpaidTaxesInterestAndPenalties_label_en-US" xlink:label="lab_lzm_UnpaidTaxesInterestAndPenalties" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Unpaid Taxes, Interest And Penalties</link:label>
    <link:label id="lab_lzm_UnpaidTaxesInterestAndPenalties_documentation_en-US" xlink:label="lab_lzm_UnpaidTaxesInterestAndPenalties" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Unpaid Taxes, Interest And Penalties</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_UnpaidTaxesInterestAndPenalties" xlink:href="lzm-20260930.xsd#lzm_UnpaidTaxesInterestAndPenalties"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_UnpaidTaxesInterestAndPenalties" xlink:to="lab_lzm_UnpaidTaxesInterestAndPenalties" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_PropertyPlantAndEquipmentAbstract_019fae60-c133-7352-882a-1feea5496a14_terseLabel_en-US" xlink:label="lab_ifrs-full_PropertyPlantAndEquipmentAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Property, plant and equipment [abstract]</link:label>
    <link:label id="lab_ifrs-full_PropertyPlantAndEquipmentAbstract_label_en-US" xlink:label="lab_ifrs-full_PropertyPlantAndEquipmentAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Property, plant and equipment [abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_PropertyPlantAndEquipmentAbstract" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_PropertyPlantAndEquipmentAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_PropertyPlantAndEquipmentAbstract" xlink:to="lab_ifrs-full_PropertyPlantAndEquipmentAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_DrawingsFromSeniorSecuredBridgeLoanFacility_019fae60-c253-71e7-877e-2bc6650527c4_terseLabel_en-US" xlink:label="lab_lzm_DrawingsFromSeniorSecuredBridgeLoanFacility" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Drawings from senior secured bridge loan facility</link:label>
    <link:label id="lab_lzm_DrawingsFromSeniorSecuredBridgeLoanFacility_label_en-US" xlink:label="lab_lzm_DrawingsFromSeniorSecuredBridgeLoanFacility" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Drawings From Senior Secured Bridge Loan Facility</link:label>
    <link:label id="lab_lzm_DrawingsFromSeniorSecuredBridgeLoanFacility_documentation_en-US" xlink:label="lab_lzm_DrawingsFromSeniorSecuredBridgeLoanFacility" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Drawings From Senior Secured Bridge Loan Facility</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_DrawingsFromSeniorSecuredBridgeLoanFacility" xlink:href="lzm-20260930.xsd#lzm_DrawingsFromSeniorSecuredBridgeLoanFacility"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_DrawingsFromSeniorSecuredBridgeLoanFacility" xlink:to="lab_lzm_DrawingsFromSeniorSecuredBridgeLoanFacility" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_WeightedAverageGrantDateFairValueOtherEquityInstrumentsExercisedOrVested_019fae60-c1ca-7795-8fc2-ce026e5a6230_terseLabel_en-US" xlink:label="lab_lzm_WeightedAverageGrantDateFairValueOtherEquityInstrumentsExercisedOrVested" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Vested (in dollars per share)</link:label>
    <link:label id="lab_lzm_WeightedAverageGrantDateFairValueOtherEquityInstrumentsExercisedOrVested_label_en-US" xlink:label="lab_lzm_WeightedAverageGrantDateFairValueOtherEquityInstrumentsExercisedOrVested" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Weighted Average Grant Date Fair Value, Other Equity Instruments Exercised Or Vested</link:label>
    <link:label id="lab_lzm_WeightedAverageGrantDateFairValueOtherEquityInstrumentsExercisedOrVested_documentation_en-US" xlink:label="lab_lzm_WeightedAverageGrantDateFairValueOtherEquityInstrumentsExercisedOrVested" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Weighted Average Grant Date Fair Value, Other Equity Instruments Exercised Or Vested</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_WeightedAverageGrantDateFairValueOtherEquityInstrumentsExercisedOrVested" xlink:href="lzm-20260930.xsd#lzm_WeightedAverageGrantDateFairValueOtherEquityInstrumentsExercisedOrVested"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_WeightedAverageGrantDateFairValueOtherEquityInstrumentsExercisedOrVested" xlink:to="lab_lzm_WeightedAverageGrantDateFairValueOtherEquityInstrumentsExercisedOrVested" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_Provisions_019fae60-c1ca-7e27-9d73-472b46dea3a3_negatedTerseLabel_en-US" xlink:label="lab_ifrs-full_Provisions" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Provisions</link:label>
    <link:label id="lab_ifrs-full_Provisions_label_en-US" xlink:label="lab_ifrs-full_Provisions" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Provisions</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_Provisions" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_Provisions"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_Provisions" xlink:to="lab_ifrs-full_Provisions" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_DisclosureOfLeaseLiabilityTableTextBlock_019fae60-c253-7eaf-8d61-679e560a526b_terseLabel_en-US" xlink:label="lab_lzm_DisclosureOfLeaseLiabilityTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Lease Liability</link:label>
    <link:label id="lab_lzm_DisclosureOfLeaseLiabilityTableTextBlock_label_en-US" xlink:label="lab_lzm_DisclosureOfLeaseLiabilityTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure Of Lease Liability [Table Text Block]</link:label>
    <link:label id="lab_lzm_DisclosureOfLeaseLiabilityTableTextBlock_documentation_en-US" xlink:label="lab_lzm_DisclosureOfLeaseLiabilityTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Tabular disclosure of lease liability.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_DisclosureOfLeaseLiabilityTableTextBlock" xlink:href="lzm-20260930.xsd#lzm_DisclosureOfLeaseLiabilityTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_DisclosureOfLeaseLiabilityTableTextBlock" xlink:to="lab_lzm_DisclosureOfLeaseLiabilityTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_TaxContingentLiabilityMember_019fae60-c133-7fd6-9757-d31e5f4f890d_terseLabel_en-US" xlink:label="lab_ifrs-full_TaxContingentLiabilityMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Tax contingent liability</link:label>
    <link:label id="lab_ifrs-full_TaxContingentLiabilityMember_label_en-US" xlink:label="lab_ifrs-full_TaxContingentLiabilityMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Tax contingent liability [member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_TaxContingentLiabilityMember" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_TaxContingentLiabilityMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_TaxContingentLiabilityMember" xlink:to="lab_ifrs-full_TaxContingentLiabilityMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_FairValuePerUnitAtDateOfGrant_019fae60-c1ca-755e-975b-e16ab0b9999b_terseLabel_en-US" xlink:label="lab_lzm_FairValuePerUnitAtDateOfGrant" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair value per unit at date of grant (in dollars per share)</link:label>
    <link:label id="lab_lzm_FairValuePerUnitAtDateOfGrant_label_en-US" xlink:label="lab_lzm_FairValuePerUnitAtDateOfGrant" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value Per Unit at Date of Grant</link:label>
    <link:label id="lab_lzm_FairValuePerUnitAtDateOfGrant_documentation_en-US" xlink:label="lab_lzm_FairValuePerUnitAtDateOfGrant" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Fair Value Per Unit at Date of Grant</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_FairValuePerUnitAtDateOfGrant" xlink:href="lzm-20260930.xsd#lzm_FairValuePerUnitAtDateOfGrant"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_FairValuePerUnitAtDateOfGrant" xlink:to="lab_lzm_FairValuePerUnitAtDateOfGrant" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ResettlementActionPlanPeriod_019fae60-c1ca-71db-931c-21803e1a2aae_terseLabel_en-US" xlink:label="lab_lzm_ResettlementActionPlanPeriod" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Resettlement action plan period</link:label>
    <link:label id="lab_lzm_ResettlementActionPlanPeriod_label_en-US" xlink:label="lab_lzm_ResettlementActionPlanPeriod" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Resettlement Action Plan Period</link:label>
    <link:label id="lab_lzm_ResettlementActionPlanPeriod_documentation_en-US" xlink:label="lab_lzm_ResettlementActionPlanPeriod" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Resettlement Action Plan Period</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ResettlementActionPlanPeriod" xlink:href="lzm-20260930.xsd#lzm_ResettlementActionPlanPeriod"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ResettlementActionPlanPeriod" xlink:to="lab_lzm_ResettlementActionPlanPeriod" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_DisclosureOfFairValueOfOutstandingWarrantsTableTextBlock_019fae60-c133-7b30-b57e-23fd7b8d2117_terseLabel_en-US" xlink:label="lab_lzm_DisclosureOfFairValueOfOutstandingWarrantsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Fair Value of Outstanding Warrants</link:label>
    <link:label id="lab_lzm_DisclosureOfFairValueOfOutstandingWarrantsTableTextBlock_label_en-US" xlink:label="lab_lzm_DisclosureOfFairValueOfOutstandingWarrantsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure Of Fair Value Of Outstanding Warrants [Table Text Block]</link:label>
    <link:label id="lab_lzm_DisclosureOfFairValueOfOutstandingWarrantsTableTextBlock_documentation_en-US" xlink:label="lab_lzm_DisclosureOfFairValueOfOutstandingWarrantsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Represent the tabular of fair value of outstanding warrants.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_DisclosureOfFairValueOfOutstandingWarrantsTableTextBlock" xlink:href="lzm-20260930.xsd#lzm_DisclosureOfFairValueOfOutstandingWarrantsTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_DisclosureOfFairValueOfOutstandingWarrantsTableTextBlock" xlink:to="lab_lzm_DisclosureOfFairValueOfOutstandingWarrantsTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_IssuanceOfSharesAmountToDebentureHolders_019fae60-c253-7571-ba76-b04669b9dfa3_terseLabel_en-US" xlink:label="lab_lzm_IssuanceOfSharesAmountToDebentureHolders" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Issuance of shares to debenture holders</link:label>
    <link:label id="lab_lzm_IssuanceOfSharesAmountToDebentureHolders_019fae60-c253-7dff-953f-d317ba928ffb_negatedTerseLabel_en-US" xlink:label="lab_lzm_IssuanceOfSharesAmountToDebentureHolders" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Interest paid in shares</link:label>
    <link:label id="lab_lzm_IssuanceOfSharesAmountToDebentureHolders_label_en-US" xlink:label="lab_lzm_IssuanceOfSharesAmountToDebentureHolders" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Issuance Of Shares Amount To Debenture Holders</link:label>
    <link:label id="lab_lzm_IssuanceOfSharesAmountToDebentureHolders_documentation_en-US" xlink:label="lab_lzm_IssuanceOfSharesAmountToDebentureHolders" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Issuance Of Shares Amount To Debenture Holders</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_IssuanceOfSharesAmountToDebentureHolders" xlink:href="lzm-20260930.xsd#lzm_IssuanceOfSharesAmountToDebentureHolders"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_IssuanceOfSharesAmountToDebentureHolders" xlink:to="lab_lzm_IssuanceOfSharesAmountToDebentureHolders" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ForeignCurrencyTranslationReserveMember_019fae60-c133-70aa-a654-b9c67d8fb4e0_terseLabel_en-US" xlink:label="lab_lzm_ForeignCurrencyTranslationReserveMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Foreign currency translation reserve</link:label>
    <link:label id="lab_lzm_ForeignCurrencyTranslationReserveMember_label_en-US" xlink:label="lab_lzm_ForeignCurrencyTranslationReserveMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Foreign Currency Translation Reserve [Member]</link:label>
    <link:label id="lab_lzm_ForeignCurrencyTranslationReserveMember_documentation_en-US" xlink:label="lab_lzm_ForeignCurrencyTranslationReserveMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Foreign Currency Translation Reserve</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ForeignCurrencyTranslationReserveMember" xlink:href="lzm-20260930.xsd#lzm_ForeignCurrencyTranslationReserveMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ForeignCurrencyTranslationReserveMember" xlink:to="lab_lzm_ForeignCurrencyTranslationReserveMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ExpectedDividendAsPercentageOtherEquityInstrumentsGranted_019fae60-c1ca-7162-818b-56d6b6480eb7_terseLabel_en-US" xlink:label="lab_lzm_ExpectedDividendAsPercentageOtherEquityInstrumentsGranted" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Dividend yields</link:label>
    <link:label id="lab_lzm_ExpectedDividendAsPercentageOtherEquityInstrumentsGranted_label_en-US" xlink:label="lab_lzm_ExpectedDividendAsPercentageOtherEquityInstrumentsGranted" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Expected Dividend As Percentage, Other Equity Instruments Granted</link:label>
    <link:label id="lab_lzm_ExpectedDividendAsPercentageOtherEquityInstrumentsGranted_documentation_en-US" xlink:label="lab_lzm_ExpectedDividendAsPercentageOtherEquityInstrumentsGranted" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Expected Dividend As Percentage, Other Equity Instruments Granted</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ExpectedDividendAsPercentageOtherEquityInstrumentsGranted" xlink:href="lzm-20260930.xsd#lzm_ExpectedDividendAsPercentageOtherEquityInstrumentsGranted"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ExpectedDividendAsPercentageOtherEquityInstrumentsGranted" xlink:to="lab_lzm_ExpectedDividendAsPercentageOtherEquityInstrumentsGranted" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfReconciliationOfChangesInPropertyPlantAndEquipmentIncludingRightofuseAssetsLineItems_019fae60-c1ca-7b29-92b3-d4e8545094da_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfReconciliationOfChangesInPropertyPlantAndEquipmentIncludingRightofuseAssetsLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Disclosure of reconciliation of changes in property, plant and equipment, including right-of-use assets [line items]</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfReconciliationOfChangesInPropertyPlantAndEquipmentIncludingRightofuseAssetsLineItems_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfReconciliationOfChangesInPropertyPlantAndEquipmentIncludingRightofuseAssetsLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of reconciliation of changes in property, plant and equipment, including right-of-use assets [line items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfReconciliationOfChangesInPropertyPlantAndEquipmentIncludingRightofuseAssetsLineItems" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfReconciliationOfChangesInPropertyPlantAndEquipmentIncludingRightofuseAssetsLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfReconciliationOfChangesInPropertyPlantAndEquipmentIncludingRightofuseAssetsLineItems" xlink:to="lab_ifrs-full_DisclosureOfReconciliationOfChangesInPropertyPlantAndEquipmentIncludingRightofuseAssetsLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_GainsOnChangeInFairValueOfDerivatives_019fae60-c133-795e-a909-39f59477a32f_terseLabel_en-US" xlink:label="lab_ifrs-full_GainsOnChangeInFairValueOfDerivatives" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair value gain (loss) on embedded derivatives</link:label>
    <link:label id="lab_ifrs-full_GainsOnChangeInFairValueOfDerivatives_label_en-US" xlink:label="lab_ifrs-full_GainsOnChangeInFairValueOfDerivatives" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Gains on change in fair value of derivatives</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_GainsOnChangeInFairValueOfDerivatives" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_GainsOnChangeInFairValueOfDerivatives"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_GainsOnChangeInFairValueOfDerivatives" xlink:to="lab_ifrs-full_GainsOnChangeInFairValueOfDerivatives" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_CashAndCashEquivalentsTable_019fae60-c253-71cf-ad1b-0e34b6022c8f_terseLabel_en-US" xlink:label="lab_lzm_CashAndCashEquivalentsTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cash and cash equivalents [Table]</link:label>
    <link:label id="lab_lzm_CashAndCashEquivalentsTable_label_en-US" xlink:label="lab_lzm_CashAndCashEquivalentsTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash and Cash Equivalents [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_CashAndCashEquivalentsTable" xlink:href="lzm-20260930.xsd#lzm_CashAndCashEquivalentsTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_CashAndCashEquivalentsTable" xlink:to="lab_lzm_CashAndCashEquivalentsTable" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_FinancialAssetsAtFairValueThroughProfitOrLossAbstract_019fae60-c1ca-7695-b154-fdb0248773b3_terseLabel_en-US" xlink:label="lab_ifrs-full_FinancialAssetsAtFairValueThroughProfitOrLossAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Financial assets at fair value through profit or loss [abstract]</link:label>
    <link:label id="lab_ifrs-full_FinancialAssetsAtFairValueThroughProfitOrLossAbstract_label_en-US" xlink:label="lab_ifrs-full_FinancialAssetsAtFairValueThroughProfitOrLossAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Financial assets at fair value through profit or loss [abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_FinancialAssetsAtFairValueThroughProfitOrLossAbstract" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_FinancialAssetsAtFairValueThroughProfitOrLossAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_FinancialAssetsAtFairValueThroughProfitOrLossAbstract" xlink:to="lab_ifrs-full_FinancialAssetsAtFairValueThroughProfitOrLossAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ExpectedVolatilityOtherEquityInstrumentsGranted_019fae60-c133-77d6-9e70-97b5f483588c_terseLabel_en-US" xlink:label="lab_lzm_ExpectedVolatilityOtherEquityInstrumentsGranted" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Expected volatility</link:label>
    <link:label id="lab_lzm_ExpectedVolatilityOtherEquityInstrumentsGranted_label_en-US" xlink:label="lab_lzm_ExpectedVolatilityOtherEquityInstrumentsGranted" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Expected Volatility, Other Equity Instruments Granted</link:label>
    <link:label id="lab_lzm_ExpectedVolatilityOtherEquityInstrumentsGranted_documentation_en-US" xlink:label="lab_lzm_ExpectedVolatilityOtherEquityInstrumentsGranted" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Expected Volatility, Other Equity Instruments Granted</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ExpectedVolatilityOtherEquityInstrumentsGranted" xlink:href="lzm-20260930.xsd#lzm_ExpectedVolatilityOtherEquityInstrumentsGranted"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ExpectedVolatilityOtherEquityInstrumentsGranted" xlink:to="lab_lzm_ExpectedVolatilityOtherEquityInstrumentsGranted" xlink:type="arc" order="1"/>
    <link:label id="lab_currency_USD_019fae60-c1ca-7225-87bf-697e4d27b650_terseLabel_en-US" xlink:label="lab_currency_USD" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">USD &#8211; United States dollar</link:label>
    <link:label id="lab_currency_USD_label_en-US" xlink:label="lab_currency_USD" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">United States of America, Dollars</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_currency_USD" xlink:href="https://xbrl.sec.gov/currency/2025/currency-2025.xsd#currency_USD"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_currency_USD" xlink:to="lab_currency_USD" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_BalanceAtBeginningOfYearEmbeddedDerivative_019fae60-c1ca-7c97-bb92-0875ac894169_periodStartLabel_en-US" xlink:label="lab_lzm_BalanceAtBeginningOfYearEmbeddedDerivative" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:type="resource" xml:lang="en-US">Beginning balance</link:label>
    <link:label id="lab_lzm_BalanceAtBeginningOfYearEmbeddedDerivative_label_en-US" xlink:label="lab_lzm_BalanceAtBeginningOfYearEmbeddedDerivative" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Balance At Beginning Of Year Embedded Derivative</link:label>
    <link:label id="lab_lzm_BalanceAtBeginningOfYearEmbeddedDerivative_documentation_en-US" xlink:label="lab_lzm_BalanceAtBeginningOfYearEmbeddedDerivative" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">The amount of embedded derivative</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_BalanceAtBeginningOfYearEmbeddedDerivative" xlink:href="lzm-20260930.xsd#lzm_BalanceAtBeginningOfYearEmbeddedDerivative"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_BalanceAtBeginningOfYearEmbeddedDerivative" xlink:to="lab_lzm_BalanceAtBeginningOfYearEmbeddedDerivative" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ExpenseArisingFromExplorationForAndEvaluationOfMineralResources_019fae60-c253-7202-a46b-31477f51da13_terseLabel_en-US" xlink:label="lab_ifrs-full_ExpenseArisingFromExplorationForAndEvaluationOfMineralResources" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest accrued</link:label>
    <link:label id="lab_ifrs-full_ExpenseArisingFromExplorationForAndEvaluationOfMineralResources_label_en-US" xlink:label="lab_ifrs-full_ExpenseArisingFromExplorationForAndEvaluationOfMineralResources" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Expense arising from exploration for and evaluation of mineral resources</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ExpenseArisingFromExplorationForAndEvaluationOfMineralResources" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ExpenseArisingFromExplorationForAndEvaluationOfMineralResources"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ExpenseArisingFromExplorationForAndEvaluationOfMineralResources" xlink:to="lab_ifrs-full_ExpenseArisingFromExplorationForAndEvaluationOfMineralResources" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_EmbeddedDerivativeLiabilityConversionPrice_019fae60-c1ca-7d4c-b6b4-869e2bcec964_terseLabel_en-US" xlink:label="lab_lzm_EmbeddedDerivativeLiabilityConversionPrice" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Conversion price (in dollars per share)</link:label>
    <link:label id="lab_lzm_EmbeddedDerivativeLiabilityConversionPrice_label_en-US" xlink:label="lab_lzm_EmbeddedDerivativeLiabilityConversionPrice" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Embedded Derivative Liability, Conversion Price</link:label>
    <link:label id="lab_lzm_EmbeddedDerivativeLiabilityConversionPrice_documentation_en-US" xlink:label="lab_lzm_EmbeddedDerivativeLiabilityConversionPrice" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Embedded Derivative Liability, Conversion Price</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_EmbeddedDerivativeLiabilityConversionPrice" xlink:href="lzm-20260930.xsd#lzm_EmbeddedDerivativeLiabilityConversionPrice"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_EmbeddedDerivativeLiabilityConversionPrice" xlink:to="lab_lzm_EmbeddedDerivativeLiabilityConversionPrice" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_EstimatedFinancialEffectOfContingentLiabilitiesAllegedUnpaidTaxesPenalty_019fae60-c133-7c2c-b666-6c08487093f5_terseLabel_en-US" xlink:label="lab_lzm_EstimatedFinancialEffectOfContingentLiabilitiesAllegedUnpaidTaxesPenalty" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Penalty on unpaid taxes</link:label>
    <link:label id="lab_lzm_EstimatedFinancialEffectOfContingentLiabilitiesAllegedUnpaidTaxesPenalty_label_en-US" xlink:label="lab_lzm_EstimatedFinancialEffectOfContingentLiabilitiesAllegedUnpaidTaxesPenalty" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Estimated Financial Effect Of Contingent Liabilities, Alleged Unpaid Taxes, Penalty</link:label>
    <link:label id="lab_lzm_EstimatedFinancialEffectOfContingentLiabilitiesAllegedUnpaidTaxesPenalty_documentation_en-US" xlink:label="lab_lzm_EstimatedFinancialEffectOfContingentLiabilitiesAllegedUnpaidTaxesPenalty" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Estimated Financial Effect Of Contingent Liabilities, Alleged Unpaid Taxes, Penalty</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_EstimatedFinancialEffectOfContingentLiabilitiesAllegedUnpaidTaxesPenalty" xlink:href="lzm-20260930.xsd#lzm_EstimatedFinancialEffectOfContingentLiabilitiesAllegedUnpaidTaxesPenalty"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_EstimatedFinancialEffectOfContingentLiabilitiesAllegedUnpaidTaxesPenalty" xlink:to="lab_lzm_EstimatedFinancialEffectOfContingentLiabilitiesAllegedUnpaidTaxesPenalty" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfRelatedPartyExplanatory_019fae60-c1ca-72d4-811b-d97c67bbebf9_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfRelatedPartyExplanatory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Related party transactions</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfRelatedPartyExplanatory_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfRelatedPartyExplanatory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of related party [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfRelatedPartyExplanatory" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfRelatedPartyExplanatory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfRelatedPartyExplanatory" xlink:to="lab_ifrs-full_DisclosureOfRelatedPartyExplanatory" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_DeferredFinancingCostsUtilisationOfStipulatedPeriod_019fae60-c253-7374-af89-a88f059f196e_terseLabel_en-US" xlink:label="lab_lzm_DeferredFinancingCostsUtilisationOfStipulatedPeriod" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Utilisation period</link:label>
    <link:label id="lab_lzm_DeferredFinancingCostsUtilisationOfStipulatedPeriod_label_en-US" xlink:label="lab_lzm_DeferredFinancingCostsUtilisationOfStipulatedPeriod" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Deferred Financing Costs, Utilisation Of Stipulated Period</link:label>
    <link:label id="lab_lzm_DeferredFinancingCostsUtilisationOfStipulatedPeriod_documentation_en-US" xlink:label="lab_lzm_DeferredFinancingCostsUtilisationOfStipulatedPeriod" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Deferred Financing Costs, Utilisation Of Stipulated Period</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_DeferredFinancingCostsUtilisationOfStipulatedPeriod" xlink:href="lzm-20260930.xsd#lzm_DeferredFinancingCostsUtilisationOfStipulatedPeriod"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_DeferredFinancingCostsUtilisationOfStipulatedPeriod" xlink:to="lab_lzm_DeferredFinancingCostsUtilisationOfStipulatedPeriod" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ClassesOfFinancialAssetsDomain_019fae60-c133-7f4a-8a09-37b7b74305d6_terseLabel_en-US" xlink:label="lab_ifrs-full_ClassesOfFinancialAssetsDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Classes of financial assets [domain]</link:label>
    <link:label id="lab_ifrs-full_ClassesOfFinancialAssetsDomain_label_en-US" xlink:label="lab_ifrs-full_ClassesOfFinancialAssetsDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Classes of financial assets [domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ClassesOfFinancialAssetsDomain" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ClassesOfFinancialAssetsDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ClassesOfFinancialAssetsDomain" xlink:to="lab_ifrs-full_ClassesOfFinancialAssetsDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_KeyManagementPersonnelCompensationShorttermEmployeeBonuses_019fae60-c1ca-750c-87d5-53da99d2f8ff_terseLabel_en-US" xlink:label="lab_lzm_KeyManagementPersonnelCompensationShorttermEmployeeBonuses" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Bonuses</link:label>
    <link:label id="lab_lzm_KeyManagementPersonnelCompensationShorttermEmployeeBonuses_label_en-US" xlink:label="lab_lzm_KeyManagementPersonnelCompensationShorttermEmployeeBonuses" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Key Management Personnel Compensation Shortterm Employee Bonuses</link:label>
    <link:label id="lab_lzm_KeyManagementPersonnelCompensationShorttermEmployeeBonuses_documentation_en-US" xlink:label="lab_lzm_KeyManagementPersonnelCompensationShorttermEmployeeBonuses" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Short-term employee bonuses.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_KeyManagementPersonnelCompensationShorttermEmployeeBonuses" xlink:href="lzm-20260930.xsd#lzm_KeyManagementPersonnelCompensationShorttermEmployeeBonuses"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_KeyManagementPersonnelCompensationShorttermEmployeeBonuses" xlink:to="lab_lzm_KeyManagementPersonnelCompensationShorttermEmployeeBonuses" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfIntangibleAssetsExplanatory_019fae60-c1ca-71ee-9d68-44af5ebdd392_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfIntangibleAssetsExplanatory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Patents and other intangible assets</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfIntangibleAssetsExplanatory_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfIntangibleAssetsExplanatory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of intangible assets [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfIntangibleAssetsExplanatory" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfIntangibleAssetsExplanatory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfIntangibleAssetsExplanatory" xlink:to="lab_ifrs-full_DisclosureOfIntangibleAssetsExplanatory" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_DescriptionOfInputsUsedInFairValueMeasurementDividendYield_019fae60-c1ca-7d26-83ad-409963181b44_terseLabel_en-US" xlink:label="lab_lzm_DescriptionOfInputsUsedInFairValueMeasurementDividendYield" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Dividend yield</link:label>
    <link:label id="lab_lzm_DescriptionOfInputsUsedInFairValueMeasurementDividendYield_label_en-US" xlink:label="lab_lzm_DescriptionOfInputsUsedInFairValueMeasurementDividendYield" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Description Of Inputs Used In Fair Value Measurement, Dividend Yield</link:label>
    <link:label id="lab_lzm_DescriptionOfInputsUsedInFairValueMeasurementDividendYield_documentation_en-US" xlink:label="lab_lzm_DescriptionOfInputsUsedInFairValueMeasurementDividendYield" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Description Of Inputs Used In Fair Value Measurement, Dividend Yield</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_DescriptionOfInputsUsedInFairValueMeasurementDividendYield" xlink:href="lzm-20260930.xsd#lzm_DescriptionOfInputsUsedInFairValueMeasurementDividendYield"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_DescriptionOfInputsUsedInFairValueMeasurementDividendYield" xlink:to="lab_lzm_DescriptionOfInputsUsedInFairValueMeasurementDividendYield" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisposalsPropertyPlantAndEquipmentIncludingRightofuseAssets_019fae60-c1ca-7a19-ae81-e6c422cfe97b_negatedLabel_en-US" xlink:label="lab_ifrs-full_DisposalsPropertyPlantAndEquipmentIncludingRightofuseAssets" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Disposals</link:label>
    <link:label id="lab_ifrs-full_DisposalsPropertyPlantAndEquipmentIncludingRightofuseAssets_label_en-US" xlink:label="lab_ifrs-full_DisposalsPropertyPlantAndEquipmentIncludingRightofuseAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disposals, property, plant and equipment including right-of-use assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisposalsPropertyPlantAndEquipmentIncludingRightofuseAssets" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisposalsPropertyPlantAndEquipmentIncludingRightofuseAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisposalsPropertyPlantAndEquipmentIncludingRightofuseAssets" xlink:to="lab_ifrs-full_DisposalsPropertyPlantAndEquipmentIncludingRightofuseAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_InterestExpenseOnLeaseLiabilities_019fae60-c253-743a-a0b5-812fa97886ae_terseLabel_en-US" xlink:label="lab_ifrs-full_InterestExpenseOnLeaseLiabilities" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest accretion on lease liabilities</link:label>
    <link:label id="lab_ifrs-full_InterestExpenseOnLeaseLiabilities_019fae60-c253-75fe-97e7-61be11d59106_verboseLabel_en-US" xlink:label="lab_ifrs-full_InterestExpenseOnLeaseLiabilities" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Interest accretion on lease liabilities</link:label>
    <link:label id="lab_ifrs-full_InterestExpenseOnLeaseLiabilities_label_en-US" xlink:label="lab_ifrs-full_InterestExpenseOnLeaseLiabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest expense on lease liabilities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_InterestExpenseOnLeaseLiabilities" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_InterestExpenseOnLeaseLiabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_InterestExpenseOnLeaseLiabilities" xlink:to="lab_ifrs-full_InterestExpenseOnLeaseLiabilities" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_TradeAndOtherPayables_019fae60-c1ca-7eca-8ad7-ada08a1c4dd4_totalLabel_en-US" xlink:label="lab_ifrs-full_TradeAndOtherPayables" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total trade and other payables</link:label>
    <link:label id="lab_ifrs-full_TradeAndOtherPayables_019fae60-c1ca-7ada-b06f-9991d2c233af_terseLabel_en-US" xlink:label="lab_ifrs-full_TradeAndOtherPayables" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Trade and other payables</link:label>
    <link:label id="lab_ifrs-full_TradeAndOtherPayables_label_en-US" xlink:label="lab_ifrs-full_TradeAndOtherPayables" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Trade and other payables</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_TradeAndOtherPayables" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_TradeAndOtherPayables"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_TradeAndOtherPayables" xlink:to="lab_ifrs-full_TradeAndOtherPayables" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_BorrowingsArrangementFeePercentage_019fae60-c133-7cc6-ad67-57456c92d1d5_terseLabel_en-US" xlink:label="lab_lzm_BorrowingsArrangementFeePercentage" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Arrangement fee percentage</link:label>
    <link:label id="lab_lzm_BorrowingsArrangementFeePercentage_label_en-US" xlink:label="lab_lzm_BorrowingsArrangementFeePercentage" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Borrowings, Arrangement Fee Percentage</link:label>
    <link:label id="lab_lzm_BorrowingsArrangementFeePercentage_documentation_en-US" xlink:label="lab_lzm_BorrowingsArrangementFeePercentage" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Borrowings, Arrangement Fee Percentage</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_BorrowingsArrangementFeePercentage" xlink:href="lzm-20260930.xsd#lzm_BorrowingsArrangementFeePercentage"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_BorrowingsArrangementFeePercentage" xlink:to="lab_lzm_BorrowingsArrangementFeePercentage" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_NetCurrentLiabilities_019fae60-c1ca-74b5-af9b-ec32afdbdc22_terseLabel_en-US" xlink:label="lab_lzm_NetCurrentLiabilities" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Net current liabilities</link:label>
    <link:label id="lab_lzm_NetCurrentLiabilities_label_en-US" xlink:label="lab_lzm_NetCurrentLiabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Net Current Liabilities</link:label>
    <link:label id="lab_lzm_NetCurrentLiabilities_documentation_en-US" xlink:label="lab_lzm_NetCurrentLiabilities" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Net Current Liabilities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_NetCurrentLiabilities" xlink:href="lzm-20260930.xsd#lzm_NetCurrentLiabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_NetCurrentLiabilities" xlink:to="lab_lzm_NetCurrentLiabilities" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_DeferredTaxLiabilityAcceleratedCapitalAllowances_01a18301-2ee3-7b56-8436-fbf4f62b833e_negatedTerseLabel_en-US" xlink:label="lab_lzm_DeferredTaxLiabilityAcceleratedCapitalAllowances" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Accelerated capital allowances</link:label>
    <link:label id="lab_lzm_DeferredTaxLiabilityAcceleratedCapitalAllowances_label_en-US" xlink:label="lab_lzm_DeferredTaxLiabilityAcceleratedCapitalAllowances" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Deferred Tax Liability, Accelerated Capital Allowances</link:label>
    <link:label id="lab_lzm_DeferredTaxLiabilityAcceleratedCapitalAllowances_documentation_en-US" xlink:label="lab_lzm_DeferredTaxLiabilityAcceleratedCapitalAllowances" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Deferred Tax Liability, Accelerated Capital Allowances</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_DeferredTaxLiabilityAcceleratedCapitalAllowances" xlink:href="lzm-20260930.xsd#lzm_DeferredTaxLiabilityAcceleratedCapitalAllowances"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_DeferredTaxLiabilityAcceleratedCapitalAllowances" xlink:to="lab_lzm_DeferredTaxLiabilityAcceleratedCapitalAllowances" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_SegmentConsolidationItemsDomain_019fae60-c1ca-7d0d-ba06-6a7ea20527b8_terseLabel_en-US" xlink:label="lab_ifrs-full_SegmentConsolidationItemsDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Segment consolidation items [domain]</link:label>
    <link:label id="lab_ifrs-full_SegmentConsolidationItemsDomain_label_en-US" xlink:label="lab_ifrs-full_SegmentConsolidationItemsDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Segment consolidation items [domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_SegmentConsolidationItemsDomain" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_SegmentConsolidationItemsDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_SegmentConsolidationItemsDomain" xlink:to="lab_ifrs-full_SegmentConsolidationItemsDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfDisaggregationOfRevenueFromContractsWithCustomersLineItems_019fae60-c1ca-735b-a463-4bdbe9ba699c_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfDisaggregationOfRevenueFromContractsWithCustomersLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Disclosure of disaggregation of revenue from contracts with customers [line items]</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfDisaggregationOfRevenueFromContractsWithCustomersLineItems_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfDisaggregationOfRevenueFromContractsWithCustomersLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of disaggregation of revenue from contracts with customers [line items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfDisaggregationOfRevenueFromContractsWithCustomersLineItems" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfDisaggregationOfRevenueFromContractsWithCustomersLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfDisaggregationOfRevenueFromContractsWithCustomersLineItems" xlink:to="lab_ifrs-full_DisclosureOfDisaggregationOfRevenueFromContractsWithCustomersLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfTradeAndOtherReceivablesExplanatory_019fae60-c1ca-701a-a969-330f5167854f_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfTradeAndOtherReceivablesExplanatory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Trade and other receivables</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfTradeAndOtherReceivablesExplanatory_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfTradeAndOtherReceivablesExplanatory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of trade and other receivables [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfTradeAndOtherReceivablesExplanatory" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfTradeAndOtherReceivablesExplanatory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfTradeAndOtherReceivablesExplanatory" xlink:to="lab_ifrs-full_DisclosureOfTradeAndOtherReceivablesExplanatory" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisposalsInvestmentProperty_019fae60-c253-7c68-9899-95d9f5646e37_negatedTerseLabel_en-US" xlink:label="lab_ifrs-full_DisposalsInvestmentProperty" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Disposals</link:label>
    <link:label id="lab_ifrs-full_DisposalsInvestmentProperty_label_en-US" xlink:label="lab_ifrs-full_DisposalsInvestmentProperty" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disposals, investment property</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisposalsInvestmentProperty" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisposalsInvestmentProperty"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisposalsInvestmentProperty" xlink:to="lab_ifrs-full_DisposalsInvestmentProperty" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_OtherIntangibleAssets_019fae60-c133-7496-8e0f-0dd0f34acf0a_terseLabel_en-US" xlink:label="lab_ifrs-full_OtherIntangibleAssets" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Other intangible assets</link:label>
    <link:label id="lab_ifrs-full_OtherIntangibleAssets_label_en-US" xlink:label="lab_ifrs-full_OtherIntangibleAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Other intangible assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_OtherIntangibleAssets" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_OtherIntangibleAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_OtherIntangibleAssets" xlink:to="lab_ifrs-full_OtherIntangibleAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_FinancingReceivableNonaccrualToOutstandingPercent_019fae60-c133-71d8-92ac-655c099f19d7_terseLabel_en-US" xlink:label="lab_srt_FinancingReceivableNonaccrualToOutstandingPercent" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Percentage of shares outstanding</link:label>
    <link:label id="lab_srt_FinancingReceivableNonaccrualToOutstandingPercent_label_en-US" xlink:label="lab_srt_FinancingReceivableNonaccrualToOutstandingPercent" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Financing Receivable, Nonaccrual to Outstanding, Percent</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_FinancingReceivableNonaccrualToOutstandingPercent" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_FinancingReceivableNonaccrualToOutstandingPercent"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_FinancingReceivableNonaccrualToOutstandingPercent" xlink:to="lab_srt_FinancingReceivableNonaccrualToOutstandingPercent" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DescriptionOfOptionLifeShareOptionsGranted_019fae60-c253-7398-9a4c-7e0afbdef1e4_terseLabel_en-US" xlink:label="lab_ifrs-full_DescriptionOfOptionLifeShareOptionsGranted" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Expected life:</link:label>
    <link:label id="lab_ifrs-full_DescriptionOfOptionLifeShareOptionsGranted_label_en-US" xlink:label="lab_ifrs-full_DescriptionOfOptionLifeShareOptionsGranted" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Option life, share options granted</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DescriptionOfOptionLifeShareOptionsGranted" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DescriptionOfOptionLifeShareOptionsGranted"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DescriptionOfOptionLifeShareOptionsGranted" xlink:to="lab_ifrs-full_DescriptionOfOptionLifeShareOptionsGranted" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_NumberOfSharesCancelled_019fae60-c133-7b55-86fa-1583b242568e_negatedLabel_en-US" xlink:label="lab_lzm_NumberOfSharesCancelled" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Cancellation of shares (in shares)</link:label>
    <link:label id="lab_lzm_NumberOfSharesCancelled_label_en-US" xlink:label="lab_lzm_NumberOfSharesCancelled" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number Of Shares Cancelled</link:label>
    <link:label id="lab_lzm_NumberOfSharesCancelled_documentation_en-US" xlink:label="lab_lzm_NumberOfSharesCancelled" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Number Of Shares Cancelled</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_NumberOfSharesCancelled" xlink:href="lzm-20260930.xsd#lzm_NumberOfSharesCancelled"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_NumberOfSharesCancelled" xlink:to="lab_lzm_NumberOfSharesCancelled" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_TransactionsCostsPertainingToSecondTranche_019fae60-c253-7e39-9338-382b46d58091_terseLabel_en-US" xlink:label="lab_lzm_TransactionsCostsPertainingToSecondTranche" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Transaction costs relating to second tranche</link:label>
    <link:label id="lab_lzm_TransactionsCostsPertainingToSecondTranche_label_en-US" xlink:label="lab_lzm_TransactionsCostsPertainingToSecondTranche" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Transactions Costs Pertaining To Second Tranche</link:label>
    <link:label id="lab_lzm_TransactionsCostsPertainingToSecondTranche_documentation_en-US" xlink:label="lab_lzm_TransactionsCostsPertainingToSecondTranche" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Transactions Costs Pertaining To Second Tranche</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_TransactionsCostsPertainingToSecondTranche" xlink:href="lzm-20260930.xsd#lzm_TransactionsCostsPertainingToSecondTranche"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_TransactionsCostsPertainingToSecondTranche" xlink:to="lab_lzm_TransactionsCostsPertainingToSecondTranche" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_CashFlowsFromUsedInOperatingActivities_019fae60-c1ca-7c8e-905a-c5c387ea118c_totalLabel_en-US" xlink:label="lab_ifrs-full_CashFlowsFromUsedInOperatingActivities" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Net cash used in operating activities</link:label>
    <link:label id="lab_ifrs-full_CashFlowsFromUsedInOperatingActivities_label_en-US" xlink:label="lab_ifrs-full_CashFlowsFromUsedInOperatingActivities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash flows from (used in) operating activities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_CashFlowsFromUsedInOperatingActivities" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_CashFlowsFromUsedInOperatingActivities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_CashFlowsFromUsedInOperatingActivities" xlink:to="lab_ifrs-full_CashFlowsFromUsedInOperatingActivities" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_NumberOfOtherEquityInstrumentsForfeitedInSharebasedPaymentArrangement_019fae60-c253-7c2a-ae0b-75fb0ddaed1e_terseLabel_en-US" xlink:label="lab_ifrs-full_NumberOfOtherEquityInstrumentsForfeitedInSharebasedPaymentArrangement" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Canceled (in shares)</link:label>
    <link:label id="lab_ifrs-full_NumberOfOtherEquityInstrumentsForfeitedInSharebasedPaymentArrangement_label_en-US" xlink:label="lab_ifrs-full_NumberOfOtherEquityInstrumentsForfeitedInSharebasedPaymentArrangement" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number of other equity instruments forfeited in share-based payment arrangement</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_NumberOfOtherEquityInstrumentsForfeitedInSharebasedPaymentArrangement" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_NumberOfOtherEquityInstrumentsForfeitedInSharebasedPaymentArrangement"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_NumberOfOtherEquityInstrumentsForfeitedInSharebasedPaymentArrangement" xlink:to="lab_ifrs-full_NumberOfOtherEquityInstrumentsForfeitedInSharebasedPaymentArrangement" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfTermsAndConditionsOfSharebasedPaymentArrangementLineItems_019fae60-c1ca-78e0-8da2-53c139430197_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfTermsAndConditionsOfSharebasedPaymentArrangementLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Disclosure of terms and conditions of share-based payment arrangement [line items]</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfTermsAndConditionsOfSharebasedPaymentArrangementLineItems_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfTermsAndConditionsOfSharebasedPaymentArrangementLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of terms and conditions of share-based payment arrangement [line items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfTermsAndConditionsOfSharebasedPaymentArrangementLineItems" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfTermsAndConditionsOfSharebasedPaymentArrangementLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfTermsAndConditionsOfSharebasedPaymentArrangementLineItems" xlink:to="lab_ifrs-full_DisclosureOfTermsAndConditionsOfSharebasedPaymentArrangementLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_FinancialAssetsHeldForManagingLiquidityRisk_019fae60-c133-7b08-b9b4-5884f3e0dfe0_terseLabel_en-US" xlink:label="lab_ifrs-full_FinancialAssetsHeldForManagingLiquidityRisk" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Financial assets held for managing liquidity risk</link:label>
    <link:label id="lab_ifrs-full_FinancialAssetsHeldForManagingLiquidityRisk_label_en-US" xlink:label="lab_ifrs-full_FinancialAssetsHeldForManagingLiquidityRisk" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Financial assets held for managing liquidity risk</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_FinancialAssetsHeldForManagingLiquidityRisk" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_FinancialAssetsHeldForManagingLiquidityRisk"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_FinancialAssetsHeldForManagingLiquidityRisk" xlink:to="lab_ifrs-full_FinancialAssetsHeldForManagingLiquidityRisk" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_NoncurrentLiabilitiesAbstract_019fae60-c133-7f1f-a466-76257c3c95ef_terseLabel_en-US" xlink:label="lab_ifrs-full_NoncurrentLiabilitiesAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Non-current liabilities</link:label>
    <link:label id="lab_ifrs-full_NoncurrentLiabilitiesAbstract_label_en-US" xlink:label="lab_ifrs-full_NoncurrentLiabilitiesAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Non-current liabilities [abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_NoncurrentLiabilitiesAbstract" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_NoncurrentLiabilitiesAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_NoncurrentLiabilitiesAbstract" xlink:to="lab_ifrs-full_NoncurrentLiabilitiesAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ContingentConsiderationPeriodPayablePostMinimumThresholdReached_019fae60-c1ca-7311-ba5f-d0a07bf42bbc_terseLabel_en-US" xlink:label="lab_lzm_ContingentConsiderationPeriodPayablePostMinimumThresholdReached" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Period payable for fixed cash payment</link:label>
    <link:label id="lab_lzm_ContingentConsiderationPeriodPayablePostMinimumThresholdReached_label_en-US" xlink:label="lab_lzm_ContingentConsiderationPeriodPayablePostMinimumThresholdReached" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Contingent Consideration, Period Payable Post Minimum Threshold Reached</link:label>
    <link:label id="lab_lzm_ContingentConsiderationPeriodPayablePostMinimumThresholdReached_documentation_en-US" xlink:label="lab_lzm_ContingentConsiderationPeriodPayablePostMinimumThresholdReached" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Contingent Consideration, Period Payable Post Minimum Threshold Reached</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ContingentConsiderationPeriodPayablePostMinimumThresholdReached" xlink:href="lzm-20260930.xsd#lzm_ContingentConsiderationPeriodPayablePostMinimumThresholdReached"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ContingentConsiderationPeriodPayablePostMinimumThresholdReached" xlink:to="lab_lzm_ContingentConsiderationPeriodPayablePostMinimumThresholdReached" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityDomain_019fae60-c133-71e7-9e0f-505115a28cf4_terseLabel_en-US" xlink:label="lab_dei_EntityDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Entity [Domain]</link:label>
    <link:label id="lab_dei_EntityDomain_label_en-US" xlink:label="lab_dei_EntityDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Entity [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityDomain" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityDomain" xlink:to="lab_dei_EntityDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfSharebasedPaymentArrangementsExplanatory_019fae60-c1ca-787e-98b7-16526c01a922_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfSharebasedPaymentArrangementsExplanatory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Share-based payments</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfSharebasedPaymentArrangementsExplanatory_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfSharebasedPaymentArrangementsExplanatory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of share-based payment arrangements [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfSharebasedPaymentArrangementsExplanatory" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfSharebasedPaymentArrangementsExplanatory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfSharebasedPaymentArrangementsExplanatory" xlink:to="lab_ifrs-full_DisclosureOfSharebasedPaymentArrangementsExplanatory" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_EarnoutTriggerEventTwoMember_019fae60-c253-7986-ae67-32d5d659c531_terseLabel_en-US" xlink:label="lab_lzm_EarnoutTriggerEventTwoMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Earnout Trigger Event 2</link:label>
    <link:label id="lab_lzm_EarnoutTriggerEventTwoMember_label_en-US" xlink:label="lab_lzm_EarnoutTriggerEventTwoMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Earnout Trigger Event Two [Member]</link:label>
    <link:label id="lab_lzm_EarnoutTriggerEventTwoMember_documentation_en-US" xlink:label="lab_lzm_EarnoutTriggerEventTwoMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Earnout Trigger Event Two</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_EarnoutTriggerEventTwoMember" xlink:href="lzm-20260930.xsd#lzm_EarnoutTriggerEventTwoMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_EarnoutTriggerEventTwoMember" xlink:to="lab_lzm_EarnoutTriggerEventTwoMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ShareOptionsExpiredInShareBasedPaymentArrangement_01a15afe-17c1-708e-80f6-ce5176399862_terseLabel_en-US" xlink:label="lab_lzm_ShareOptionsExpiredInShareBasedPaymentArrangement" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Expiration of stock options</link:label>
    <link:label id="lab_lzm_ShareOptionsExpiredInShareBasedPaymentArrangement_label_en-US" xlink:label="lab_lzm_ShareOptionsExpiredInShareBasedPaymentArrangement" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Share options expired in share-based payment arrangement</link:label>
    <link:label id="lab_lzm_ShareOptionsExpiredInShareBasedPaymentArrangement_documentation_en-US" xlink:label="lab_lzm_ShareOptionsExpiredInShareBasedPaymentArrangement" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Share options expired in share-based payment arrangement</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ShareOptionsExpiredInShareBasedPaymentArrangement" xlink:href="lzm-20260930.xsd#lzm_ShareOptionsExpiredInShareBasedPaymentArrangement"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ShareOptionsExpiredInShareBasedPaymentArrangement" xlink:to="lab_lzm_ShareOptionsExpiredInShareBasedPaymentArrangement" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_WarrantReserveMember_019fae60-c1ca-77f8-b4ba-af3577ff3873_terseLabel_en-US" xlink:label="lab_ifrs-full_WarrantReserveMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Warrant Reserves</link:label>
    <link:label id="lab_ifrs-full_WarrantReserveMember_label_en-US" xlink:label="lab_ifrs-full_WarrantReserveMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Warrant reserve [member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_WarrantReserveMember" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_WarrantReserveMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_WarrantReserveMember" xlink:to="lab_ifrs-full_WarrantReserveMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_BalanceAtEndOfYearEmbeddedDerivatives_019fae60-c133-74f3-a472-7db25b35b631_periodEndLabel_en-US" xlink:label="lab_lzm_BalanceAtEndOfYearEmbeddedDerivatives" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:type="resource" xml:lang="en-US">Ending balance</link:label>
    <link:label id="lab_lzm_BalanceAtEndOfYearEmbeddedDerivatives_label_en-US" xlink:label="lab_lzm_BalanceAtEndOfYearEmbeddedDerivatives" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Balance At End Of Year Embedded Derivatives</link:label>
    <link:label id="lab_lzm_BalanceAtEndOfYearEmbeddedDerivatives_documentation_en-US" xlink:label="lab_lzm_BalanceAtEndOfYearEmbeddedDerivatives" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">The amount of embedded derivative.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_BalanceAtEndOfYearEmbeddedDerivatives" xlink:href="lzm-20260930.xsd#lzm_BalanceAtEndOfYearEmbeddedDerivatives"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_BalanceAtEndOfYearEmbeddedDerivatives" xlink:to="lab_lzm_BalanceAtEndOfYearEmbeddedDerivatives" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_TemboNickelCorporationLimitedTNCLMember_019fae60-c133-73b6-a045-92ea6160bef5_terseLabel_en-US" xlink:label="lab_lzm_TemboNickelCorporationLimitedTNCLMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Tembo Nickel Corporation Limited (TNCL)</link:label>
    <link:label id="lab_lzm_TemboNickelCorporationLimitedTNCLMember_label_en-US" xlink:label="lab_lzm_TemboNickelCorporationLimitedTNCLMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Tembo Nickel Corporation Limited (TNCL) [Member]</link:label>
    <link:label id="lab_lzm_TemboNickelCorporationLimitedTNCLMember_documentation_en-US" xlink:label="lab_lzm_TemboNickelCorporationLimitedTNCLMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Tembo Nickel Corporation Limited (TNCL)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_TemboNickelCorporationLimitedTNCLMember" xlink:href="lzm-20260930.xsd#lzm_TemboNickelCorporationLimitedTNCLMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_TemboNickelCorporationLimitedTNCLMember" xlink:to="lab_lzm_TemboNickelCorporationLimitedTNCLMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_CurrentNotesAndDebenturesIssuedAndCurrentPortionOfNoncurrentNotesAndDebenturesIssued_019fae60-c1ca-783e-ba87-31a7af969b76_terseLabel_en-US" xlink:label="lab_ifrs-full_CurrentNotesAndDebenturesIssuedAndCurrentPortionOfNoncurrentNotesAndDebenturesIssued" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Convertible debentures</link:label>
    <link:label id="lab_ifrs-full_CurrentNotesAndDebenturesIssuedAndCurrentPortionOfNoncurrentNotesAndDebenturesIssued_label_en-US" xlink:label="lab_ifrs-full_CurrentNotesAndDebenturesIssuedAndCurrentPortionOfNoncurrentNotesAndDebenturesIssued" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Current notes and debentures issued and current portion of non-current notes and debentures issued</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_CurrentNotesAndDebenturesIssuedAndCurrentPortionOfNoncurrentNotesAndDebenturesIssued" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_CurrentNotesAndDebenturesIssuedAndCurrentPortionOfNoncurrentNotesAndDebenturesIssued"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_CurrentNotesAndDebenturesIssuedAndCurrentPortionOfNoncurrentNotesAndDebenturesIssued" xlink:to="lab_ifrs-full_CurrentNotesAndDebenturesIssuedAndCurrentPortionOfNoncurrentNotesAndDebenturesIssued" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_DocumentFiscalYearFocus_019fae60-c133-78ab-8adb-6aa1f5716eeb_terseLabel_en-US" xlink:label="lab_dei_DocumentFiscalYearFocus" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Document Fiscal Year Focus</link:label>
    <link:label id="lab_dei_DocumentFiscalYearFocus_label_en-US" xlink:label="lab_dei_DocumentFiscalYearFocus" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Document Fiscal Year Focus</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentFiscalYearFocus" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_DocumentFiscalYearFocus"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_DocumentFiscalYearFocus" xlink:to="lab_dei_DocumentFiscalYearFocus" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_AdjustmentsForReconcileProfitLossAbstract_019fae60-c1ca-7c71-adc4-7b4bd4880b2e_terseLabel_en-US" xlink:label="lab_ifrs-full_AdjustmentsForReconcileProfitLossAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Adjustments for:</link:label>
    <link:label id="lab_ifrs-full_AdjustmentsForReconcileProfitLossAbstract_label_en-US" xlink:label="lab_ifrs-full_AdjustmentsForReconcileProfitLossAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Adjustments to reconcile profit (loss) [abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_AdjustmentsForReconcileProfitLossAbstract" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_AdjustmentsForReconcileProfitLossAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_AdjustmentsForReconcileProfitLossAbstract" xlink:to="lab_ifrs-full_AdjustmentsForReconcileProfitLossAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_AdjustmentsForProvisionsForBadDebt_019fae60-c253-70cb-908f-d08be638357a_terseLabel_en-US" xlink:label="lab_lzm_AdjustmentsForProvisionsForBadDebt" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Provision for bad debt</link:label>
    <link:label id="lab_lzm_AdjustmentsForProvisionsForBadDebt_label_en-US" xlink:label="lab_lzm_AdjustmentsForProvisionsForBadDebt" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Adjustments For Provisions For Bad Debt</link:label>
    <link:label id="lab_lzm_AdjustmentsForProvisionsForBadDebt_documentation_en-US" xlink:label="lab_lzm_AdjustmentsForProvisionsForBadDebt" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Adjustments For Provisions For Bad Debt</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_AdjustmentsForProvisionsForBadDebt" xlink:href="lzm-20260930.xsd#lzm_AdjustmentsForProvisionsForBadDebt"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_AdjustmentsForProvisionsForBadDebt" xlink:to="lab_lzm_AdjustmentsForProvisionsForBadDebt" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_NewvisionMetalsPTE.LimitedMember_019fae60-c133-78b8-ad50-c7d5c8e918ac_terseLabel_en-US" xlink:label="lab_lzm_NewvisionMetalsPTE.LimitedMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">NewVision Metals PTE. Limited</link:label>
    <link:label id="lab_lzm_NewvisionMetalsPTE.LimitedMember_label_en-US" xlink:label="lab_lzm_NewvisionMetalsPTE.LimitedMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Newvision Metals PTE. Limited [Member]</link:label>
    <link:label id="lab_lzm_NewvisionMetalsPTE.LimitedMember_documentation_en-US" xlink:label="lab_lzm_NewvisionMetalsPTE.LimitedMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Newvision Metals PTE. Limited</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_NewvisionMetalsPTE.LimitedMember" xlink:href="lzm-20260930.xsd#lzm_NewvisionMetalsPTE.LimitedMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_NewvisionMetalsPTE.LimitedMember" xlink:to="lab_lzm_NewvisionMetalsPTE.LimitedMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfDetailedInformationAboutFinancialInstrumentsExplanatory_019fae60-c133-72e5-88b6-9ce80ec8d7b2_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfDetailedInformationAboutFinancialInstrumentsExplanatory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfDetailedInformationAboutFinancialInstrumentsExplanatory_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfDetailedInformationAboutFinancialInstrumentsExplanatory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of detailed information about financial instruments [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfDetailedInformationAboutFinancialInstrumentsExplanatory" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfDetailedInformationAboutFinancialInstrumentsExplanatory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfDetailedInformationAboutFinancialInstrumentsExplanatory" xlink:to="lab_ifrs-full_DisclosureOfDetailedInformationAboutFinancialInstrumentsExplanatory" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_KabangaNickelCompanyLtdMember_019fae60-c253-7063-a0be-edb9ab236056_terseLabel_en-US" xlink:label="lab_lzm_KabangaNickelCompanyLtdMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Kabanga Nickel Company Ltd</link:label>
    <link:label id="lab_lzm_KabangaNickelCompanyLtdMember_label_en-US" xlink:label="lab_lzm_KabangaNickelCompanyLtdMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Kabanga Nickel Company Ltd [Member]</link:label>
    <link:label id="lab_lzm_KabangaNickelCompanyLtdMember_documentation_en-US" xlink:label="lab_lzm_KabangaNickelCompanyLtdMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Kabanga Nickel Company Ltd</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_KabangaNickelCompanyLtdMember" xlink:href="lzm-20260930.xsd#lzm_KabangaNickelCompanyLtdMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_KabangaNickelCompanyLtdMember" xlink:to="lab_lzm_KabangaNickelCompanyLtdMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ForfeitureRateAsPercentageShareOptionsGranted_019fae60-c253-7328-b6e5-44c33d008728_terseLabel_en-US" xlink:label="lab_lzm_ForfeitureRateAsPercentageShareOptionsGranted" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Forfeiture rate</link:label>
    <link:label id="lab_lzm_ForfeitureRateAsPercentageShareOptionsGranted_label_en-US" xlink:label="lab_lzm_ForfeitureRateAsPercentageShareOptionsGranted" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Forfeiture Rate As Percentage, Share Options Granted</link:label>
    <link:label id="lab_lzm_ForfeitureRateAsPercentageShareOptionsGranted_documentation_en-US" xlink:label="lab_lzm_ForfeitureRateAsPercentageShareOptionsGranted" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Forfeiture Rate As Percentage, Share Options Granted</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ForfeitureRateAsPercentageShareOptionsGranted" xlink:href="lzm-20260930.xsd#lzm_ForfeitureRateAsPercentageShareOptionsGranted"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ForfeitureRateAsPercentageShareOptionsGranted" xlink:to="lab_lzm_ForfeitureRateAsPercentageShareOptionsGranted" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_PurchasePricePerShare_019fae60-c253-726e-b77a-59969ed8dc17_terseLabel_en-US" xlink:label="lab_lzm_PurchasePricePerShare" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Purchase price ( in dollars per share)</link:label>
    <link:label id="lab_lzm_PurchasePricePerShare_label_en-US" xlink:label="lab_lzm_PurchasePricePerShare" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Purchase Price Per Share</link:label>
    <link:label id="lab_lzm_PurchasePricePerShare_documentation_en-US" xlink:label="lab_lzm_PurchasePricePerShare" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Purchase Price Per Share</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_PurchasePricePerShare" xlink:href="lzm-20260930.xsd#lzm_PurchasePricePerShare"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_PurchasePricePerShare" xlink:to="lab_lzm_PurchasePricePerShare" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ContingentConsiderationMinimumThresholdAggregateFundingRaised_019fae60-c133-7290-998e-def7b761da17_terseLabel_en-US" xlink:label="lab_lzm_ContingentConsiderationMinimumThresholdAggregateFundingRaised" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Aggregate funding</link:label>
    <link:label id="lab_lzm_ContingentConsiderationMinimumThresholdAggregateFundingRaised_label_en-US" xlink:label="lab_lzm_ContingentConsiderationMinimumThresholdAggregateFundingRaised" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Contingent Consideration, Minimum Threshold, Aggregate Funding Raised</link:label>
    <link:label id="lab_lzm_ContingentConsiderationMinimumThresholdAggregateFundingRaised_documentation_en-US" xlink:label="lab_lzm_ContingentConsiderationMinimumThresholdAggregateFundingRaised" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US"></link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ContingentConsiderationMinimumThresholdAggregateFundingRaised" xlink:href="lzm-20260930.xsd#lzm_ContingentConsiderationMinimumThresholdAggregateFundingRaised"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ContingentConsiderationMinimumThresholdAggregateFundingRaised" xlink:to="lab_lzm_ContingentConsiderationMinimumThresholdAggregateFundingRaised" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ExplorationAndEvaluationAssetMember_019fae60-c253-701f-8235-7f08d1019511_terseLabel_en-US" xlink:label="lab_lzm_ExplorationAndEvaluationAssetMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Exploration and evaluation asset</link:label>
    <link:label id="lab_lzm_ExplorationAndEvaluationAssetMember_label_en-US" xlink:label="lab_lzm_ExplorationAndEvaluationAssetMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Exploration And Evaluation Asset [Member]</link:label>
    <link:label id="lab_lzm_ExplorationAndEvaluationAssetMember_documentation_en-US" xlink:label="lab_lzm_ExplorationAndEvaluationAssetMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Exploration And Evaluation Asset</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ExplorationAndEvaluationAssetMember" xlink:href="lzm-20260930.xsd#lzm_ExplorationAndEvaluationAssetMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ExplorationAndEvaluationAssetMember" xlink:to="lab_lzm_ExplorationAndEvaluationAssetMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_DirectOfferingWarrantsMember_019fae60-c1ca-71ff-9f1a-13889539abba_terseLabel_en-US" xlink:label="lab_lzm_DirectOfferingWarrantsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Direct Offering Warrants</link:label>
    <link:label id="lab_lzm_DirectOfferingWarrantsMember_label_en-US" xlink:label="lab_lzm_DirectOfferingWarrantsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Direct Offering Warrants [Member]</link:label>
    <link:label id="lab_lzm_DirectOfferingWarrantsMember_documentation_en-US" xlink:label="lab_lzm_DirectOfferingWarrantsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Direct Offering Warrants</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_DirectOfferingWarrantsMember" xlink:href="lzm-20260930.xsd#lzm_DirectOfferingWarrantsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_DirectOfferingWarrantsMember" xlink:to="lab_lzm_DirectOfferingWarrantsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_DisclosureOfInterestExpenseTableTextBlock_019fae60-c133-7d50-afe9-a14f860aac56_terseLabel_en-US" xlink:label="lab_lzm_DisclosureOfInterestExpenseTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Interest Expense</link:label>
    <link:label id="lab_lzm_DisclosureOfInterestExpenseTableTextBlock_label_en-US" xlink:label="lab_lzm_DisclosureOfInterestExpenseTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure Of Interest Expense [Table Text Block]</link:label>
    <link:label id="lab_lzm_DisclosureOfInterestExpenseTableTextBlock_documentation_en-US" xlink:label="lab_lzm_DisclosureOfInterestExpenseTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Disclosure of interest expense.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_DisclosureOfInterestExpenseTableTextBlock" xlink:href="lzm-20260930.xsd#lzm_DisclosureOfInterestExpenseTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_DisclosureOfInterestExpenseTableTextBlock" xlink:to="lab_lzm_DisclosureOfInterestExpenseTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_NumberOfCountries_019fae60-c1ca-7ad1-b7ef-44fa8aa42dc4_terseLabel_en-US" xlink:label="lab_lzm_NumberOfCountries" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Number of countries</link:label>
    <link:label id="lab_lzm_NumberOfCountries_label_en-US" xlink:label="lab_lzm_NumberOfCountries" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number Of Countries</link:label>
    <link:label id="lab_lzm_NumberOfCountries_documentation_en-US" xlink:label="lab_lzm_NumberOfCountries" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Number Of Countries</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_NumberOfCountries" xlink:href="lzm-20260930.xsd#lzm_NumberOfCountries"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_NumberOfCountries" xlink:to="lab_lzm_NumberOfCountries" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_OtherCurrencyMember_019fae60-c253-7f49-8641-724dbae9f98c_terseLabel_en-US" xlink:label="lab_srt_OtherCurrencyMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Other currencies</link:label>
    <link:label id="lab_srt_OtherCurrencyMember_label_en-US" xlink:label="lab_srt_OtherCurrencyMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Other Currency [Member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_OtherCurrencyMember" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_OtherCurrencyMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_OtherCurrencyMember" xlink:to="lab_srt_OtherCurrencyMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_KeyManagementPersonnelCompensation_019fae60-c1ca-750f-9711-fde65821c534_terseLabel_en-US" xlink:label="lab_ifrs-full_KeyManagementPersonnelCompensation" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Total key management compensation</link:label>
    <link:label id="lab_ifrs-full_KeyManagementPersonnelCompensation_019fae60-c1ca-72aa-8951-7f98467bb6ab_totalLabel_en-US" xlink:label="lab_ifrs-full_KeyManagementPersonnelCompensation" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Remuneration of key management personnel</link:label>
    <link:label id="lab_ifrs-full_KeyManagementPersonnelCompensation_label_en-US" xlink:label="lab_ifrs-full_KeyManagementPersonnelCompensation" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Key management personnel compensation</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_KeyManagementPersonnelCompensation" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_KeyManagementPersonnelCompensation"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_KeyManagementPersonnelCompensation" xlink:to="lab_ifrs-full_KeyManagementPersonnelCompensation" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_SharesHeldInEscrowAccount_019fae60-c253-723f-8b2e-81f2e560b21d_terseLabel_en-US" xlink:label="lab_lzm_SharesHeldInEscrowAccount" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Shares held in escrow account (in shares)</link:label>
    <link:label id="lab_lzm_SharesHeldInEscrowAccount_label_en-US" xlink:label="lab_lzm_SharesHeldInEscrowAccount" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Shares Held In Escrow Account</link:label>
    <link:label id="lab_lzm_SharesHeldInEscrowAccount_documentation_en-US" xlink:label="lab_lzm_SharesHeldInEscrowAccount" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Shares Held In Escrow Account</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_SharesHeldInEscrowAccount" xlink:href="lzm-20260930.xsd#lzm_SharesHeldInEscrowAccount"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_SharesHeldInEscrowAccount" xlink:to="lab_lzm_SharesHeldInEscrowAccount" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DilutiveEffectOfShareOptionsOnNumberOfOrdinaryShares_019fae60-c1ca-74ad-8b2d-766514a25b24_terseLabel_en-US" xlink:label="lab_ifrs-full_DilutiveEffectOfShareOptionsOnNumberOfOrdinaryShares" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Stock options (in shares)</link:label>
    <link:label id="lab_ifrs-full_DilutiveEffectOfShareOptionsOnNumberOfOrdinaryShares_label_en-US" xlink:label="lab_ifrs-full_DilutiveEffectOfShareOptionsOnNumberOfOrdinaryShares" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Dilutive effect of share options on weighted average number of ordinary shares</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DilutiveEffectOfShareOptionsOnNumberOfOrdinaryShares" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DilutiveEffectOfShareOptionsOnNumberOfOrdinaryShares"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DilutiveEffectOfShareOptionsOnNumberOfOrdinaryShares" xlink:to="lab_ifrs-full_DilutiveEffectOfShareOptionsOnNumberOfOrdinaryShares" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfEarningsPerShareExplanatory_019fae60-c133-7bf9-9c5b-16869164cf92_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfEarningsPerShareExplanatory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Loss per share</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfEarningsPerShareExplanatory_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfEarningsPerShareExplanatory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of earnings per share [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfEarningsPerShareExplanatory" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfEarningsPerShareExplanatory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfEarningsPerShareExplanatory" xlink:to="lab_ifrs-full_DisclosureOfEarningsPerShareExplanatory" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_GrossCarryingAmountMember_019fae60-c1ca-779f-b12c-66fb41ef4a8b_terseLabel_en-US" xlink:label="lab_ifrs-full_GrossCarryingAmountMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Cost</link:label>
    <link:label id="lab_ifrs-full_GrossCarryingAmountMember_label_en-US" xlink:label="lab_ifrs-full_GrossCarryingAmountMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Gross carrying amount [member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_GrossCarryingAmountMember" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_GrossCarryingAmountMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_GrossCarryingAmountMember" xlink:to="lab_ifrs-full_GrossCarryingAmountMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_TradeAndOtherCurrentPayables_019fae60-c253-7676-a764-72e406307dbe_terseLabel_en-US" xlink:label="lab_ifrs-full_TradeAndOtherCurrentPayables" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Trade and other payables</link:label>
    <link:label id="lab_ifrs-full_TradeAndOtherCurrentPayables_label_en-US" xlink:label="lab_ifrs-full_TradeAndOtherCurrentPayables" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Trade and other current payables</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_TradeAndOtherCurrentPayables" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_TradeAndOtherCurrentPayables"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_TradeAndOtherCurrentPayables" xlink:to="lab_ifrs-full_TradeAndOtherCurrentPayables" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_DecreaseInSharePriceVolatilityWouldResultInDecreaseInFairValue_019fae60-c253-7839-912a-4af3f89a45ae_terseLabel_en-US" xlink:label="lab_lzm_DecreaseInSharePriceVolatilityWouldResultInDecreaseInFairValue" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Decrease in share price volatility result in decrease in fair value</link:label>
    <link:label id="lab_lzm_DecreaseInSharePriceVolatilityWouldResultInDecreaseInFairValue_label_en-US" xlink:label="lab_lzm_DecreaseInSharePriceVolatilityWouldResultInDecreaseInFairValue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Decrease In Share Price Volatility Would Result In Decrease In Fair Value</link:label>
    <link:label id="lab_lzm_DecreaseInSharePriceVolatilityWouldResultInDecreaseInFairValue_documentation_en-US" xlink:label="lab_lzm_DecreaseInSharePriceVolatilityWouldResultInDecreaseInFairValue" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Decrease In Share Price Volatility Would Result In Decrease In Fair Value</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_DecreaseInSharePriceVolatilityWouldResultInDecreaseInFairValue" xlink:href="lzm-20260930.xsd#lzm_DecreaseInSharePriceVolatilityWouldResultInDecreaseInFairValue"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_DecreaseInSharePriceVolatilityWouldResultInDecreaseInFairValue" xlink:to="lab_lzm_DecreaseInSharePriceVolatilityWouldResultInDecreaseInFairValue" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_FairValueOfWarrantsPerShare_019fae60-c253-747f-820c-ad6eeff7384f_terseLabel_en-US" xlink:label="lab_lzm_FairValueOfWarrantsPerShare" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair value of warrants (in dollars per share)</link:label>
    <link:label id="lab_lzm_FairValueOfWarrantsPerShare_label_en-US" xlink:label="lab_lzm_FairValueOfWarrantsPerShare" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value Of Warrants Per Share</link:label>
    <link:label id="lab_lzm_FairValueOfWarrantsPerShare_documentation_en-US" xlink:label="lab_lzm_FairValueOfWarrantsPerShare" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Fair Value Of Warrants Per Share</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_FairValueOfWarrantsPerShare" xlink:href="lzm-20260930.xsd#lzm_FairValueOfWarrantsPerShare"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_FairValueOfWarrantsPerShare" xlink:to="lab_lzm_FairValueOfWarrantsPerShare" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_BorrowingsOptionToExtendTerm_019fae60-c1ca-767f-9252-2e8a43393336_terseLabel_en-US" xlink:label="lab_lzm_BorrowingsOptionToExtendTerm" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Option to extend term</link:label>
    <link:label id="lab_lzm_BorrowingsOptionToExtendTerm_label_en-US" xlink:label="lab_lzm_BorrowingsOptionToExtendTerm" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Borrowings, Option To Extend, Term</link:label>
    <link:label id="lab_lzm_BorrowingsOptionToExtendTerm_documentation_en-US" xlink:label="lab_lzm_BorrowingsOptionToExtendTerm" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Borrowings, Option To Extend, Term</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_BorrowingsOptionToExtendTerm" xlink:href="lzm-20260930.xsd#lzm_BorrowingsOptionToExtendTerm"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_BorrowingsOptionToExtendTerm" xlink:to="lab_lzm_BorrowingsOptionToExtendTerm" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_GainsLossesOnExchangeDifferencesOnTranslationNetOfTax_019fae60-c253-7f5d-b14c-33139ee09e36_terseLabel_en-US" xlink:label="lab_ifrs-full_GainsLossesOnExchangeDifferencesOnTranslationNetOfTax" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Exchange (loss) gain on translation of foreign operations</link:label>
    <link:label id="lab_ifrs-full_GainsLossesOnExchangeDifferencesOnTranslationNetOfTax_label_en-US" xlink:label="lab_ifrs-full_GainsLossesOnExchangeDifferencesOnTranslationNetOfTax" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Gains (losses) on exchange differences on translation of foreign operations, net of tax</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_GainsLossesOnExchangeDifferencesOnTranslationNetOfTax" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_GainsLossesOnExchangeDifferencesOnTranslationNetOfTax"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_GainsLossesOnExchangeDifferencesOnTranslationNetOfTax" xlink:to="lab_ifrs-full_GainsLossesOnExchangeDifferencesOnTranslationNetOfTax" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ProceedsFromIssuingShares_019fae60-c1ca-7796-b8c8-815cb9212888_terseLabel_en-US" xlink:label="lab_ifrs-full_ProceedsFromIssuingShares" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Gross proceeds from registered direct offering</link:label>
    <link:label id="lab_ifrs-full_ProceedsFromIssuingShares_label_en-US" xlink:label="lab_ifrs-full_ProceedsFromIssuingShares" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Proceeds from issuing shares</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ProceedsFromIssuingShares" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ProceedsFromIssuingShares"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ProceedsFromIssuingShares" xlink:to="lab_ifrs-full_ProceedsFromIssuingShares" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_SellingGeneralAndAdministrativeExpenseAbstract_019fae60-c133-74af-ae6f-abcd36056af9_terseLabel_en-US" xlink:label="lab_ifrs-full_SellingGeneralAndAdministrativeExpenseAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Selling, general and administrative expense [abstract]</link:label>
    <link:label id="lab_ifrs-full_SellingGeneralAndAdministrativeExpenseAbstract_label_en-US" xlink:label="lab_ifrs-full_SellingGeneralAndAdministrativeExpenseAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Selling, general and administrative expense [abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_SellingGeneralAndAdministrativeExpenseAbstract" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_SellingGeneralAndAdministrativeExpenseAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_SellingGeneralAndAdministrativeExpenseAbstract" xlink:to="lab_ifrs-full_SellingGeneralAndAdministrativeExpenseAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_IntellectualProperty1Member_019fae60-c1ca-7715-8ba3-0e536bae2f65_terseLabel_en-US" xlink:label="lab_lzm_IntellectualProperty1Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Intellectual Property</link:label>
    <link:label id="lab_lzm_IntellectualProperty1Member_label_en-US" xlink:label="lab_lzm_IntellectualProperty1Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Intellectual Property1 [Member]</link:label>
    <link:label id="lab_lzm_IntellectualProperty1Member_documentation_en-US" xlink:label="lab_lzm_IntellectualProperty1Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Intellectual Property1</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_IntellectualProperty1Member" xlink:href="lzm-20260930.xsd#lzm_IntellectualProperty1Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_IntellectualProperty1Member" xlink:to="lab_lzm_IntellectualProperty1Member" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ChrisShowalterOneMember_019fae60-c1ca-7577-b507-d2b79fedca93_terseLabel_en-US" xlink:label="lab_lzm_ChrisShowalterOneMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Chris Showalter</link:label>
    <link:label id="lab_lzm_ChrisShowalterOneMember_label_en-US" xlink:label="lab_lzm_ChrisShowalterOneMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Chris Showalter One [Member]</link:label>
    <link:label id="lab_lzm_ChrisShowalterOneMember_documentation_en-US" xlink:label="lab_lzm_ChrisShowalterOneMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Chris Showalter One</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ChrisShowalterOneMember" xlink:href="lzm-20260930.xsd#lzm_ChrisShowalterOneMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ChrisShowalterOneMember" xlink:to="lab_lzm_ChrisShowalterOneMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_FeeAndCommissionIncome_019fae60-c253-7371-8704-02b08db07df2_terseLabel_en-US" xlink:label="lab_ifrs-full_FeeAndCommissionIncome" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fee and commission income</link:label>
    <link:label id="lab_ifrs-full_FeeAndCommissionIncome_label_en-US" xlink:label="lab_ifrs-full_FeeAndCommissionIncome" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fee and commission income</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_FeeAndCommissionIncome" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_FeeAndCommissionIncome"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_FeeAndCommissionIncome" xlink:to="lab_ifrs-full_FeeAndCommissionIncome" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_InterestAccrued_019fae60-c1ca-7b9b-80b6-b14074403ced_terseLabel_en-US" xlink:label="lab_lzm_InterestAccrued" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest accrued</link:label>
    <link:label id="lab_lzm_InterestAccrued_label_en-US" xlink:label="lab_lzm_InterestAccrued" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest Accrued</link:label>
    <link:label id="lab_lzm_InterestAccrued_documentation_en-US" xlink:label="lab_lzm_InterestAccrued" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Interest Accrued</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_InterestAccrued" xlink:href="lzm-20260930.xsd#lzm_InterestAccrued"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_InterestAccrued" xlink:to="lab_lzm_InterestAccrued" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_GerickMoutonMember_019fae60-c253-71f5-822c-b6408e7fe6c3_terseLabel_en-US" xlink:label="lab_lzm_GerickMoutonMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Gerick Mouton</link:label>
    <link:label id="lab_lzm_GerickMoutonMember_label_en-US" xlink:label="lab_lzm_GerickMoutonMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Gerick Mouton [Member]</link:label>
    <link:label id="lab_lzm_GerickMoutonMember_documentation_en-US" xlink:label="lab_lzm_GerickMoutonMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Gerick Mouton</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_GerickMoutonMember" xlink:href="lzm-20260930.xsd#lzm_GerickMoutonMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_GerickMoutonMember" xlink:to="lab_lzm_GerickMoutonMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_AdjustmentsForImpairmentLossReversalOfImpairmentLossRecognisedInProfitOrLossTradeAndOtherReceivables_019fae60-c1ca-770f-a848-6823fdbdfaf4_terseLabel_en-US" xlink:label="lab_ifrs-full_AdjustmentsForImpairmentLossReversalOfImpairmentLossRecognisedInProfitOrLossTradeAndOtherReceivables" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Impairment of VAT receivable</link:label>
    <link:label id="lab_ifrs-full_AdjustmentsForImpairmentLossReversalOfImpairmentLossRecognisedInProfitOrLossTradeAndOtherReceivables_label_en-US" xlink:label="lab_ifrs-full_AdjustmentsForImpairmentLossReversalOfImpairmentLossRecognisedInProfitOrLossTradeAndOtherReceivables" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Adjustments for impairment loss (reversal of impairment loss) recognised in profit or loss, trade and other receivables</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_AdjustmentsForImpairmentLossReversalOfImpairmentLossRecognisedInProfitOrLossTradeAndOtherReceivables" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_AdjustmentsForImpairmentLossReversalOfImpairmentLossRecognisedInProfitOrLossTradeAndOtherReceivables"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_AdjustmentsForImpairmentLossReversalOfImpairmentLossRecognisedInProfitOrLossTradeAndOtherReceivables" xlink:to="lab_ifrs-full_AdjustmentsForImpairmentLossReversalOfImpairmentLossRecognisedInProfitOrLossTradeAndOtherReceivables" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_AdjustmentsForDecreaseIncreaseInInventories_019fae60-c1ca-7fbd-aeda-d22bdaafed4b_terseLabel_en-US" xlink:label="lab_ifrs-full_AdjustmentsForDecreaseIncreaseInInventories" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Changes in inventories</link:label>
    <link:label id="lab_ifrs-full_AdjustmentsForDecreaseIncreaseInInventories_label_en-US" xlink:label="lab_ifrs-full_AdjustmentsForDecreaseIncreaseInInventories" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Adjustments for decrease (increase) in inventories</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_AdjustmentsForDecreaseIncreaseInInventories" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_AdjustmentsForDecreaseIncreaseInInventories"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_AdjustmentsForDecreaseIncreaseInInventories" xlink:to="lab_ifrs-full_AdjustmentsForDecreaseIncreaseInInventories" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_PropertyPlantAndEquipmentMember_019fae60-c1ca-7f54-a890-ef2087b9c3ad_terseLabel_en-US" xlink:label="lab_ifrs-full_PropertyPlantAndEquipmentMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Total Property and equipment</link:label>
    <link:label id="lab_ifrs-full_PropertyPlantAndEquipmentMember_label_en-US" xlink:label="lab_ifrs-full_PropertyPlantAndEquipmentMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Property, plant and equipment [member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_PropertyPlantAndEquipmentMember" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_PropertyPlantAndEquipmentMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_PropertyPlantAndEquipmentMember" xlink:to="lab_ifrs-full_PropertyPlantAndEquipmentMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_UnsecuredConvertibleDebenturesBearInterestTerm_019fae60-c1ca-7e9a-88b8-a63de87bdbb8_terseLabel_en-US" xlink:label="lab_lzm_UnsecuredConvertibleDebenturesBearInterestTerm" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Unsecured convertible debentures bear interest term</link:label>
    <link:label id="lab_lzm_UnsecuredConvertibleDebenturesBearInterestTerm_label_en-US" xlink:label="lab_lzm_UnsecuredConvertibleDebenturesBearInterestTerm" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Unsecured Convertible Debentures Bear Interest Term</link:label>
    <link:label id="lab_lzm_UnsecuredConvertibleDebenturesBearInterestTerm_documentation_en-US" xlink:label="lab_lzm_UnsecuredConvertibleDebenturesBearInterestTerm" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Unsecured convertible debentures bear interest term.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_UnsecuredConvertibleDebenturesBearInterestTerm" xlink:href="lzm-20260930.xsd#lzm_UnsecuredConvertibleDebenturesBearInterestTerm"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_UnsecuredConvertibleDebenturesBearInterestTerm" xlink:to="lab_lzm_UnsecuredConvertibleDebenturesBearInterestTerm" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_PaymentsOfLeaseLiabilitiesClassifiedAsFinancingActivities_019fae60-c133-769c-836d-5d5c35fc43f2_negatedLabel_en-US" xlink:label="lab_ifrs-full_PaymentsOfLeaseLiabilitiesClassifiedAsFinancingActivities" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Payment of lease liabilities</link:label>
    <link:label id="lab_ifrs-full_PaymentsOfLeaseLiabilitiesClassifiedAsFinancingActivities_019fae60-c133-72a9-8265-912aa5439174_negatedTerseLabel_en-US" xlink:label="lab_ifrs-full_PaymentsOfLeaseLiabilitiesClassifiedAsFinancingActivities" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Payments</link:label>
    <link:label id="lab_ifrs-full_PaymentsOfLeaseLiabilitiesClassifiedAsFinancingActivities_label_en-US" xlink:label="lab_ifrs-full_PaymentsOfLeaseLiabilitiesClassifiedAsFinancingActivities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Payments of lease liabilities, classified as financing activities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_PaymentsOfLeaseLiabilitiesClassifiedAsFinancingActivities" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_PaymentsOfLeaseLiabilitiesClassifiedAsFinancingActivities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_PaymentsOfLeaseLiabilitiesClassifiedAsFinancingActivities" xlink:to="lab_ifrs-full_PaymentsOfLeaseLiabilitiesClassifiedAsFinancingActivities" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ProportionOfOwnershipInterestInSubsidiary_019fae60-c133-70f8-8baa-e39795c52b68_terseLabel_en-US" xlink:label="lab_ifrs-full_ProportionOfOwnershipInterestInSubsidiary" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Percentage of Ownership (%)</link:label>
    <link:label id="lab_ifrs-full_ProportionOfOwnershipInterestInSubsidiary_label_en-US" xlink:label="lab_ifrs-full_ProportionOfOwnershipInterestInSubsidiary" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Proportion of ownership interest in subsidiary</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ProportionOfOwnershipInterestInSubsidiary" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ProportionOfOwnershipInterestInSubsidiary"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ProportionOfOwnershipInterestInSubsidiary" xlink:to="lab_ifrs-full_ProportionOfOwnershipInterestInSubsidiary" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_EntityRegistrantName_019fae60-c1ca-70ec-ab7c-c1069b431664_terseLabel_en-US" xlink:label="lab_dei_EntityRegistrantName" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Entity Registrant Name</link:label>
    <link:label id="lab_dei_EntityRegistrantName_label_en-US" xlink:label="lab_dei_EntityRegistrantName" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Entity Registrant Name</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_EntityRegistrantName"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_EntityRegistrantName" xlink:to="lab_dei_EntityRegistrantName" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_BasicEarningsLossPerShare_019fae60-c253-7d62-bafc-b87b13f7616a_verboseLabel_en-US" xlink:label="lab_ifrs-full_BasicEarningsLossPerShare" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Basic (in dollars per share)</link:label>
    <link:label id="lab_ifrs-full_BasicEarningsLossPerShare_label_en-US" xlink:label="lab_ifrs-full_BasicEarningsLossPerShare" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Basic earnings (loss) per share</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_BasicEarningsLossPerShare" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_BasicEarningsLossPerShare"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_BasicEarningsLossPerShare" xlink:to="lab_ifrs-full_BasicEarningsLossPerShare" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_GainsLossesOfFairValueOnWarrants_019fae60-c253-7095-bd72-2cbee7765da1_negatedTerseLabel_en-US" xlink:label="lab_lzm_GainsLossesOfFairValueOnWarrants" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Gain on remeasurement of warrants</link:label>
    <link:label id="lab_lzm_GainsLossesOfFairValueOnWarrants_019fae60-c253-7d9f-a747-16d504cf666f_terseLabel_en-US" xlink:label="lab_lzm_GainsLossesOfFairValueOnWarrants" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair value gain on warrants</link:label>
    <link:label id="lab_lzm_GainsLossesOfFairValueOnWarrants_label_en-US" xlink:label="lab_lzm_GainsLossesOfFairValueOnWarrants" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Gains (Losses) Of Fair Value On Warrants</link:label>
    <link:label id="lab_lzm_GainsLossesOfFairValueOnWarrants_documentation_en-US" xlink:label="lab_lzm_GainsLossesOfFairValueOnWarrants" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Gains (Losses) Of Fair Value On Warrants</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_GainsLossesOfFairValueOnWarrants" xlink:href="lzm-20260930.xsd#lzm_GainsLossesOfFairValueOnWarrants"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_GainsLossesOfFairValueOnWarrants" xlink:to="lab_lzm_GainsLossesOfFairValueOnWarrants" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_FairValueOfPublicWarrants_019fae60-c133-7baf-b7b8-cc6f2d9cf4a5_terseLabel_en-US" xlink:label="lab_lzm_FairValueOfPublicWarrants" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Warrants, fair value</link:label>
    <link:label id="lab_lzm_FairValueOfPublicWarrants_label_en-US" xlink:label="lab_lzm_FairValueOfPublicWarrants" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value Of Public Warrants</link:label>
    <link:label id="lab_lzm_FairValueOfPublicWarrants_documentation_en-US" xlink:label="lab_lzm_FairValueOfPublicWarrants" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Represent the value of public warrants, fair value.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_FairValueOfPublicWarrants" xlink:href="lzm-20260930.xsd#lzm_FairValueOfPublicWarrants"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_FairValueOfPublicWarrants" xlink:to="lab_lzm_FairValueOfPublicWarrants" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_AdjustmentsForUnrealisedForeignExchangeLossesGains_019fae60-c133-707f-a241-7f8681f0ec1d_terseLabel_en-US" xlink:label="lab_ifrs-full_AdjustmentsForUnrealisedForeignExchangeLossesGains" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Unrealized foreign exchange gain</link:label>
    <link:label id="lab_ifrs-full_AdjustmentsForUnrealisedForeignExchangeLossesGains_label_en-US" xlink:label="lab_ifrs-full_AdjustmentsForUnrealisedForeignExchangeLossesGains" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Adjustments for unrealised foreign exchange losses (gains)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_AdjustmentsForUnrealisedForeignExchangeLossesGains" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_AdjustmentsForUnrealisedForeignExchangeLossesGains"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_AdjustmentsForUnrealisedForeignExchangeLossesGains" xlink:to="lab_ifrs-full_AdjustmentsForUnrealisedForeignExchangeLossesGains" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_MeasurementAxis_019fae60-c1ca-73bd-a145-b213bb75c05f_terseLabel_en-US" xlink:label="lab_ifrs-full_MeasurementAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Measurement [axis]</link:label>
    <link:label id="lab_ifrs-full_MeasurementAxis_label_en-US" xlink:label="lab_ifrs-full_MeasurementAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Measurement [axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_MeasurementAxis" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_MeasurementAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_MeasurementAxis" xlink:to="lab_ifrs-full_MeasurementAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_NumberOfSharesIssueOfSharesFromWarrantsExercised_019fae60-c253-7fb0-9397-2dffeb18cf7b_terseLabel_en-US" xlink:label="lab_lzm_NumberOfSharesIssueOfSharesFromWarrantsExercised" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Issue of shares on exercise of warrants (in shares)</link:label>
    <link:label id="lab_lzm_NumberOfSharesIssueOfSharesFromWarrantsExercised_label_en-US" xlink:label="lab_lzm_NumberOfSharesIssueOfSharesFromWarrantsExercised" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number Of Shares Issue Of Shares From Warrants Exercised</link:label>
    <link:label id="lab_lzm_NumberOfSharesIssueOfSharesFromWarrantsExercised_documentation_en-US" xlink:label="lab_lzm_NumberOfSharesIssueOfSharesFromWarrantsExercised" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Represent the share value of Issue of shares from warrants exercised.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_NumberOfSharesIssueOfSharesFromWarrantsExercised" xlink:href="lzm-20260930.xsd#lzm_NumberOfSharesIssueOfSharesFromWarrantsExercised"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_NumberOfSharesIssueOfSharesFromWarrantsExercised" xlink:to="lab_lzm_NumberOfSharesIssueOfSharesFromWarrantsExercised" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_UnsecuredConvertibleDebenturesMember_019fae60-c133-72a3-9fad-c4f1750c16d4_terseLabel_en-US" xlink:label="lab_lzm_UnsecuredConvertibleDebenturesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Unsecured Convertible Debentures</link:label>
    <link:label id="lab_lzm_UnsecuredConvertibleDebenturesMember_label_en-US" xlink:label="lab_lzm_UnsecuredConvertibleDebenturesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Unsecured Convertible Debentures [Member]</link:label>
    <link:label id="lab_lzm_UnsecuredConvertibleDebenturesMember_documentation_en-US" xlink:label="lab_lzm_UnsecuredConvertibleDebenturesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Unsecured Convertible Debentures</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_UnsecuredConvertibleDebenturesMember" xlink:href="lzm-20260930.xsd#lzm_UnsecuredConvertibleDebenturesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_UnsecuredConvertibleDebenturesMember" xlink:to="lab_lzm_UnsecuredConvertibleDebenturesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_AdjustedWeightedAverageShares_019fae60-c253-72ab-bea3-46048b2399d8_totalLabel_en-US" xlink:label="lab_ifrs-full_AdjustedWeightedAverageShares" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Diluted weighted-average outstanding ordinary shares (in shares)</link:label>
    <link:label id="lab_ifrs-full_AdjustedWeightedAverageShares_label_en-US" xlink:label="lab_ifrs-full_AdjustedWeightedAverageShares" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Weighted average number of ordinary shares used in calculating diluted earnings per share</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_AdjustedWeightedAverageShares" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_AdjustedWeightedAverageShares"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_AdjustedWeightedAverageShares" xlink:to="lab_ifrs-full_AdjustedWeightedAverageShares" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_Investment_019fae60-c253-7c10-83dc-eb2ef2ad6eb1_terseLabel_en-US" xlink:label="lab_lzm_Investment" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Investment amount</link:label>
    <link:label id="lab_lzm_Investment_label_en-US" xlink:label="lab_lzm_Investment" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Investment</link:label>
    <link:label id="lab_lzm_Investment_documentation_en-US" xlink:label="lab_lzm_Investment" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">The amount of investments.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_Investment" xlink:href="lzm-20260930.xsd#lzm_Investment"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_Investment" xlink:to="lab_lzm_Investment" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ConsolidatedStructuredEntitiesAxis_019fae60-c1ca-73ff-9ecc-10c628f69fbc_terseLabel_en-US" xlink:label="lab_ifrs-full_ConsolidatedStructuredEntitiesAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Consolidated structured entities [axis]</link:label>
    <link:label id="lab_ifrs-full_ConsolidatedStructuredEntitiesAxis_label_en-US" xlink:label="lab_ifrs-full_ConsolidatedStructuredEntitiesAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Consolidated structured entities [axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ConsolidatedStructuredEntitiesAxis" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ConsolidatedStructuredEntitiesAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ConsolidatedStructuredEntitiesAxis" xlink:to="lab_ifrs-full_ConsolidatedStructuredEntitiesAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_AdjustmentsForSharebasedPayments_019fae60-c1ca-7fea-84da-28c669afa76a_terseLabel_en-US" xlink:label="lab_ifrs-full_AdjustmentsForSharebasedPayments" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Share-based compensation expense</link:label>
    <link:label id="lab_ifrs-full_AdjustmentsForSharebasedPayments_label_en-US" xlink:label="lab_ifrs-full_AdjustmentsForSharebasedPayments" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Adjustments for share-based payments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_AdjustmentsForSharebasedPayments" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_AdjustmentsForSharebasedPayments"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_AdjustmentsForSharebasedPayments" xlink:to="lab_ifrs-full_AdjustmentsForSharebasedPayments" xlink:type="arc" order="1"/>
    <link:label id="lab_currency_TZS_019fae60-c133-7df2-aa61-180b29b0f56f_terseLabel_en-US" xlink:label="lab_currency_TZS" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">TZS &#8211; Tanzanian Shilling</link:label>
    <link:label id="lab_currency_TZS_label_en-US" xlink:label="lab_currency_TZS" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Tanzania, Shillings</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_currency_TZS" xlink:href="https://xbrl.sec.gov/currency/2025/currency-2025.xsd#currency_TZS"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_currency_TZS" xlink:to="lab_currency_TZS" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_WarrantLiability_019fae60-c253-7b82-b39c-6e81ce01918b_periodStartLabel_en-US" xlink:label="lab_ifrs-full_WarrantLiability" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:type="resource" xml:lang="en-US">Beginning balance</link:label>
    <link:label id="lab_ifrs-full_WarrantLiability_019fae60-c253-7644-b1d9-31c3e5a851cd_periodEndLabel_en-US" xlink:label="lab_ifrs-full_WarrantLiability" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:type="resource" xml:lang="en-US">Ending balance</link:label>
    <link:label id="lab_ifrs-full_WarrantLiability_label_en-US" xlink:label="lab_ifrs-full_WarrantLiability" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Warrant liability</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_WarrantLiability" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_WarrantLiability"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_WarrantLiability" xlink:to="lab_ifrs-full_WarrantLiability" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ClassesOfIntangibleAssetsAndGoodwillAxis_019fae60-c133-799e-a359-b4000fc51e2d_terseLabel_en-US" xlink:label="lab_ifrs-full_ClassesOfIntangibleAssetsAndGoodwillAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Classes of intangible assets and goodwill [axis]</link:label>
    <link:label id="lab_ifrs-full_ClassesOfIntangibleAssetsAndGoodwillAxis_label_en-US" xlink:label="lab_ifrs-full_ClassesOfIntangibleAssetsAndGoodwillAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Classes of intangible assets and goodwill [axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ClassesOfIntangibleAssetsAndGoodwillAxis" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ClassesOfIntangibleAssetsAndGoodwillAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ClassesOfIntangibleAssetsAndGoodwillAxis" xlink:to="lab_ifrs-full_ClassesOfIntangibleAssetsAndGoodwillAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_DisclosureOfOtherReceivablesTableTextBlock_019fae60-c133-76f0-90a4-04f7e34bc45a_terseLabel_en-US" xlink:label="lab_lzm_DisclosureOfOtherReceivablesTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Other Receivables</link:label>
    <link:label id="lab_lzm_DisclosureOfOtherReceivablesTableTextBlock_label_en-US" xlink:label="lab_lzm_DisclosureOfOtherReceivablesTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure Of Other Receivables [Table Text Block]</link:label>
    <link:label id="lab_lzm_DisclosureOfOtherReceivablesTableTextBlock_documentation_en-US" xlink:label="lab_lzm_DisclosureOfOtherReceivablesTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">The disclosure of other receivables. [Refer: Trade and other receivables]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_DisclosureOfOtherReceivablesTableTextBlock" xlink:href="lzm-20260930.xsd#lzm_DisclosureOfOtherReceivablesTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_DisclosureOfOtherReceivablesTableTextBlock" xlink:to="lab_lzm_DisclosureOfOtherReceivablesTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_UnusedTaxLossesForWhichNoDeferredTaxAssetRecognisedRightOfUseAssetsNetOfLeaseLiabilities_01a15b19-795b-76b8-a2df-32f4d937fbf4_terseLabel_en-US" xlink:label="lab_lzm_UnusedTaxLossesForWhichNoDeferredTaxAssetRecognisedRightOfUseAssetsNetOfLeaseLiabilities" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Lease liabilities</link:label>
    <link:label id="lab_lzm_UnusedTaxLossesForWhichNoDeferredTaxAssetRecognisedRightOfUseAssetsNetOfLeaseLiabilities_label_en-US" xlink:label="lab_lzm_UnusedTaxLossesForWhichNoDeferredTaxAssetRecognisedRightOfUseAssetsNetOfLeaseLiabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Unused tax losses for which no deferred tax asset recognised, right of use assets net of lease liabilities</link:label>
    <link:label id="lab_lzm_UnusedTaxLossesForWhichNoDeferredTaxAssetRecognisedRightOfUseAssetsNetOfLeaseLiabilities_documentation_en-US" xlink:label="lab_lzm_UnusedTaxLossesForWhichNoDeferredTaxAssetRecognisedRightOfUseAssetsNetOfLeaseLiabilities" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Unused tax losses for which no deferred tax asset recognised, right of use assets net of lease liabilities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_UnusedTaxLossesForWhichNoDeferredTaxAssetRecognisedRightOfUseAssetsNetOfLeaseLiabilities" xlink:href="lzm-20260930.xsd#lzm_UnusedTaxLossesForWhichNoDeferredTaxAssetRecognisedRightOfUseAssetsNetOfLeaseLiabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_UnusedTaxLossesForWhichNoDeferredTaxAssetRecognisedRightOfUseAssetsNetOfLeaseLiabilities" xlink:to="lab_lzm_UnusedTaxLossesForWhichNoDeferredTaxAssetRecognisedRightOfUseAssetsNetOfLeaseLiabilities" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_A2026StockOptionsGrantMember_019fae60-c253-77cc-8799-2683f72aa263_terseLabel_en-US" xlink:label="lab_lzm_A2026StockOptionsGrantMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">2026 Stock Options Grant</link:label>
    <link:label id="lab_lzm_A2026StockOptionsGrantMember_label_en-US" xlink:label="lab_lzm_A2026StockOptionsGrantMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">2026 Stock Options Grant [Member]</link:label>
    <link:label id="lab_lzm_A2026StockOptionsGrantMember_documentation_en-US" xlink:label="lab_lzm_A2026StockOptionsGrantMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">2026 Stock Options Grant</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_A2026StockOptionsGrantMember" xlink:href="lzm-20260930.xsd#lzm_A2026StockOptionsGrantMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_A2026StockOptionsGrantMember" xlink:to="lab_lzm_A2026StockOptionsGrantMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_TrancheOneMember_019fae60-c253-75c3-98b1-e491bbc48408_terseLabel_en-US" xlink:label="lab_lzm_TrancheOneMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Tranche 1</link:label>
    <link:label id="lab_lzm_TrancheOneMember_label_en-US" xlink:label="lab_lzm_TrancheOneMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Tranche One [Member]</link:label>
    <link:label id="lab_lzm_TrancheOneMember_documentation_en-US" xlink:label="lab_lzm_TrancheOneMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Tranche One</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_TrancheOneMember" xlink:href="lzm-20260930.xsd#lzm_TrancheOneMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_TrancheOneMember" xlink:to="lab_lzm_TrancheOneMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_NoncontrollingInterests_019fae60-c1ca-7be8-9140-a52b4cbfa4cf_verboseLabel_en-US" xlink:label="lab_ifrs-full_NoncontrollingInterests" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Non-controlling interests</link:label>
    <link:label id="lab_ifrs-full_NoncontrollingInterests_019fae60-c1ca-7824-a410-08ad7b449d69_terseLabel_en-US" xlink:label="lab_ifrs-full_NoncontrollingInterests" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Non-controlling interests</link:label>
    <link:label id="lab_ifrs-full_NoncontrollingInterests_label_en-US" xlink:label="lab_ifrs-full_NoncontrollingInterests" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Non-controlling interests</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_NoncontrollingInterests" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_NoncontrollingInterests"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_NoncontrollingInterests" xlink:to="lab_ifrs-full_NoncontrollingInterests" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_SegmentConsolidationItemsAxis_019fae60-c1ca-798c-a308-a723edfde364_terseLabel_en-US" xlink:label="lab_ifrs-full_SegmentConsolidationItemsAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Segment consolidation items [axis]</link:label>
    <link:label id="lab_ifrs-full_SegmentConsolidationItemsAxis_label_en-US" xlink:label="lab_ifrs-full_SegmentConsolidationItemsAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Segment consolidation items [axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_SegmentConsolidationItemsAxis" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_SegmentConsolidationItemsAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_SegmentConsolidationItemsAxis" xlink:to="lab_ifrs-full_SegmentConsolidationItemsAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_WarrantsMember_019fae60-c133-7b76-ae66-13cc48350dd6_terseLabel_en-US" xlink:label="lab_ifrs-full_WarrantsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Warrant units</link:label>
    <link:label id="lab_ifrs-full_WarrantsMember_label_en-US" xlink:label="lab_ifrs-full_WarrantsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Warrants [member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_WarrantsMember" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_WarrantsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_WarrantsMember" xlink:to="lab_ifrs-full_WarrantsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfReconciliationOfChangesInIntangibleAssetsAndGoodwillExplanatory_019fae60-c1ca-7e42-9172-57f3124b512a_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfReconciliationOfChangesInIntangibleAssetsAndGoodwillExplanatory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Patents and Other Intangibles</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfReconciliationOfChangesInIntangibleAssetsAndGoodwillExplanatory_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfReconciliationOfChangesInIntangibleAssetsAndGoodwillExplanatory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of reconciliation of changes in intangible assets and goodwill [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfReconciliationOfChangesInIntangibleAssetsAndGoodwillExplanatory" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfReconciliationOfChangesInIntangibleAssetsAndGoodwillExplanatory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfReconciliationOfChangesInIntangibleAssetsAndGoodwillExplanatory" xlink:to="lab_ifrs-full_DisclosureOfReconciliationOfChangesInIntangibleAssetsAndGoodwillExplanatory" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_WeightedAverageExercisePriceOfShareOptionsExercisableInSharebasedPaymentArrangement2019_019fae60-c253-732f-aaa6-5a10dae5727a_terseLabel_en-US" xlink:label="lab_ifrs-full_WeightedAverageExercisePriceOfShareOptionsExercisableInSharebasedPaymentArrangement2019" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Excercisable (in dollars per share)</link:label>
    <link:label id="lab_ifrs-full_WeightedAverageExercisePriceOfShareOptionsExercisableInSharebasedPaymentArrangement2019_label_en-US" xlink:label="lab_ifrs-full_WeightedAverageExercisePriceOfShareOptionsExercisableInSharebasedPaymentArrangement2019" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Weighted average exercise price of share options exercisable in share-based payment arrangement</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_WeightedAverageExercisePriceOfShareOptionsExercisableInSharebasedPaymentArrangement2019" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_WeightedAverageExercisePriceOfShareOptionsExercisableInSharebasedPaymentArrangement2019"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_WeightedAverageExercisePriceOfShareOptionsExercisableInSharebasedPaymentArrangement2019" xlink:to="lab_ifrs-full_WeightedAverageExercisePriceOfShareOptionsExercisableInSharebasedPaymentArrangement2019" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ProfitLossAttributableToNoncontrollingInterests_019fae60-c1ca-7141-af63-c6571bfe538b_terseLabel_en-US" xlink:label="lab_ifrs-full_ProfitLossAttributableToNoncontrollingInterests" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Attributable to non-controlling interests</link:label>
    <link:label id="lab_ifrs-full_ProfitLossAttributableToNoncontrollingInterests_label_en-US" xlink:label="lab_ifrs-full_ProfitLossAttributableToNoncontrollingInterests" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Profit (loss), attributable to non-controlling interests</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ProfitLossAttributableToNoncontrollingInterests" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ProfitLossAttributableToNoncontrollingInterests"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ProfitLossAttributableToNoncontrollingInterests" xlink:to="lab_ifrs-full_ProfitLossAttributableToNoncontrollingInterests" xlink:type="arc" order="1"/>
    <link:label id="lab_currency_AllCurrenciesDomain_019fae60-c1ca-7a02-8c29-32a604c782a7_terseLabel_en-US" xlink:label="lab_currency_AllCurrenciesDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">All Currencies [Domain]</link:label>
    <link:label id="lab_currency_AllCurrenciesDomain_label_en-US" xlink:label="lab_currency_AllCurrenciesDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">All Currencies [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_currency_AllCurrenciesDomain" xlink:href="https://xbrl.sec.gov/currency/2025/currency-2025.xsd#currency_AllCurrenciesDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_currency_AllCurrenciesDomain" xlink:to="lab_currency_AllCurrenciesDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_EquityAbstract_019fae60-c1ca-7cd4-84f1-d55bf2a6c7d8_terseLabel_en-US" xlink:label="lab_ifrs-full_EquityAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Equity</link:label>
    <link:label id="lab_ifrs-full_EquityAbstract_label_en-US" xlink:label="lab_ifrs-full_EquityAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Equity [abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_EquityAbstract" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_EquityAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_EquityAbstract" xlink:to="lab_ifrs-full_EquityAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_OtherExpenseByNature_019fae60-c253-74b2-adf1-1554857c53de_terseLabel_en-US" xlink:label="lab_ifrs-full_OtherExpenseByNature" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Legal fees</link:label>
    <link:label id="lab_ifrs-full_OtherExpenseByNature_label_en-US" xlink:label="lab_ifrs-full_OtherExpenseByNature" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Other expenses, by nature</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_OtherExpenseByNature" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_OtherExpenseByNature"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_OtherExpenseByNature" xlink:to="lab_ifrs-full_OtherExpenseByNature" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfDisaggregationOfRevenueFromContractsWithCustomersTable_019fae60-c253-710a-9664-9562a3acc140_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfDisaggregationOfRevenueFromContractsWithCustomersTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Disclosure of disaggregation of revenue from contracts with customers [table]</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfDisaggregationOfRevenueFromContractsWithCustomersTable_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfDisaggregationOfRevenueFromContractsWithCustomersTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of disaggregation of revenue from contracts with customers [table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfDisaggregationOfRevenueFromContractsWithCustomersTable" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfDisaggregationOfRevenueFromContractsWithCustomersTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfDisaggregationOfRevenueFromContractsWithCustomersTable" xlink:to="lab_ifrs-full_DisclosureOfDisaggregationOfRevenueFromContractsWithCustomersTable" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfFinancialInstrumentsAbstract_019fae60-c133-7e46-b53b-e4d639865b38_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfFinancialInstrumentsAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Disclosure of detailed information about financial instruments [abstract]</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfFinancialInstrumentsAbstract_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfFinancialInstrumentsAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of detailed information about financial instruments [abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfFinancialInstrumentsAbstract" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfFinancialInstrumentsAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfFinancialInstrumentsAbstract" xlink:to="lab_ifrs-full_DisclosureOfFinancialInstrumentsAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_SegmentInformationAbstract_label_en-US" xlink:label="lab_lzm_SegmentInformationAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Segment information [Abstract]</link:label>
    <link:label id="lab_lzm_SegmentInformationAbstract_documentation_en-US" xlink:label="lab_lzm_SegmentInformationAbstract" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Segment information</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_SegmentInformationAbstract" xlink:href="lzm-20260930.xsd#lzm_SegmentInformationAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_SegmentInformationAbstract" xlink:to="lab_lzm_SegmentInformationAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ProceedsFromExerciseOfOptions_019fae60-c253-7f90-a765-5eea927c066b_terseLabel_en-US" xlink:label="lab_ifrs-full_ProceedsFromExerciseOfOptions" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Proceeds from exercise of stock options</link:label>
    <link:label id="lab_ifrs-full_ProceedsFromExerciseOfOptions_label_en-US" xlink:label="lab_ifrs-full_ProceedsFromExerciseOfOptions" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Proceeds from exercise of options</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ProceedsFromExerciseOfOptions" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ProceedsFromExerciseOfOptions"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ProceedsFromExerciseOfOptions" xlink:to="lab_ifrs-full_ProceedsFromExerciseOfOptions" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfTransactionsBetweenRelatedPartiesAbstract_019fae60-c253-7907-b274-cf39baaf17f0_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfTransactionsBetweenRelatedPartiesAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Disclosure of transactions between related parties [abstract]</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfTransactionsBetweenRelatedPartiesAbstract_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfTransactionsBetweenRelatedPartiesAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of transactions between related parties [abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfTransactionsBetweenRelatedPartiesAbstract" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfTransactionsBetweenRelatedPartiesAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfTransactionsBetweenRelatedPartiesAbstract" xlink:to="lab_ifrs-full_DisclosureOfTransactionsBetweenRelatedPartiesAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_UnsecuredConvertibleDebenturesPrice_019fae60-c1ca-7727-a040-b93997f9281f_terseLabel_en-US" xlink:label="lab_lzm_UnsecuredConvertibleDebenturesPrice" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Unsecured convertible debentures price (in dollars per share)</link:label>
    <link:label id="lab_lzm_UnsecuredConvertibleDebenturesPrice_label_en-US" xlink:label="lab_lzm_UnsecuredConvertibleDebenturesPrice" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Unsecured Convertible Debentures Price</link:label>
    <link:label id="lab_lzm_UnsecuredConvertibleDebenturesPrice_documentation_en-US" xlink:label="lab_lzm_UnsecuredConvertibleDebenturesPrice" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Number of unsecured convertible debentures price.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_UnsecuredConvertibleDebenturesPrice" xlink:href="lzm-20260930.xsd#lzm_UnsecuredConvertibleDebenturesPrice"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_UnsecuredConvertibleDebenturesPrice" xlink:to="lab_lzm_UnsecuredConvertibleDebenturesPrice" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_CarryingAmountOfFinancialAssetsMember_019fae60-c1ca-700e-b09d-b0c8bad56d84_terseLabel_en-US" xlink:label="lab_lzm_CarryingAmountOfFinancialAssetsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Financial assets</link:label>
    <link:label id="lab_lzm_CarryingAmountOfFinancialAssetsMember_label_en-US" xlink:label="lab_lzm_CarryingAmountOfFinancialAssetsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Carrying Amount Of Financial Assets [Member]</link:label>
    <link:label id="lab_lzm_CarryingAmountOfFinancialAssetsMember_documentation_en-US" xlink:label="lab_lzm_CarryingAmountOfFinancialAssetsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Carrying Amount Of Financial Assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_CarryingAmountOfFinancialAssetsMember" xlink:href="lzm-20260930.xsd#lzm_CarryingAmountOfFinancialAssetsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_CarryingAmountOfFinancialAssetsMember" xlink:to="lab_lzm_CarryingAmountOfFinancialAssetsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ScheduleOfRestrictedStockUnitsSharesRollForward_019fae60-c1ca-7c44-9d8f-58befee596ff_terseLabel_en-US" xlink:label="lab_lzm_ScheduleOfRestrictedStockUnitsSharesRollForward" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Restricted stock units</link:label>
    <link:label id="lab_lzm_ScheduleOfRestrictedStockUnitsSharesRollForward_label_en-US" xlink:label="lab_lzm_ScheduleOfRestrictedStockUnitsSharesRollForward" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule Of Restricted Stock Units, Shares [Roll Forward]</link:label>
    <link:label id="lab_lzm_ScheduleOfRestrictedStockUnitsSharesRollForward_documentation_en-US" xlink:label="lab_lzm_ScheduleOfRestrictedStockUnitsSharesRollForward" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Schedule Of Restricted Stock Units, Shares</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ScheduleOfRestrictedStockUnitsSharesRollForward" xlink:href="lzm-20260930.xsd#lzm_ScheduleOfRestrictedStockUnitsSharesRollForward"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ScheduleOfRestrictedStockUnitsSharesRollForward" xlink:to="lab_lzm_ScheduleOfRestrictedStockUnitsSharesRollForward" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_FinancialRiskReviewDetailsScheduleOfCarryingAmountOfFinancialAssetsRepresentsTheMaximumCreditExposureTable_019fae60-c253-79ce-a882-b68cd37bb0e9_terseLabel_en-US" xlink:label="lab_lzm_FinancialRiskReviewDetailsScheduleOfCarryingAmountOfFinancialAssetsRepresentsTheMaximumCreditExposureTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Financial Risk Review (Details) - Schedule of Carrying Amount of Financial Assets Represents the Maximum Credit Exposure [Table]</link:label>
    <link:label id="lab_lzm_FinancialRiskReviewDetailsScheduleOfCarryingAmountOfFinancialAssetsRepresentsTheMaximumCreditExposureTable_label_en-US" xlink:label="lab_lzm_FinancialRiskReviewDetailsScheduleOfCarryingAmountOfFinancialAssetsRepresentsTheMaximumCreditExposureTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Financial Risk Review (Details) - Schedule of Carrying Amount of Financial Assets Represents the Maximum Credit Exposure [Table]</link:label>
    <link:label id="lab_lzm_FinancialRiskReviewDetailsScheduleOfCarryingAmountOfFinancialAssetsRepresentsTheMaximumCreditExposureTable_documentation_en-US" xlink:label="lab_lzm_FinancialRiskReviewDetailsScheduleOfCarryingAmountOfFinancialAssetsRepresentsTheMaximumCreditExposureTable" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Financial Risk Review (Details) - Schedule of Carrying Amount of Financial Assets Represents the Maximum Credit Exposure</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_FinancialRiskReviewDetailsScheduleOfCarryingAmountOfFinancialAssetsRepresentsTheMaximumCreditExposureTable" xlink:href="lzm-20260930.xsd#lzm_FinancialRiskReviewDetailsScheduleOfCarryingAmountOfFinancialAssetsRepresentsTheMaximumCreditExposureTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_FinancialRiskReviewDetailsScheduleOfCarryingAmountOfFinancialAssetsRepresentsTheMaximumCreditExposureTable" xlink:to="lab_lzm_FinancialRiskReviewDetailsScheduleOfCarryingAmountOfFinancialAssetsRepresentsTheMaximumCreditExposureTable" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_AdditionsOtherThanThroughBusinessCombinationsIntangibleAssetsOtherThanGoodwill_019fae60-c133-77bb-a3d7-450d850ce6ca_terseLabel_en-US" xlink:label="lab_ifrs-full_AdditionsOtherThanThroughBusinessCombinationsIntangibleAssetsOtherThanGoodwill" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Additions</link:label>
    <link:label id="lab_ifrs-full_AdditionsOtherThanThroughBusinessCombinationsIntangibleAssetsOtherThanGoodwill_label_en-US" xlink:label="lab_ifrs-full_AdditionsOtherThanThroughBusinessCombinationsIntangibleAssetsOtherThanGoodwill" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Additions other than through business combinations, intangible assets other than goodwill</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_AdditionsOtherThanThroughBusinessCombinationsIntangibleAssetsOtherThanGoodwill" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_AdditionsOtherThanThroughBusinessCombinationsIntangibleAssetsOtherThanGoodwill"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_AdditionsOtherThanThroughBusinessCombinationsIntangibleAssetsOtherThanGoodwill" xlink:to="lab_ifrs-full_AdditionsOtherThanThroughBusinessCombinationsIntangibleAssetsOtherThanGoodwill" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfGeneralAndAdministrativeExpenseExplanatory_019fae60-c1ca-731d-aeda-9d5ed32f7f03_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfGeneralAndAdministrativeExpenseExplanatory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">General and administrative expenses</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfGeneralAndAdministrativeExpenseExplanatory_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfGeneralAndAdministrativeExpenseExplanatory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of general and administrative expense [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfGeneralAndAdministrativeExpenseExplanatory" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfGeneralAndAdministrativeExpenseExplanatory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfGeneralAndAdministrativeExpenseExplanatory" xlink:to="lab_ifrs-full_DisclosureOfGeneralAndAdministrativeExpenseExplanatory" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_MusongatiNickelProjectMember_019fae60-c253-7562-8854-628ca6803e5a_terseLabel_en-US" xlink:label="lab_lzm_MusongatiNickelProjectMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Musongati Nickel Project</link:label>
    <link:label id="lab_lzm_MusongatiNickelProjectMember_label_en-US" xlink:label="lab_lzm_MusongatiNickelProjectMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Musongati Nickel Project [Member]</link:label>
    <link:label id="lab_lzm_MusongatiNickelProjectMember_documentation_en-US" xlink:label="lab_lzm_MusongatiNickelProjectMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Musongati Nickel Project</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_MusongatiNickelProjectMember" xlink:href="lzm-20260930.xsd#lzm_MusongatiNickelProjectMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_MusongatiNickelProjectMember" xlink:to="lab_lzm_MusongatiNickelProjectMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DilutiveEffectOfAllInstrumentsOnWeightedAverageNumberOfOrdinaryShares_019fae60-c253-7049-a6a1-0e45501eae91_totalLabel_en-US" xlink:label="lab_ifrs-full_DilutiveEffectOfAllInstrumentsOnWeightedAverageNumberOfOrdinaryShares" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total (in shares)</link:label>
    <link:label id="lab_ifrs-full_DilutiveEffectOfAllInstrumentsOnWeightedAverageNumberOfOrdinaryShares_label_en-US" xlink:label="lab_ifrs-full_DilutiveEffectOfAllInstrumentsOnWeightedAverageNumberOfOrdinaryShares" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Dilutive effect of all instruments on weighted average number of ordinary shares</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DilutiveEffectOfAllInstrumentsOnWeightedAverageNumberOfOrdinaryShares" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DilutiveEffectOfAllInstrumentsOnWeightedAverageNumberOfOrdinaryShares"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DilutiveEffectOfAllInstrumentsOnWeightedAverageNumberOfOrdinaryShares" xlink:to="lab_ifrs-full_DilutiveEffectOfAllInstrumentsOnWeightedAverageNumberOfOrdinaryShares" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_LifezoneAndGlencoreMember_019fae60-c1ca-742e-802f-3cbbf402370f_terseLabel_en-US" xlink:label="lab_lzm_LifezoneAndGlencoreMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Lifezone And Glencore</link:label>
    <link:label id="lab_lzm_LifezoneAndGlencoreMember_label_en-US" xlink:label="lab_lzm_LifezoneAndGlencoreMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Lifezone And Glencore [Member]</link:label>
    <link:label id="lab_lzm_LifezoneAndGlencoreMember_documentation_en-US" xlink:label="lab_lzm_LifezoneAndGlencoreMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Lifezone And Glencore</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_LifezoneAndGlencoreMember" xlink:href="lzm-20260930.xsd#lzm_LifezoneAndGlencoreMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_LifezoneAndGlencoreMember" xlink:to="lab_lzm_LifezoneAndGlencoreMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_RiskFreeInterestRate_019fae60-c253-718f-814f-3058804d33db_terseLabel_en-US" xlink:label="lab_lzm_RiskFreeInterestRate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Risk-free Rate</link:label>
    <link:label id="lab_lzm_RiskFreeInterestRate_label_en-US" xlink:label="lab_lzm_RiskFreeInterestRate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Risk Free Interest Rate</link:label>
    <link:label id="lab_lzm_RiskFreeInterestRate_documentation_en-US" xlink:label="lab_lzm_RiskFreeInterestRate" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Risk Free Interest Rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_RiskFreeInterestRate" xlink:href="lzm-20260930.xsd#lzm_RiskFreeInterestRate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_RiskFreeInterestRate" xlink:to="lab_lzm_RiskFreeInterestRate" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_EstimatedFinancialEffectOfContingentLiabilitiesAllegedUnpaidTaxesInterest_019fae60-c133-7d60-b205-649c55c9d352_terseLabel_en-US" xlink:label="lab_lzm_EstimatedFinancialEffectOfContingentLiabilitiesAllegedUnpaidTaxesInterest" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest on unpaid taxes</link:label>
    <link:label id="lab_lzm_EstimatedFinancialEffectOfContingentLiabilitiesAllegedUnpaidTaxesInterest_label_en-US" xlink:label="lab_lzm_EstimatedFinancialEffectOfContingentLiabilitiesAllegedUnpaidTaxesInterest" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Estimated Financial Effect Of Contingent Liabilities, Alleged Unpaid Taxes, Interest</link:label>
    <link:label id="lab_lzm_EstimatedFinancialEffectOfContingentLiabilitiesAllegedUnpaidTaxesInterest_documentation_en-US" xlink:label="lab_lzm_EstimatedFinancialEffectOfContingentLiabilitiesAllegedUnpaidTaxesInterest" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Estimated Financial Effect Of Contingent Liabilities, Alleged Unpaid Taxes, Interest</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_EstimatedFinancialEffectOfContingentLiabilitiesAllegedUnpaidTaxesInterest" xlink:href="lzm-20260930.xsd#lzm_EstimatedFinancialEffectOfContingentLiabilitiesAllegedUnpaidTaxesInterest"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_EstimatedFinancialEffectOfContingentLiabilitiesAllegedUnpaidTaxesInterest" xlink:to="lab_lzm_EstimatedFinancialEffectOfContingentLiabilitiesAllegedUnpaidTaxesInterest" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_OtherComprehensiveIncomeBeforeTax_019fae60-c133-7f24-9e4d-97d3e5280af2_terseLabel_en-US" xlink:label="lab_ifrs-full_OtherComprehensiveIncomeBeforeTax" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Total other comprehensive income</link:label>
    <link:label id="lab_ifrs-full_OtherComprehensiveIncomeBeforeTax_label_en-US" xlink:label="lab_ifrs-full_OtherComprehensiveIncomeBeforeTax" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Other comprehensive income, before tax</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_OtherComprehensiveIncomeBeforeTax" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_OtherComprehensiveIncomeBeforeTax"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_OtherComprehensiveIncomeBeforeTax" xlink:to="lab_ifrs-full_OtherComprehensiveIncomeBeforeTax" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfTemporaryDifferenceUnusedTaxLossesAndUnusedTaxCreditsTable_019fae60-c253-77c4-8266-ae55dd5fe203_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfTemporaryDifferenceUnusedTaxLossesAndUnusedTaxCreditsTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Disclosure of temporary difference, unused tax losses and unused tax credits [table]</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfTemporaryDifferenceUnusedTaxLossesAndUnusedTaxCreditsTable_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfTemporaryDifferenceUnusedTaxLossesAndUnusedTaxCreditsTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of temporary difference, unused tax losses and unused tax credits [table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfTemporaryDifferenceUnusedTaxLossesAndUnusedTaxCreditsTable" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfTemporaryDifferenceUnusedTaxLossesAndUnusedTaxCreditsTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfTemporaryDifferenceUnusedTaxLossesAndUnusedTaxCreditsTable" xlink:to="lab_ifrs-full_DisclosureOfTemporaryDifferenceUnusedTaxLossesAndUnusedTaxCreditsTable" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_AdjustmentsForAmortisationExpense_019fae60-c1ca-7244-b0de-387cb438b328_terseLabel_en-US" xlink:label="lab_ifrs-full_AdjustmentsForAmortisationExpense" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Amortization of intangibles</link:label>
    <link:label id="lab_ifrs-full_AdjustmentsForAmortisationExpense_label_en-US" xlink:label="lab_ifrs-full_AdjustmentsForAmortisationExpense" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Adjustments for amortisation expense</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_AdjustmentsForAmortisationExpense" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_AdjustmentsForAmortisationExpense"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_AdjustmentsForAmortisationExpense" xlink:to="lab_ifrs-full_AdjustmentsForAmortisationExpense" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_KeyManagementPersonnelCompensationPostemploymentBenefits_019fae60-c253-7901-8790-53f18832e68b_terseLabel_en-US" xlink:label="lab_ifrs-full_KeyManagementPersonnelCompensationPostemploymentBenefits" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Post-employment benefits (pensions)</link:label>
    <link:label id="lab_ifrs-full_KeyManagementPersonnelCompensationPostemploymentBenefits_label_en-US" xlink:label="lab_ifrs-full_KeyManagementPersonnelCompensationPostemploymentBenefits" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Key management personnel compensation, post-employment benefits</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_KeyManagementPersonnelCompensationPostemploymentBenefits" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_KeyManagementPersonnelCompensationPostemploymentBenefits"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_KeyManagementPersonnelCompensationPostemploymentBenefits" xlink:to="lab_ifrs-full_KeyManagementPersonnelCompensationPostemploymentBenefits" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_CopyrightsPatentsAndOtherIndustrialPropertyRightsServiceAndOperatingRights_019fae60-c253-77ed-a08f-002ded7dd5ab_terseLabel_en-US" xlink:label="lab_ifrs-full_CopyrightsPatentsAndOtherIndustrialPropertyRightsServiceAndOperatingRights" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Patents</link:label>
    <link:label id="lab_ifrs-full_CopyrightsPatentsAndOtherIndustrialPropertyRightsServiceAndOperatingRights_label_en-US" xlink:label="lab_ifrs-full_CopyrightsPatentsAndOtherIndustrialPropertyRightsServiceAndOperatingRights" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Copyrights, patents and other industrial property rights, service and operating rights</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_CopyrightsPatentsAndOtherIndustrialPropertyRightsServiceAndOperatingRights" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_CopyrightsPatentsAndOtherIndustrialPropertyRightsServiceAndOperatingRights"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_CopyrightsPatentsAndOtherIndustrialPropertyRightsServiceAndOperatingRights" xlink:to="lab_ifrs-full_CopyrightsPatentsAndOtherIndustrialPropertyRightsServiceAndOperatingRights" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_SharePremiumMember_019fae60-c1ca-752d-bf18-67d687fbb671_terseLabel_en-US" xlink:label="lab_ifrs-full_SharePremiumMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Share Premium</link:label>
    <link:label id="lab_ifrs-full_SharePremiumMember_label_en-US" xlink:label="lab_ifrs-full_SharePremiumMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Share premium [member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_SharePremiumMember" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_SharePremiumMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_SharePremiumMember" xlink:to="lab_ifrs-full_SharePremiumMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfContingentLiabilitiesAbstract_019fae60-c1ca-7049-8eff-78485e921952_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfContingentLiabilitiesAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Disclosure of contingent liabilities [abstract]</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfContingentLiabilitiesAbstract_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfContingentLiabilitiesAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of contingent liabilities [abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfContingentLiabilitiesAbstract" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfContingentLiabilitiesAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfContingentLiabilitiesAbstract" xlink:to="lab_ifrs-full_DisclosureOfContingentLiabilitiesAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ComprehensiveIncomeAttributableToOwnersOfParent_019fae60-c253-72b5-bba2-cc17977df054_terseLabel_en-US" xlink:label="lab_ifrs-full_ComprehensiveIncomeAttributableToOwnersOfParent" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Attributable to ordinary shareholders of Lifezone Metals</link:label>
    <link:label id="lab_ifrs-full_ComprehensiveIncomeAttributableToOwnersOfParent_label_en-US" xlink:label="lab_ifrs-full_ComprehensiveIncomeAttributableToOwnersOfParent" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Comprehensive income, attributable to owners of parent</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ComprehensiveIncomeAttributableToOwnersOfParent" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ComprehensiveIncomeAttributableToOwnersOfParent"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ComprehensiveIncomeAttributableToOwnersOfParent" xlink:to="lab_ifrs-full_ComprehensiveIncomeAttributableToOwnersOfParent" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_NumberOfOrdinarySharesInIssue_019fae60-c253-7a9b-ab60-8cd8822e8ef8_terseLabel_en-US" xlink:label="lab_lzm_NumberOfOrdinarySharesInIssue" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Number of ordinary shares in issue (in shares)</link:label>
    <link:label id="lab_lzm_NumberOfOrdinarySharesInIssue_label_en-US" xlink:label="lab_lzm_NumberOfOrdinarySharesInIssue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number Of Ordinary Shares In Issue</link:label>
    <link:label id="lab_lzm_NumberOfOrdinarySharesInIssue_documentation_en-US" xlink:label="lab_lzm_NumberOfOrdinarySharesInIssue" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Number of ordinary shares in issue.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_NumberOfOrdinarySharesInIssue" xlink:href="lzm-20260930.xsd#lzm_NumberOfOrdinarySharesInIssue"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_NumberOfOrdinarySharesInIssue" xlink:to="lab_lzm_NumberOfOrdinarySharesInIssue" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_UnrecognizedDeferredTaxAssets_019fae60-c1ca-7ac5-a583-a5e7ce8259ea_terseLabel_en-US" xlink:label="lab_lzm_UnrecognizedDeferredTaxAssets" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Unrecognized deferred tax assets</link:label>
    <link:label id="lab_lzm_UnrecognizedDeferredTaxAssets_label_en-US" xlink:label="lab_lzm_UnrecognizedDeferredTaxAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Unrecognized Deferred Tax Assets</link:label>
    <link:label id="lab_lzm_UnrecognizedDeferredTaxAssets_documentation_en-US" xlink:label="lab_lzm_UnrecognizedDeferredTaxAssets" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Unrecognized Deferred Tax Assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_UnrecognizedDeferredTaxAssets" xlink:href="lzm-20260930.xsd#lzm_UnrecognizedDeferredTaxAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_UnrecognizedDeferredTaxAssets" xlink:to="lab_lzm_UnrecognizedDeferredTaxAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_Liabilities_019fae60-c133-71c7-8dbe-810eaea627c2_totalLabel_en-US" xlink:label="lab_ifrs-full_Liabilities" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total liabilities</link:label>
    <link:label id="lab_ifrs-full_Liabilities_019fae60-c133-7aa2-ab7a-7fa1e26f55b4_verboseLabel_en-US" xlink:label="lab_ifrs-full_Liabilities" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Segment liabilities</link:label>
    <link:label id="lab_ifrs-full_Liabilities_label_en-US" xlink:label="lab_ifrs-full_Liabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Liabilities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_Liabilities" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_Liabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_Liabilities" xlink:to="lab_ifrs-full_Liabilities" xlink:type="arc" order="1"/>
    <link:label id="lab_currency_AUD_019fae60-c133-7c0b-8588-9567075cc84a_terseLabel_en-US" xlink:label="lab_currency_AUD" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">AUD &#8211; Australian dollar</link:label>
    <link:label id="lab_currency_AUD_label_en-US" xlink:label="lab_currency_AUD" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Australia, Dollars</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_currency_AUD" xlink:href="https://xbrl.sec.gov/currency/2025/currency-2025.xsd#currency_AUD"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_currency_AUD" xlink:to="lab_currency_AUD" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_EmbeddedDerivativesAbstract_label_en-US" xlink:label="lab_lzm_EmbeddedDerivativesAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Embedded derivatives [Abstract]</link:label>
    <link:label id="lab_lzm_EmbeddedDerivativesAbstract_documentation_en-US" xlink:label="lab_lzm_EmbeddedDerivativesAbstract" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Embedded Derivatives [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_EmbeddedDerivativesAbstract" xlink:href="lzm-20260930.xsd#lzm_EmbeddedDerivativesAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_EmbeddedDerivativesAbstract" xlink:to="lab_lzm_EmbeddedDerivativesAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_DisclosureOfReceivablesDueFromRelatedPartiesTableTextBlock_019fae60-c133-7940-96e6-c1d7af61a201_terseLabel_en-US" xlink:label="lab_lzm_DisclosureOfReceivablesDueFromRelatedPartiesTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Related Party Payable</link:label>
    <link:label id="lab_lzm_DisclosureOfReceivablesDueFromRelatedPartiesTableTextBlock_label_en-US" xlink:label="lab_lzm_DisclosureOfReceivablesDueFromRelatedPartiesTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure Of Receivables Due From Related Parties [Table Text Block]</link:label>
    <link:label id="lab_lzm_DisclosureOfReceivablesDueFromRelatedPartiesTableTextBlock_documentation_en-US" xlink:label="lab_lzm_DisclosureOfReceivablesDueFromRelatedPartiesTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Represent the tabular of receivables due from related parties.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_DisclosureOfReceivablesDueFromRelatedPartiesTableTextBlock" xlink:href="lzm-20260930.xsd#lzm_DisclosureOfReceivablesDueFromRelatedPartiesTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_DisclosureOfReceivablesDueFromRelatedPartiesTableTextBlock" xlink:to="lab_lzm_DisclosureOfReceivablesDueFromRelatedPartiesTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ContingentConsiderationRecognisedAsOfAcquisitionDate_019fae60-c1ca-733b-b8ba-d5e055fcceb0_terseLabel_en-US" xlink:label="lab_ifrs-full_ContingentConsiderationRecognisedAsOfAcquisitionDate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Total consideration amount</link:label>
    <link:label id="lab_ifrs-full_ContingentConsiderationRecognisedAsOfAcquisitionDate_label_en-US" xlink:label="lab_ifrs-full_ContingentConsiderationRecognisedAsOfAcquisitionDate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Contingent consideration recognised as of acquisition date</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ContingentConsiderationRecognisedAsOfAcquisitionDate" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ContingentConsiderationRecognisedAsOfAcquisitionDate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ContingentConsiderationRecognisedAsOfAcquisitionDate" xlink:to="lab_ifrs-full_ContingentConsiderationRecognisedAsOfAcquisitionDate" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfInformationForIndividualAssetOrCashgeneratingUnitWithSignificantAmountOfGoodwillOrIntangibleAssetsWithIndefiniteUsefulLivesTable_019fae60-c1ca-7a63-8248-4b691bd6cb7d_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfInformationForIndividualAssetOrCashgeneratingUnitWithSignificantAmountOfGoodwillOrIntangibleAssetsWithIndefiniteUsefulLivesTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Disclosure of information for cash-generating units [table]</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfInformationForIndividualAssetOrCashgeneratingUnitWithSignificantAmountOfGoodwillOrIntangibleAssetsWithIndefiniteUsefulLivesTable_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfInformationForIndividualAssetOrCashgeneratingUnitWithSignificantAmountOfGoodwillOrIntangibleAssetsWithIndefiniteUsefulLivesTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of information for cash-generating units [table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfInformationForIndividualAssetOrCashgeneratingUnitWithSignificantAmountOfGoodwillOrIntangibleAssetsWithIndefiniteUsefulLivesTable" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfInformationForIndividualAssetOrCashgeneratingUnitWithSignificantAmountOfGoodwillOrIntangibleAssetsWithIndefiniteUsefulLivesTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfInformationForIndividualAssetOrCashgeneratingUnitWithSignificantAmountOfGoodwillOrIntangibleAssetsWithIndefiniteUsefulLivesTable" xlink:to="lab_ifrs-full_DisclosureOfInformationForIndividualAssetOrCashgeneratingUnitWithSignificantAmountOfGoodwillOrIntangibleAssetsWithIndefiniteUsefulLivesTable" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_InterestPayable_019fae60-c133-7b92-b717-6b7e341fb263_terseLabel_en-US" xlink:label="lab_ifrs-full_InterestPayable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest paid</link:label>
    <link:label id="lab_ifrs-full_InterestPayable_label_en-US" xlink:label="lab_ifrs-full_InterestPayable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest payable</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_InterestPayable" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_InterestPayable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_InterestPayable" xlink:to="lab_ifrs-full_InterestPayable" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_CurrentDeferredIncomeIncludingCurrentContractLiabilities_019fae60-c253-73a2-a935-68109b575e7a_terseLabel_en-US" xlink:label="lab_ifrs-full_CurrentDeferredIncomeIncludingCurrentContractLiabilities" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Warrant liability</link:label>
    <link:label id="lab_ifrs-full_CurrentDeferredIncomeIncludingCurrentContractLiabilities_label_en-US" xlink:label="lab_ifrs-full_CurrentDeferredIncomeIncludingCurrentContractLiabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Current deferred income including current contract liabilities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_CurrentDeferredIncomeIncludingCurrentContractLiabilities" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_CurrentDeferredIncomeIncludingCurrentContractLiabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_CurrentDeferredIncomeIncludingCurrentContractLiabilities" xlink:to="lab_ifrs-full_CurrentDeferredIncomeIncludingCurrentContractLiabilities" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_WeightedAverageExercisePriceOfShareOptionsForfeitedInSharebasedPaymentArrangement2019_019fae60-c253-772f-82a8-e47cec73ec5b_terseLabel_en-US" xlink:label="lab_ifrs-full_WeightedAverageExercisePriceOfShareOptionsForfeitedInSharebasedPaymentArrangement2019" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Forfeited (in dollars per share)</link:label>
    <link:label id="lab_ifrs-full_WeightedAverageExercisePriceOfShareOptionsForfeitedInSharebasedPaymentArrangement2019_label_en-US" xlink:label="lab_ifrs-full_WeightedAverageExercisePriceOfShareOptionsForfeitedInSharebasedPaymentArrangement2019" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Weighted average exercise price of share options forfeited in share-based payment arrangement</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_WeightedAverageExercisePriceOfShareOptionsForfeitedInSharebasedPaymentArrangement2019" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_WeightedAverageExercisePriceOfShareOptionsForfeitedInSharebasedPaymentArrangement2019"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_WeightedAverageExercisePriceOfShareOptionsForfeitedInSharebasedPaymentArrangement2019" xlink:to="lab_ifrs-full_WeightedAverageExercisePriceOfShareOptionsForfeitedInSharebasedPaymentArrangement2019" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_GainLossOnLeaseReassessment_01a15b02-248a-7023-af3d-7f3943af8eff_negatedTerseLabel_en-US" xlink:label="lab_lzm_GainLossOnLeaseReassessment" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Gain on lease reassessment</link:label>
    <link:label id="lab_lzm_GainLossOnLeaseReassessment_label_en-US" xlink:label="lab_lzm_GainLossOnLeaseReassessment" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Gain (Loss) On Lease Reassessment</link:label>
    <link:label id="lab_lzm_GainLossOnLeaseReassessment_documentation_en-US" xlink:label="lab_lzm_GainLossOnLeaseReassessment" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Gain (Loss) On Lease Reassessment</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_GainLossOnLeaseReassessment" xlink:href="lzm-20260930.xsd#lzm_GainLossOnLeaseReassessment"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_GainLossOnLeaseReassessment" xlink:to="lab_lzm_GainLossOnLeaseReassessment" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_PropertyPlantAndEquipmentIncludingRightofuseAssets_019fae60-c1ca-7a11-978c-0a5ea4b0a7b9_periodStartLabel_en-US" xlink:label="lab_ifrs-full_PropertyPlantAndEquipmentIncludingRightofuseAssets" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel" xlink:type="resource" xml:lang="en-US">Beginning balance</link:label>
    <link:label id="lab_ifrs-full_PropertyPlantAndEquipmentIncludingRightofuseAssets_019fae60-c1ca-72b5-8bcc-43e84324950e_periodEndLabel_en-US" xlink:label="lab_ifrs-full_PropertyPlantAndEquipmentIncludingRightofuseAssets" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel" xlink:type="resource" xml:lang="en-US">Ending balance</link:label>
    <link:label id="lab_ifrs-full_PropertyPlantAndEquipmentIncludingRightofuseAssets_label_en-US" xlink:label="lab_ifrs-full_PropertyPlantAndEquipmentIncludingRightofuseAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Property, plant and equipment including right-of-use assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_PropertyPlantAndEquipmentIncludingRightofuseAssets" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_PropertyPlantAndEquipmentIncludingRightofuseAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_PropertyPlantAndEquipmentIncludingRightofuseAssets" xlink:to="lab_ifrs-full_PropertyPlantAndEquipmentIncludingRightofuseAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_FinancialLiabilitiesAtFairValue_019fae60-c253-741a-8051-26f7afaf96eb_terseLabel_en-US" xlink:label="lab_ifrs-full_FinancialLiabilitiesAtFairValue" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Financial liabilities, at fair value</link:label>
    <link:label id="lab_ifrs-full_FinancialLiabilitiesAtFairValue_label_en-US" xlink:label="lab_ifrs-full_FinancialLiabilitiesAtFairValue" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Financial liabilities, at fair value</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_FinancialLiabilitiesAtFairValue" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_FinancialLiabilitiesAtFairValue"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_FinancialLiabilitiesAtFairValue" xlink:to="lab_ifrs-full_FinancialLiabilitiesAtFairValue" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ExpenseFromEquitysettledSharebasedPaymentTransactionsInWhichGoodsOrServicesReceivedDidNotQualifyForRecognitionAsAssets_019fae60-c253-74e1-8cbb-ad1263234bb7_terseLabel_en-US" xlink:label="lab_ifrs-full_ExpenseFromEquitysettledSharebasedPaymentTransactionsInWhichGoodsOrServicesReceivedDidNotQualifyForRecognitionAsAssets" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Expense from equity-settled share-based payment transactions</link:label>
    <link:label id="lab_ifrs-full_ExpenseFromEquitysettledSharebasedPaymentTransactionsInWhichGoodsOrServicesReceivedDidNotQualifyForRecognitionAsAssets_label_en-US" xlink:label="lab_ifrs-full_ExpenseFromEquitysettledSharebasedPaymentTransactionsInWhichGoodsOrServicesReceivedDidNotQualifyForRecognitionAsAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Expense from equity-settled share-based payment transactions</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ExpenseFromEquitysettledSharebasedPaymentTransactionsInWhichGoodsOrServicesReceivedDidNotQualifyForRecognitionAsAssets" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ExpenseFromEquitysettledSharebasedPaymentTransactionsInWhichGoodsOrServicesReceivedDidNotQualifyForRecognitionAsAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ExpenseFromEquitysettledSharebasedPaymentTransactionsInWhichGoodsOrServicesReceivedDidNotQualifyForRecognitionAsAssets" xlink:to="lab_ifrs-full_ExpenseFromEquitysettledSharebasedPaymentTransactionsInWhichGoodsOrServicesReceivedDidNotQualifyForRecognitionAsAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_NonadjustingEventsAfterReportingPeriodAxis_019fae60-c133-79cf-b181-c4f839280119_terseLabel_en-US" xlink:label="lab_ifrs-full_NonadjustingEventsAfterReportingPeriodAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Non-adjusting events after reporting period [axis]</link:label>
    <link:label id="lab_ifrs-full_NonadjustingEventsAfterReportingPeriodAxis_label_en-US" xlink:label="lab_ifrs-full_NonadjustingEventsAfterReportingPeriodAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Non-adjusting events after reporting period [axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_NonadjustingEventsAfterReportingPeriodAxis" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_NonadjustingEventsAfterReportingPeriodAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_NonadjustingEventsAfterReportingPeriodAxis" xlink:to="lab_ifrs-full_NonadjustingEventsAfterReportingPeriodAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ReserveOfChangeInValueOfForeignCurrencyBasisSpreads_019fae60-c253-74bc-b034-a8c5859c5b5c_verboseLabel_en-US" xlink:label="lab_ifrs-full_ReserveOfChangeInValueOfForeignCurrencyBasisSpreads" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Foreign currency translation reserve</link:label>
    <link:label id="lab_ifrs-full_ReserveOfChangeInValueOfForeignCurrencyBasisSpreads_label_en-US" xlink:label="lab_ifrs-full_ReserveOfChangeInValueOfForeignCurrencyBasisSpreads" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Reserve of change in value of foreign currency basis spreads</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ReserveOfChangeInValueOfForeignCurrencyBasisSpreads" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ReserveOfChangeInValueOfForeignCurrencyBasisSpreads"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ReserveOfChangeInValueOfForeignCurrencyBasisSpreads" xlink:to="lab_ifrs-full_ReserveOfChangeInValueOfForeignCurrencyBasisSpreads" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_TotalCompensationMember_01a15b33-6392-7bab-ab8e-06b1375033fa_terseLabel_en-US" xlink:label="lab_lzm_TotalCompensationMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Total Compensation</link:label>
    <link:label id="lab_lzm_TotalCompensationMember_label_en-US" xlink:label="lab_lzm_TotalCompensationMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Total Compensation [Member]</link:label>
    <link:label id="lab_lzm_TotalCompensationMember_documentation_en-US" xlink:label="lab_lzm_TotalCompensationMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Total Compensation</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_TotalCompensationMember" xlink:href="lzm-20260930.xsd#lzm_TotalCompensationMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_TotalCompensationMember" xlink:to="lab_lzm_TotalCompensationMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_PreTradingCapitalExpensesForWhichNoDeferredTaxAssetRecognised_019fae60-c253-7b68-8e4f-572761077a60_negatedTerseLabel_en-US" xlink:label="lab_lzm_PreTradingCapitalExpensesForWhichNoDeferredTaxAssetRecognised" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Pre-trading capital expenses</link:label>
    <link:label id="lab_lzm_PreTradingCapitalExpensesForWhichNoDeferredTaxAssetRecognised_label_en-US" xlink:label="lab_lzm_PreTradingCapitalExpensesForWhichNoDeferredTaxAssetRecognised" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Pre-Trading Capital Expenses For Which No Deferred Tax Asset Recognised</link:label>
    <link:label id="lab_lzm_PreTradingCapitalExpensesForWhichNoDeferredTaxAssetRecognised_documentation_en-US" xlink:label="lab_lzm_PreTradingCapitalExpensesForWhichNoDeferredTaxAssetRecognised" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Pre-Trading Capital Expenses For Which No Deferred Tax Asset Recognised</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_PreTradingCapitalExpensesForWhichNoDeferredTaxAssetRecognised" xlink:href="lzm-20260930.xsd#lzm_PreTradingCapitalExpensesForWhichNoDeferredTaxAssetRecognised"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_PreTradingCapitalExpensesForWhichNoDeferredTaxAssetRecognised" xlink:to="lab_lzm_PreTradingCapitalExpensesForWhichNoDeferredTaxAssetRecognised" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ItemsOfContingentLiabilitiesDomain_019fae60-c133-7595-befc-b0620bd69b34_terseLabel_en-US" xlink:label="lab_ifrs-full_ItemsOfContingentLiabilitiesDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Items of contingent liabilities [domain]</link:label>
    <link:label id="lab_ifrs-full_ItemsOfContingentLiabilitiesDomain_label_en-US" xlink:label="lab_ifrs-full_ItemsOfContingentLiabilitiesDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Items of contingent liabilities [domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ItemsOfContingentLiabilitiesDomain" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ItemsOfContingentLiabilitiesDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ItemsOfContingentLiabilitiesDomain" xlink:to="lab_ifrs-full_ItemsOfContingentLiabilitiesDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_TopOfRangeMember_019fae60-c1ca-70b1-aa3a-1543a051752a_terseLabel_en-US" xlink:label="lab_ifrs-full_TopOfRangeMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Top of range</link:label>
    <link:label id="lab_ifrs-full_TopOfRangeMember_label_en-US" xlink:label="lab_ifrs-full_TopOfRangeMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Top of range [member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_TopOfRangeMember" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_TopOfRangeMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_TopOfRangeMember" xlink:to="lab_ifrs-full_TopOfRangeMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_WeightedAverageSharePrice2019_019fae60-c253-7f6c-acda-4743988593f6_terseLabel_en-US" xlink:label="lab_ifrs-full_WeightedAverageSharePrice2019" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Weighted average price (in dollars per share)</link:label>
    <link:label id="lab_ifrs-full_WeightedAverageSharePrice2019_label_en-US" xlink:label="lab_ifrs-full_WeightedAverageSharePrice2019" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Weighted average share price</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_WeightedAverageSharePrice2019" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_WeightedAverageSharePrice2019"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_WeightedAverageSharePrice2019" xlink:to="lab_ifrs-full_WeightedAverageSharePrice2019" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_FairValueOfRestrictedStockUnitsTable_019fae60-c253-748e-83b3-627028b818c0_terseLabel_en-US" xlink:label="lab_lzm_FairValueOfRestrictedStockUnitsTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair Value Of Restricted Stock Units [Table]</link:label>
    <link:label id="lab_lzm_FairValueOfRestrictedStockUnitsTable_label_en-US" xlink:label="lab_lzm_FairValueOfRestrictedStockUnitsTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value Of Restricted Stock Units [Table]</link:label>
    <link:label id="lab_lzm_FairValueOfRestrictedStockUnitsTable_documentation_en-US" xlink:label="lab_lzm_FairValueOfRestrictedStockUnitsTable" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Fair Value Of Restricted Stock Units [Table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_FairValueOfRestrictedStockUnitsTable" xlink:href="lzm-20260930.xsd#lzm_FairValueOfRestrictedStockUnitsTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_FairValueOfRestrictedStockUnitsTable" xlink:to="lab_lzm_FairValueOfRestrictedStockUnitsTable" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_FairValueOfOutstandingPerWarrantUnit_019fae60-c1ca-721e-88e4-6e5482862169_terseLabel_en-US" xlink:label="lab_lzm_FairValueOfOutstandingPerWarrantUnit" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Price per warrant (in dollars per share)</link:label>
    <link:label id="lab_lzm_FairValueOfOutstandingPerWarrantUnit_label_en-US" xlink:label="lab_lzm_FairValueOfOutstandingPerWarrantUnit" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value Of Outstanding Per Warrant Unit</link:label>
    <link:label id="lab_lzm_FairValueOfOutstandingPerWarrantUnit_documentation_en-US" xlink:label="lab_lzm_FairValueOfOutstandingPerWarrantUnit" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Fair value of outstanding price per warrant unit.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_FairValueOfOutstandingPerWarrantUnit" xlink:href="lzm-20260930.xsd#lzm_FairValueOfOutstandingPerWarrantUnit"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_FairValueOfOutstandingPerWarrantUnit" xlink:to="lab_lzm_FairValueOfOutstandingPerWarrantUnit" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_RiskFreeInterestRateOtherEquityInstrumentsGranted_019fae60-c1ca-7187-a755-d7d4f8291fbe_terseLabel_en-US" xlink:label="lab_lzm_RiskFreeInterestRateOtherEquityInstrumentsGranted" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Risk-free interest rate</link:label>
    <link:label id="lab_lzm_RiskFreeInterestRateOtherEquityInstrumentsGranted_label_en-US" xlink:label="lab_lzm_RiskFreeInterestRateOtherEquityInstrumentsGranted" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Risk Free Interest Rate, Other Equity Instruments Granted</link:label>
    <link:label id="lab_lzm_RiskFreeInterestRateOtherEquityInstrumentsGranted_documentation_en-US" xlink:label="lab_lzm_RiskFreeInterestRateOtherEquityInstrumentsGranted" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Risk Free Interest Rate, Other Equity Instruments Granted</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_RiskFreeInterestRateOtherEquityInstrumentsGranted" xlink:href="lzm-20260930.xsd#lzm_RiskFreeInterestRateOtherEquityInstrumentsGranted"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_RiskFreeInterestRateOtherEquityInstrumentsGranted" xlink:to="lab_lzm_RiskFreeInterestRateOtherEquityInstrumentsGranted" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_DisclosureOfEmploymentTableTextBlock_019fae60-c133-7f9d-87f1-2913b7e4707f_terseLabel_en-US" xlink:label="lab_lzm_DisclosureOfEmploymentTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Employment of Existing Consulting Agreements</link:label>
    <link:label id="lab_lzm_DisclosureOfEmploymentTableTextBlock_label_en-US" xlink:label="lab_lzm_DisclosureOfEmploymentTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure Of Employment [Table Text Block]</link:label>
    <link:label id="lab_lzm_DisclosureOfEmploymentTableTextBlock_documentation_en-US" xlink:label="lab_lzm_DisclosureOfEmploymentTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Schedule of this comprised.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_DisclosureOfEmploymentTableTextBlock" xlink:href="lzm-20260930.xsd#lzm_DisclosureOfEmploymentTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_DisclosureOfEmploymentTableTextBlock" xlink:to="lab_lzm_DisclosureOfEmploymentTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ScheduleOfReconciliationOfShareholdersEquityMovementValueRollForward_019fae60-c1ca-75d2-9a1a-2560d11c9be5_terseLabel_en-US" xlink:label="lab_lzm_ScheduleOfReconciliationOfShareholdersEquityMovementValueRollForward" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">$</link:label>
    <link:label id="lab_lzm_ScheduleOfReconciliationOfShareholdersEquityMovementValueRollForward_label_en-US" xlink:label="lab_lzm_ScheduleOfReconciliationOfShareholdersEquityMovementValueRollForward" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule of Reconciliation of Shareholders' Equity Movement, Value [Roll Forward]</link:label>
    <link:label id="lab_lzm_ScheduleOfReconciliationOfShareholdersEquityMovementValueRollForward_documentation_en-US" xlink:label="lab_lzm_ScheduleOfReconciliationOfShareholdersEquityMovementValueRollForward" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Schedule of Reconciliation of Shareholders' Equity Movement, Value</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ScheduleOfReconciliationOfShareholdersEquityMovementValueRollForward" xlink:href="lzm-20260930.xsd#lzm_ScheduleOfReconciliationOfShareholdersEquityMovementValueRollForward"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ScheduleOfReconciliationOfShareholdersEquityMovementValueRollForward" xlink:to="lab_lzm_ScheduleOfReconciliationOfShareholdersEquityMovementValueRollForward" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_TenPercentMember_019fae60-c133-7e99-8d38-40c749ce6c6b_terseLabel_en-US" xlink:label="lab_lzm_TenPercentMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">10%</link:label>
    <link:label id="lab_lzm_TenPercentMember_label_en-US" xlink:label="lab_lzm_TenPercentMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Ten Percent [Member]</link:label>
    <link:label id="lab_lzm_TenPercentMember_documentation_en-US" xlink:label="lab_lzm_TenPercentMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Ten Percent</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_TenPercentMember" xlink:href="lzm-20260930.xsd#lzm_TenPercentMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_TenPercentMember" xlink:to="lab_lzm_TenPercentMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_CarryingAmountAccumulatedDepreciationAmortisationAndImpairmentAndGrossCarryingAmountAxis_019fae60-c133-7f29-b135-fb2392c428af_terseLabel_en-US" xlink:label="lab_ifrs-full_CarryingAmountAccumulatedDepreciationAmortisationAndImpairmentAndGrossCarryingAmountAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Carrying amount, accumulated depreciation, amortisation and impairment and gross carrying amount [axis]</link:label>
    <link:label id="lab_ifrs-full_CarryingAmountAccumulatedDepreciationAmortisationAndImpairmentAndGrossCarryingAmountAxis_label_en-US" xlink:label="lab_ifrs-full_CarryingAmountAccumulatedDepreciationAmortisationAndImpairmentAndGrossCarryingAmountAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Carrying amount, accumulated depreciation, amortisation and impairment and gross carrying amount [axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_CarryingAmountAccumulatedDepreciationAmortisationAndImpairmentAndGrossCarryingAmountAxis" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_CarryingAmountAccumulatedDepreciationAmortisationAndImpairmentAndGrossCarryingAmountAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_CarryingAmountAccumulatedDepreciationAmortisationAndImpairmentAndGrossCarryingAmountAxis" xlink:to="lab_ifrs-full_CarryingAmountAccumulatedDepreciationAmortisationAndImpairmentAndGrossCarryingAmountAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_BorrowingsByNameDomain_019fae60-c133-7ddf-aa65-75289122cfba_terseLabel_en-US" xlink:label="lab_ifrs-full_BorrowingsByNameDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Borrowings by name [domain]</link:label>
    <link:label id="lab_ifrs-full_BorrowingsByNameDomain_label_en-US" xlink:label="lab_ifrs-full_BorrowingsByNameDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Borrowings by name [domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_BorrowingsByNameDomain" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_BorrowingsByNameDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_BorrowingsByNameDomain" xlink:to="lab_ifrs-full_BorrowingsByNameDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_PaymentsForDevelopmentProjectExpenditure_019fae60-c133-7211-b78a-3178945721ff_negatedLabel_en-US" xlink:label="lab_ifrs-full_PaymentsForDevelopmentProjectExpenditure" xlink:role="http://www.xbrl.org/2009/role/negatedLabel" xlink:type="resource" xml:lang="en-US">Expenditure on property and equipment</link:label>
    <link:label id="lab_ifrs-full_PaymentsForDevelopmentProjectExpenditure_label_en-US" xlink:label="lab_ifrs-full_PaymentsForDevelopmentProjectExpenditure" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Payments for development project expenditure</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_PaymentsForDevelopmentProjectExpenditure" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_PaymentsForDevelopmentProjectExpenditure"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_PaymentsForDevelopmentProjectExpenditure" xlink:to="lab_ifrs-full_PaymentsForDevelopmentProjectExpenditure" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_AuditAndAccountancyFees_019fae60-c1ca-7621-9da9-2fc211364bba_terseLabel_en-US" xlink:label="lab_lzm_AuditAndAccountancyFees" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Audit &amp; accountancy fees</link:label>
    <link:label id="lab_lzm_AuditAndAccountancyFees_label_en-US" xlink:label="lab_lzm_AuditAndAccountancyFees" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Audit And Accountancy Fees</link:label>
    <link:label id="lab_lzm_AuditAndAccountancyFees_documentation_en-US" xlink:label="lab_lzm_AuditAndAccountancyFees" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Audit And Accountancy Fees</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_AuditAndAccountancyFees" xlink:href="lzm-20260930.xsd#lzm_AuditAndAccountancyFees"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_AuditAndAccountancyFees" xlink:to="lab_lzm_AuditAndAccountancyFees" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_KeithLiddell2Member_019fae60-c253-7689-a92d-f969783d2d46_terseLabel_en-US" xlink:label="lab_lzm_KeithLiddell2Member" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Keith Liddell</link:label>
    <link:label id="lab_lzm_KeithLiddell2Member_label_en-US" xlink:label="lab_lzm_KeithLiddell2Member" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Keith Liddell 2 [Member]</link:label>
    <link:label id="lab_lzm_KeithLiddell2Member_documentation_en-US" xlink:label="lab_lzm_KeithLiddell2Member" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Keith Liddell 2</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_KeithLiddell2Member" xlink:href="lzm-20260930.xsd#lzm_KeithLiddell2Member"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_KeithLiddell2Member" xlink:to="lab_lzm_KeithLiddell2Member" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_RentalExpense_019fae60-c133-7707-ad41-2c30b01ebb61_terseLabel_en-US" xlink:label="lab_ifrs-full_RentalExpense" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Rent &amp; rates</link:label>
    <link:label id="lab_ifrs-full_RentalExpense_label_en-US" xlink:label="lab_ifrs-full_RentalExpense" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Rental expense</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_RentalExpense" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_RentalExpense"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_RentalExpense" xlink:to="lab_ifrs-full_RentalExpense" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_WarrantsIssuedAsPartOfSeniorSecuredBridgeLoanFacility_01a15afa-5a76-7c3b-bcc4-f33b6cf355a9_terseLabel_en-US" xlink:label="lab_lzm_WarrantsIssuedAsPartOfSeniorSecuredBridgeLoanFacility" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Warrants issued as part of senior secured bridge loan facility</link:label>
    <link:label id="lab_lzm_WarrantsIssuedAsPartOfSeniorSecuredBridgeLoanFacility_label_en-US" xlink:label="lab_lzm_WarrantsIssuedAsPartOfSeniorSecuredBridgeLoanFacility" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Warrants Issued As Part Of Senior Secured Bridge Loan Facility</link:label>
    <link:label id="lab_lzm_WarrantsIssuedAsPartOfSeniorSecuredBridgeLoanFacility_documentation_en-US" xlink:label="lab_lzm_WarrantsIssuedAsPartOfSeniorSecuredBridgeLoanFacility" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Warrants Issued As Part Of Senior Secured Bridge Loan Facility</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_WarrantsIssuedAsPartOfSeniorSecuredBridgeLoanFacility" xlink:href="lzm-20260930.xsd#lzm_WarrantsIssuedAsPartOfSeniorSecuredBridgeLoanFacility"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_WarrantsIssuedAsPartOfSeniorSecuredBridgeLoanFacility" xlink:to="lab_lzm_WarrantsIssuedAsPartOfSeniorSecuredBridgeLoanFacility" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DeferredTaxLiabilities_019fae60-c1ca-7311-80e8-116445569b42_terseLabel_en-US" xlink:label="lab_ifrs-full_DeferredTaxLiabilities" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Deferred tax liability</link:label>
    <link:label id="lab_ifrs-full_DeferredTaxLiabilities_label_en-US" xlink:label="lab_ifrs-full_DeferredTaxLiabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Deferred tax liabilities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DeferredTaxLiabilities" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DeferredTaxLiabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DeferredTaxLiabilities" xlink:to="lab_ifrs-full_DeferredTaxLiabilities" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_FairValueReassessmentOfDeferredConsideration_019fae60-c253-7e1a-a8b2-b8c4470c4bca_terseLabel_en-US" xlink:label="lab_lzm_FairValueReassessmentOfDeferredConsideration" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair value reassessment</link:label>
    <link:label id="lab_lzm_FairValueReassessmentOfDeferredConsideration_label_en-US" xlink:label="lab_lzm_FairValueReassessmentOfDeferredConsideration" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value Reassessment Of Deferred Consideration</link:label>
    <link:label id="lab_lzm_FairValueReassessmentOfDeferredConsideration_documentation_en-US" xlink:label="lab_lzm_FairValueReassessmentOfDeferredConsideration" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Fair Value Reassessment Of Deferred Consideration</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_FairValueReassessmentOfDeferredConsideration" xlink:href="lzm-20260930.xsd#lzm_FairValueReassessmentOfDeferredConsideration"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_FairValueReassessmentOfDeferredConsideration" xlink:to="lab_lzm_FairValueReassessmentOfDeferredConsideration" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ChangeInAUDRateMember_019fae60-c133-7cfd-b634-0b7e755e3ab6_terseLabel_en-US" xlink:label="lab_lzm_ChangeInAUDRateMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Change in AUD Rate</link:label>
    <link:label id="lab_lzm_ChangeInAUDRateMember_label_en-US" xlink:label="lab_lzm_ChangeInAUDRateMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Change In AUDRate [Member]</link:label>
    <link:label id="lab_lzm_ChangeInAUDRateMember_documentation_en-US" xlink:label="lab_lzm_ChangeInAUDRateMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Change In AUDRate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ChangeInAUDRateMember" xlink:href="lzm-20260930.xsd#lzm_ChangeInAUDRateMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ChangeInAUDRateMember" xlink:to="lab_lzm_ChangeInAUDRateMember" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_StatementGeographicalAxis_019fae60-c1ca-72cb-b1a0-9d27a8795ee3_terseLabel_en-US" xlink:label="lab_srt_StatementGeographicalAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Geographical [Axis]</link:label>
    <link:label id="lab_srt_StatementGeographicalAxis_label_en-US" xlink:label="lab_srt_StatementGeographicalAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Geographical [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_StatementGeographicalAxis" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_StatementGeographicalAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_StatementGeographicalAxis" xlink:to="lab_srt_StatementGeographicalAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_PropertyPlantAndEquipmentIncludingRightofuseAssetsAxis_019fae60-c133-7b8d-b957-af89c219ad59_terseLabel_en-US" xlink:label="lab_ifrs-full_PropertyPlantAndEquipmentIncludingRightofuseAssetsAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Property, plant and equipment including right-of-use assets [axis]</link:label>
    <link:label id="lab_ifrs-full_PropertyPlantAndEquipmentIncludingRightofuseAssetsAxis_label_en-US" xlink:label="lab_ifrs-full_PropertyPlantAndEquipmentIncludingRightofuseAssetsAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Property, plant and equipment including right-of-use assets [axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_PropertyPlantAndEquipmentIncludingRightofuseAssetsAxis" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_PropertyPlantAndEquipmentIncludingRightofuseAssetsAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_PropertyPlantAndEquipmentIncludingRightofuseAssetsAxis" xlink:to="lab_ifrs-full_PropertyPlantAndEquipmentIncludingRightofuseAssetsAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_PeriodicReports_019fae60-c1ca-75e7-bdb7-7df28884fd2d_terseLabel_en-US" xlink:label="lab_lzm_PeriodicReports" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Periodic reports</link:label>
    <link:label id="lab_lzm_PeriodicReports_label_en-US" xlink:label="lab_lzm_PeriodicReports" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Periodic Reports</link:label>
    <link:label id="lab_lzm_PeriodicReports_documentation_en-US" xlink:label="lab_lzm_PeriodicReports" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Periodic reports.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_PeriodicReports" xlink:href="lzm-20260930.xsd#lzm_PeriodicReports"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_PeriodicReports" xlink:to="lab_lzm_PeriodicReports" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_OtherComprehensiveIncome_019fae60-c133-7103-984e-76af0d539489_totalLabel_en-US" xlink:label="lab_ifrs-full_OtherComprehensiveIncome" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total comprehensive loss for the period</link:label>
    <link:label id="lab_ifrs-full_OtherComprehensiveIncome_label_en-US" xlink:label="lab_ifrs-full_OtherComprehensiveIncome" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Other comprehensive income</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_OtherComprehensiveIncome" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_OtherComprehensiveIncome"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_OtherComprehensiveIncome" xlink:to="lab_ifrs-full_OtherComprehensiveIncome" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_CounterpartiesDomain_019fae60-c133-71e5-a0d9-7505cb5a89dc_terseLabel_en-US" xlink:label="lab_ifrs-full_CounterpartiesDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Counterparties [domain]</link:label>
    <link:label id="lab_ifrs-full_CounterpartiesDomain_label_en-US" xlink:label="lab_ifrs-full_CounterpartiesDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Counterparties [domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_CounterpartiesDomain" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_CounterpartiesDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_CounterpartiesDomain" xlink:to="lab_ifrs-full_CounterpartiesDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_OtherShorttermProvisions_019fae60-c253-778a-b0b1-ed61bbf1666f_verboseLabel_en-US" xlink:label="lab_ifrs-full_OtherShorttermProvisions" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Provision for withholding tax</link:label>
    <link:label id="lab_ifrs-full_OtherShorttermProvisions_019fae60-c253-72d7-8751-792108b2eb7d_terseLabel_en-US" xlink:label="lab_ifrs-full_OtherShorttermProvisions" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Other current provisions</link:label>
    <link:label id="lab_ifrs-full_OtherShorttermProvisions_label_en-US" xlink:label="lab_ifrs-full_OtherShorttermProvisions" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Other current provisions</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_OtherShorttermProvisions" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_OtherShorttermProvisions"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_OtherShorttermProvisions" xlink:to="lab_ifrs-full_OtherShorttermProvisions" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_NumberOfApplicationsInProgress_019fae60-c133-7a11-9c64-d905a7526bd4_terseLabel_en-US" xlink:label="lab_lzm_NumberOfApplicationsInProgress" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Number of applications in progress</link:label>
    <link:label id="lab_lzm_NumberOfApplicationsInProgress_label_en-US" xlink:label="lab_lzm_NumberOfApplicationsInProgress" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number Of Applications In Progress</link:label>
    <link:label id="lab_lzm_NumberOfApplicationsInProgress_documentation_en-US" xlink:label="lab_lzm_NumberOfApplicationsInProgress" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Number Of Applications In Progress</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_NumberOfApplicationsInProgress" xlink:href="lzm-20260930.xsd#lzm_NumberOfApplicationsInProgress"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_NumberOfApplicationsInProgress" xlink:to="lab_lzm_NumberOfApplicationsInProgress" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_RemunerationMember_019fae60-c253-727e-8656-155ede395d79_terseLabel_en-US" xlink:label="lab_lzm_RemunerationMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Total remuneration</link:label>
    <link:label id="lab_lzm_RemunerationMember_label_en-US" xlink:label="lab_lzm_RemunerationMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Remuneration [Member]</link:label>
    <link:label id="lab_lzm_RemunerationMember_documentation_en-US" xlink:label="lab_lzm_RemunerationMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Remuneration</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_RemunerationMember" xlink:href="lzm-20260930.xsd#lzm_RemunerationMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_RemunerationMember" xlink:to="lab_lzm_RemunerationMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_NumberOfTonnesPerAnnum_019fae60-c1ca-72ce-a8be-6ad86fa9aa5b_terseLabel_en-US" xlink:label="lab_lzm_NumberOfTonnesPerAnnum" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Number of tonnes per annum</link:label>
    <link:label id="lab_lzm_NumberOfTonnesPerAnnum_label_en-US" xlink:label="lab_lzm_NumberOfTonnesPerAnnum" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number Of Tonnes Per Annum</link:label>
    <link:label id="lab_lzm_NumberOfTonnesPerAnnum_documentation_en-US" xlink:label="lab_lzm_NumberOfTonnesPerAnnum" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Number Of Tonnes Per Annum</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_NumberOfTonnesPerAnnum" xlink:href="lzm-20260930.xsd#lzm_NumberOfTonnesPerAnnum"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_NumberOfTonnesPerAnnum" xlink:to="lab_lzm_NumberOfTonnesPerAnnum" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_IncreaseDecreaseInCashAndCashEquivalentsBeforeEffectOfExchangeRateChanges_019fae60-c1ca-7182-b303-f4930ac1848a_totalLabel_en-US" xlink:label="lab_ifrs-full_IncreaseDecreaseInCashAndCashEquivalentsBeforeEffectOfExchangeRateChanges" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Net increase (decrease) in cash and cash equivalents</link:label>
    <link:label id="lab_ifrs-full_IncreaseDecreaseInCashAndCashEquivalentsBeforeEffectOfExchangeRateChanges_label_en-US" xlink:label="lab_ifrs-full_IncreaseDecreaseInCashAndCashEquivalentsBeforeEffectOfExchangeRateChanges" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Increase (decrease) in cash and cash equivalents before effect of exchange rate changes</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_IncreaseDecreaseInCashAndCashEquivalentsBeforeEffectOfExchangeRateChanges" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_IncreaseDecreaseInCashAndCashEquivalentsBeforeEffectOfExchangeRateChanges"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_IncreaseDecreaseInCashAndCashEquivalentsBeforeEffectOfExchangeRateChanges" xlink:to="lab_ifrs-full_IncreaseDecreaseInCashAndCashEquivalentsBeforeEffectOfExchangeRateChanges" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_TypesOfSharebasedPaymentArrangementsAxis_019fae60-c133-7b5e-8e98-07ab1978e5bd_terseLabel_en-US" xlink:label="lab_ifrs-full_TypesOfSharebasedPaymentArrangementsAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Types of share-based payment arrangements [axis]</link:label>
    <link:label id="lab_ifrs-full_TypesOfSharebasedPaymentArrangementsAxis_label_en-US" xlink:label="lab_ifrs-full_TypesOfSharebasedPaymentArrangementsAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Types of share-based payment arrangements [axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_TypesOfSharebasedPaymentArrangementsAxis" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_TypesOfSharebasedPaymentArrangementsAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_TypesOfSharebasedPaymentArrangementsAxis" xlink:to="lab_ifrs-full_TypesOfSharebasedPaymentArrangementsAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_AdjustmentsForDecreaseIncreaseInOtherOperatingReceivables_019fae60-c133-7c91-aeb1-09f7e9e51100_terseLabel_en-US" xlink:label="lab_ifrs-full_AdjustmentsForDecreaseIncreaseInOtherOperatingReceivables" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Changes in related party receivables</link:label>
    <link:label id="lab_ifrs-full_AdjustmentsForDecreaseIncreaseInOtherOperatingReceivables_label_en-US" xlink:label="lab_ifrs-full_AdjustmentsForDecreaseIncreaseInOtherOperatingReceivables" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Adjustments for decrease (increase) in other operating receivables</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_AdjustmentsForDecreaseIncreaseInOtherOperatingReceivables" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_AdjustmentsForDecreaseIncreaseInOtherOperatingReceivables"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_AdjustmentsForDecreaseIncreaseInOtherOperatingReceivables" xlink:to="lab_ifrs-full_AdjustmentsForDecreaseIncreaseInOtherOperatingReceivables" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_AcceleratedCapitalDeductionsForWhichNoDeferredTaxAssetRecognised_019fae60-c1ca-7cb5-b403-b7b3248b5395_terseLabel_en-US" xlink:label="lab_lzm_AcceleratedCapitalDeductionsForWhichNoDeferredTaxAssetRecognised" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Accelerated capital deductions</link:label>
    <link:label id="lab_lzm_AcceleratedCapitalDeductionsForWhichNoDeferredTaxAssetRecognised_label_en-US" xlink:label="lab_lzm_AcceleratedCapitalDeductionsForWhichNoDeferredTaxAssetRecognised" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Accelerated Capital Deductions For Which No Deferred Tax Asset Recognised</link:label>
    <link:label id="lab_lzm_AcceleratedCapitalDeductionsForWhichNoDeferredTaxAssetRecognised_documentation_en-US" xlink:label="lab_lzm_AcceleratedCapitalDeductionsForWhichNoDeferredTaxAssetRecognised" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Accelerated Capital Deductions For Which No Deferred Tax Asset Recognised</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_AcceleratedCapitalDeductionsForWhichNoDeferredTaxAssetRecognised" xlink:href="lzm-20260930.xsd#lzm_AcceleratedCapitalDeductionsForWhichNoDeferredTaxAssetRecognised"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_AcceleratedCapitalDeductionsForWhichNoDeferredTaxAssetRecognised" xlink:to="lab_lzm_AcceleratedCapitalDeductionsForWhichNoDeferredTaxAssetRecognised" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfFairValueMeasurementOfLiabilitiesExplanatory_019fae60-c253-7a6a-9d3b-b77648d0d8d4_verboseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfFairValueMeasurementOfLiabilitiesExplanatory" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Conversion Right using Finite Difference Method</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfFairValueMeasurementOfLiabilitiesExplanatory_019fae60-c253-7682-b9a1-ecabdcba8a13_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfFairValueMeasurementOfLiabilitiesExplanatory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Fair Value of Earnouts Granted</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfFairValueMeasurementOfLiabilitiesExplanatory_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfFairValueMeasurementOfLiabilitiesExplanatory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of fair value measurement of liabilities [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfFairValueMeasurementOfLiabilitiesExplanatory" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfFairValueMeasurementOfLiabilitiesExplanatory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfFairValueMeasurementOfLiabilitiesExplanatory" xlink:to="lab_ifrs-full_DisclosureOfFairValueMeasurementOfLiabilitiesExplanatory" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_IssueOfEquity_019fae60-c253-7153-a303-a03624d932c7_terseLabel_en-US" xlink:label="lab_ifrs-full_IssueOfEquity" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Issuance of shares on vesting of RSUs</link:label>
    <link:label id="lab_ifrs-full_IssueOfEquity_label_en-US" xlink:label="lab_ifrs-full_IssueOfEquity" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Issue of equity</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_IssueOfEquity" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_IssueOfEquity"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_IssueOfEquity" xlink:to="lab_ifrs-full_IssueOfEquity" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_OtherCurrentTaxProvisions_019fae60-c253-76e2-89c8-ffe1e0d35391_terseLabel_en-US" xlink:label="lab_lzm_OtherCurrentTaxProvisions" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Provision for other taxes</link:label>
    <link:label id="lab_lzm_OtherCurrentTaxProvisions_label_en-US" xlink:label="lab_lzm_OtherCurrentTaxProvisions" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Other Current Tax Provisions</link:label>
    <link:label id="lab_lzm_OtherCurrentTaxProvisions_documentation_en-US" xlink:label="lab_lzm_OtherCurrentTaxProvisions" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Other Current Tax Provisions</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_OtherCurrentTaxProvisions" xlink:href="lzm-20260930.xsd#lzm_OtherCurrentTaxProvisions"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_OtherCurrentTaxProvisions" xlink:to="lab_lzm_OtherCurrentTaxProvisions" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_BorrowingsInterestPaymentInKindAccrualPeriod_019fae60-c1ca-7d55-a9d7-cc774435a5d1_terseLabel_en-US" xlink:label="lab_lzm_BorrowingsInterestPaymentInKindAccrualPeriod" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Borrowings, interest, payment in kind accrual period</link:label>
    <link:label id="lab_lzm_BorrowingsInterestPaymentInKindAccrualPeriod_label_en-US" xlink:label="lab_lzm_BorrowingsInterestPaymentInKindAccrualPeriod" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Borrowings, Interest, Payment In Kind Accrual Period</link:label>
    <link:label id="lab_lzm_BorrowingsInterestPaymentInKindAccrualPeriod_documentation_en-US" xlink:label="lab_lzm_BorrowingsInterestPaymentInKindAccrualPeriod" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Borrowings, Interest, Payment In Kind Accrual Period</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_BorrowingsInterestPaymentInKindAccrualPeriod" xlink:href="lzm-20260930.xsd#lzm_BorrowingsInterestPaymentInKindAccrualPeriod"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_BorrowingsInterestPaymentInKindAccrualPeriod" xlink:to="lab_lzm_BorrowingsInterestPaymentInKindAccrualPeriod" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_SeniorSecuredBridgeLoanFacilityMember_019fae60-c1ca-7e4e-bc35-15ca56d65c28_terseLabel_en-US" xlink:label="lab_lzm_SeniorSecuredBridgeLoanFacilityMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Senior Secured Bridge Loan Facility Warrants</link:label>
    <link:label id="lab_lzm_SeniorSecuredBridgeLoanFacilityMember_019fae60-c1ca-7567-849a-4e6898a81b1e_netLabel_en-US" xlink:label="lab_lzm_SeniorSecuredBridgeLoanFacilityMember" xlink:role="http://www.xbrl.org/2009/role/netLabel" xlink:type="resource" xml:lang="en-US">Senior Secured Bridge Loan Facility Warrants</link:label>
    <link:label id="lab_lzm_SeniorSecuredBridgeLoanFacilityMember_label_en-US" xlink:label="lab_lzm_SeniorSecuredBridgeLoanFacilityMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Senior Secured Bridge Loan Facility [Member]</link:label>
    <link:label id="lab_lzm_SeniorSecuredBridgeLoanFacilityMember_documentation_en-US" xlink:label="lab_lzm_SeniorSecuredBridgeLoanFacilityMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Senior Secured Bridge Loan Facility</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_SeniorSecuredBridgeLoanFacilityMember" xlink:href="lzm-20260930.xsd#lzm_SeniorSecuredBridgeLoanFacilityMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_SeniorSecuredBridgeLoanFacilityMember" xlink:to="lab_lzm_SeniorSecuredBridgeLoanFacilityMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ConsultancyFeesAndBonusesMember_019fae60-c1ca-7293-a2b4-2438dc5c08e8_terseLabel_en-US" xlink:label="lab_lzm_ConsultancyFeesAndBonusesMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Consultant fees</link:label>
    <link:label id="lab_lzm_ConsultancyFeesAndBonusesMember_label_en-US" xlink:label="lab_lzm_ConsultancyFeesAndBonusesMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Consultancy Fees And Bonuses [Member]</link:label>
    <link:label id="lab_lzm_ConsultancyFeesAndBonusesMember_documentation_en-US" xlink:label="lab_lzm_ConsultancyFeesAndBonusesMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Consultancy Fees And Bonuses</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ConsultancyFeesAndBonusesMember" xlink:href="lzm-20260930.xsd#lzm_ConsultancyFeesAndBonusesMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ConsultancyFeesAndBonusesMember" xlink:to="lab_lzm_ConsultancyFeesAndBonusesMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_AccountingProfit_019fae60-c133-73b5-b744-4ffeea481abb_terseLabel_en-US" xlink:label="lab_ifrs-full_AccountingProfit" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Loss for the period before tax</link:label>
    <link:label id="lab_ifrs-full_AccountingProfit_label_en-US" xlink:label="lab_ifrs-full_AccountingProfit" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Accounting profit</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_AccountingProfit" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_AccountingProfit"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_AccountingProfit" xlink:to="lab_ifrs-full_AccountingProfit" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DepreciationPropertyPlantAndEquipmentIncludingRightofuseAssets_019fae60-c1ca-7269-96ab-624a3ef76b97_terseLabel_en-US" xlink:label="lab_ifrs-full_DepreciationPropertyPlantAndEquipmentIncludingRightofuseAssets" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Charge</link:label>
    <link:label id="lab_ifrs-full_DepreciationPropertyPlantAndEquipmentIncludingRightofuseAssets_label_en-US" xlink:label="lab_ifrs-full_DepreciationPropertyPlantAndEquipmentIncludingRightofuseAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Depreciation, property, plant and equipment including right-of-use assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DepreciationPropertyPlantAndEquipmentIncludingRightofuseAssets" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DepreciationPropertyPlantAndEquipmentIncludingRightofuseAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DepreciationPropertyPlantAndEquipmentIncludingRightofuseAssets" xlink:to="lab_ifrs-full_DepreciationPropertyPlantAndEquipmentIncludingRightofuseAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_DeferredFinancingCosts_019fae60-c253-705a-9703-5c3af7158b5f_terseLabel_en-US" xlink:label="lab_lzm_DeferredFinancingCosts" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Deferred financing costs</link:label>
    <link:label id="lab_lzm_DeferredFinancingCosts_label_en-US" xlink:label="lab_lzm_DeferredFinancingCosts" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Deferred Financing Costs</link:label>
    <link:label id="lab_lzm_DeferredFinancingCosts_documentation_en-US" xlink:label="lab_lzm_DeferredFinancingCosts" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Deferred Financing Costs</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_DeferredFinancingCosts" xlink:href="lzm-20260930.xsd#lzm_DeferredFinancingCosts"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_DeferredFinancingCosts" xlink:to="lab_lzm_DeferredFinancingCosts" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_RelatedPartyTransactionsAmount_01a15b32-cdf0-77e1-9071-3f7fbded1a2e_terseLabel_en-US" xlink:label="lab_lzm_RelatedPartyTransactionsAmount" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Related party transactions, amount</link:label>
    <link:label id="lab_lzm_RelatedPartyTransactionsAmount_label_en-US" xlink:label="lab_lzm_RelatedPartyTransactionsAmount" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Related party transactions, amount</link:label>
    <link:label id="lab_lzm_RelatedPartyTransactionsAmount_documentation_en-US" xlink:label="lab_lzm_RelatedPartyTransactionsAmount" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Related party transactions, amount</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_RelatedPartyTransactionsAmount" xlink:href="lzm-20260930.xsd#lzm_RelatedPartyTransactionsAmount"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_RelatedPartyTransactionsAmount" xlink:to="lab_lzm_RelatedPartyTransactionsAmount" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfIssuedCapitalExplanatory_019fae60-c1ca-7a3e-812f-abde66b585c4_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfIssuedCapitalExplanatory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Reconciliation of Shareholders' Equity Movement</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfIssuedCapitalExplanatory_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfIssuedCapitalExplanatory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of issued capital [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfIssuedCapitalExplanatory" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfIssuedCapitalExplanatory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfIssuedCapitalExplanatory" xlink:to="lab_ifrs-full_DisclosureOfIssuedCapitalExplanatory" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_PropertyPlantAndEquipmentIncludingRightofuseAssetsDomain_019fae60-c253-7e94-a9c0-5fa65e0b5de6_terseLabel_en-US" xlink:label="lab_ifrs-full_PropertyPlantAndEquipmentIncludingRightofuseAssetsDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Property, plant and equipment including right-of-use assets [domain]</link:label>
    <link:label id="lab_ifrs-full_PropertyPlantAndEquipmentIncludingRightofuseAssetsDomain_label_en-US" xlink:label="lab_ifrs-full_PropertyPlantAndEquipmentIncludingRightofuseAssetsDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Property, plant and equipment including right-of-use assets [domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_PropertyPlantAndEquipmentIncludingRightofuseAssetsDomain" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_PropertyPlantAndEquipmentIncludingRightofuseAssetsDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_PropertyPlantAndEquipmentIncludingRightofuseAssetsDomain" xlink:to="lab_ifrs-full_PropertyPlantAndEquipmentIncludingRightofuseAssetsDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_SignificantInvestmentsInSubsidiariesDomain_019fae60-c1ca-71e5-9b20-b88794e755fa_terseLabel_en-US" xlink:label="lab_ifrs-full_SignificantInvestmentsInSubsidiariesDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Subsidiaries [domain]</link:label>
    <link:label id="lab_ifrs-full_SignificantInvestmentsInSubsidiariesDomain_label_en-US" xlink:label="lab_ifrs-full_SignificantInvestmentsInSubsidiariesDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Subsidiaries [domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_SignificantInvestmentsInSubsidiariesDomain" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_SignificantInvestmentsInSubsidiariesDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_SignificantInvestmentsInSubsidiariesDomain" xlink:to="lab_ifrs-full_SignificantInvestmentsInSubsidiariesDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_BorrowingsByNameAxis_019fae60-c253-77be-a1ce-c7b2ba9a684a_terseLabel_en-US" xlink:label="lab_ifrs-full_BorrowingsByNameAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Borrowings by name [axis]</link:label>
    <link:label id="lab_ifrs-full_BorrowingsByNameAxis_label_en-US" xlink:label="lab_ifrs-full_BorrowingsByNameAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Borrowings by name [axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_BorrowingsByNameAxis" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_BorrowingsByNameAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_BorrowingsByNameAxis" xlink:to="lab_ifrs-full_BorrowingsByNameAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfTradeAndOtherPayablesExplanatory_019fae60-c1ca-7873-91e2-acf61219933b_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfTradeAndOtherPayablesExplanatory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Trade and other payables</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfTradeAndOtherPayablesExplanatory_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfTradeAndOtherPayablesExplanatory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of trade and other payables [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfTradeAndOtherPayablesExplanatory" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfTradeAndOtherPayablesExplanatory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfTradeAndOtherPayablesExplanatory" xlink:to="lab_ifrs-full_DisclosureOfTradeAndOtherPayablesExplanatory" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ReserveOfSharebasedPayments_019fae60-c133-7a7b-8407-658093aeda79_verboseLabel_en-US" xlink:label="lab_ifrs-full_ReserveOfSharebasedPayments" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Share-based payment reserve</link:label>
    <link:label id="lab_ifrs-full_ReserveOfSharebasedPayments_label_en-US" xlink:label="lab_ifrs-full_ReserveOfSharebasedPayments" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Reserve of share-based payments</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ReserveOfSharebasedPayments" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ReserveOfSharebasedPayments"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ReserveOfSharebasedPayments" xlink:to="lab_ifrs-full_ReserveOfSharebasedPayments" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfClassesOfShareCapitalExplanatory_019fae60-c1ca-7cfb-af64-618876687301_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfClassesOfShareCapitalExplanatory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Equity</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfClassesOfShareCapitalExplanatory_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfClassesOfShareCapitalExplanatory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of classes of share capital [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfClassesOfShareCapitalExplanatory" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfClassesOfShareCapitalExplanatory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfClassesOfShareCapitalExplanatory" xlink:to="lab_ifrs-full_DisclosureOfClassesOfShareCapitalExplanatory" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_FairValueOfWarrants_019fae60-c253-7756-947e-42354d406ab6_terseLabel_en-US" xlink:label="lab_lzm_FairValueOfWarrants" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Gain on remeasurement of warrants</link:label>
    <link:label id="lab_lzm_FairValueOfWarrants_label_en-US" xlink:label="lab_lzm_FairValueOfWarrants" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Fair Value Of Warrants</link:label>
    <link:label id="lab_lzm_FairValueOfWarrants_documentation_en-US" xlink:label="lab_lzm_FairValueOfWarrants" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Fair Value Of Warrants</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_FairValueOfWarrants" xlink:href="lzm-20260930.xsd#lzm_FairValueOfWarrants"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_FairValueOfWarrants" xlink:to="lab_lzm_FairValueOfWarrants" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_TravelExpense_019fae60-c1ca-723a-a8f6-ba026fb9991a_terseLabel_en-US" xlink:label="lab_ifrs-full_TravelExpense" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Travel</link:label>
    <link:label id="lab_ifrs-full_TravelExpense_label_en-US" xlink:label="lab_ifrs-full_TravelExpense" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Travel expense</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_TravelExpense" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_TravelExpense"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_TravelExpense" xlink:to="lab_ifrs-full_TravelExpense" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_AirvolutionCoLimitedMember_019fae60-c1ca-7d43-8aa5-0be0e8b88e08_terseLabel_en-US" xlink:label="lab_lzm_AirvolutionCoLimitedMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Airvolution Co. Limited</link:label>
    <link:label id="lab_lzm_AirvolutionCoLimitedMember_label_en-US" xlink:label="lab_lzm_AirvolutionCoLimitedMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Airvolution Co Limited [Member]</link:label>
    <link:label id="lab_lzm_AirvolutionCoLimitedMember_documentation_en-US" xlink:label="lab_lzm_AirvolutionCoLimitedMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Airvolution Co Limited</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_AirvolutionCoLimitedMember" xlink:href="lzm-20260930.xsd#lzm_AirvolutionCoLimitedMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_AirvolutionCoLimitedMember" xlink:to="lab_lzm_AirvolutionCoLimitedMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfFinancialInstrumentsExplanatory_019fae60-c1ca-7b43-83da-eb226efec768_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfFinancialInstrumentsExplanatory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Financial Instruments</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfFinancialInstrumentsExplanatory_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfFinancialInstrumentsExplanatory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of financial instruments [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfFinancialInstrumentsExplanatory" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfFinancialInstrumentsExplanatory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfFinancialInstrumentsExplanatory" xlink:to="lab_ifrs-full_DisclosureOfFinancialInstrumentsExplanatory" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfCommitmentsAndContingentLiabilitiesExplanatory_019fae60-c133-767d-b846-ddc514eb1c40_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfCommitmentsAndContingentLiabilitiesExplanatory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Deferred consideration</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfCommitmentsAndContingentLiabilitiesExplanatory_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfCommitmentsAndContingentLiabilitiesExplanatory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of commitments and contingent liabilities [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfCommitmentsAndContingentLiabilitiesExplanatory" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfCommitmentsAndContingentLiabilitiesExplanatory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfCommitmentsAndContingentLiabilitiesExplanatory" xlink:to="lab_ifrs-full_DisclosureOfCommitmentsAndContingentLiabilitiesExplanatory" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfDetailedInformationAboutPropertyPlantAndEquipmentExplanatory_019fae60-c1ca-7ccb-aa99-50ca6f56ce23_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfDetailedInformationAboutPropertyPlantAndEquipmentExplanatory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Property and Equipment and Right-of-Use Assets</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfDetailedInformationAboutPropertyPlantAndEquipmentExplanatory_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfDetailedInformationAboutPropertyPlantAndEquipmentExplanatory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of detailed information about property, plant and equipment [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfDetailedInformationAboutPropertyPlantAndEquipmentExplanatory" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfDetailedInformationAboutPropertyPlantAndEquipmentExplanatory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfDetailedInformationAboutPropertyPlantAndEquipmentExplanatory" xlink:to="lab_ifrs-full_DisclosureOfDetailedInformationAboutPropertyPlantAndEquipmentExplanatory" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ClassesOfIntangibleAssetsAndGoodwillDomain_019fae60-c133-7bf5-9643-d210f2dafdaf_terseLabel_en-US" xlink:label="lab_ifrs-full_ClassesOfIntangibleAssetsAndGoodwillDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Classes of intangible assets and goodwill [domain]</link:label>
    <link:label id="lab_ifrs-full_ClassesOfIntangibleAssetsAndGoodwillDomain_label_en-US" xlink:label="lab_ifrs-full_ClassesOfIntangibleAssetsAndGoodwillDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Classes of intangible assets and goodwill [domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ClassesOfIntangibleAssetsAndGoodwillDomain" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ClassesOfIntangibleAssetsAndGoodwillDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ClassesOfIntangibleAssetsAndGoodwillDomain" xlink:to="lab_ifrs-full_ClassesOfIntangibleAssetsAndGoodwillDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_BorrowingsInterestRate_019fae60-c253-7b18-a9e1-0d26f6b01965_terseLabel_en-US" xlink:label="lab_ifrs-full_BorrowingsInterestRate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest rate</link:label>
    <link:label id="lab_ifrs-full_BorrowingsInterestRate_label_en-US" xlink:label="lab_ifrs-full_BorrowingsInterestRate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Borrowings, interest rate</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_BorrowingsInterestRate" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_BorrowingsInterestRate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_BorrowingsInterestRate" xlink:to="lab_ifrs-full_BorrowingsInterestRate" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_CashFlowsFromUsedInInvestingActivities_019fae60-c1ca-7434-9dae-c5bf4425d897_totalLabel_en-US" xlink:label="lab_ifrs-full_CashFlowsFromUsedInInvestingActivities" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Net cash used in investing activities</link:label>
    <link:label id="lab_ifrs-full_CashFlowsFromUsedInInvestingActivities_label_en-US" xlink:label="lab_ifrs-full_CashFlowsFromUsedInInvestingActivities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash flows from (used in) investing activities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_CashFlowsFromUsedInInvestingActivities" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_CashFlowsFromUsedInInvestingActivities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_CashFlowsFromUsedInInvestingActivities" xlink:to="lab_ifrs-full_CashFlowsFromUsedInInvestingActivities" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfDerivativeFinancialInstrumentsExplanatory_019fae60-c133-72bc-b47f-17500f157b9c_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfDerivativeFinancialInstrumentsExplanatory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Fair value gain (loss) on embedded derivatives</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfDerivativeFinancialInstrumentsExplanatory_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfDerivativeFinancialInstrumentsExplanatory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of derivative financial instruments [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfDerivativeFinancialInstrumentsExplanatory" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfDerivativeFinancialInstrumentsExplanatory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfDerivativeFinancialInstrumentsExplanatory" xlink:to="lab_ifrs-full_DisclosureOfDerivativeFinancialInstrumentsExplanatory" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_OtherDebtInstrumentsHeld_019fae60-c1ca-71a7-aff3-388e41f2b19e_terseLabel_en-US" xlink:label="lab_ifrs-full_OtherDebtInstrumentsHeld" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Debt instrument</link:label>
    <link:label id="lab_ifrs-full_OtherDebtInstrumentsHeld_label_en-US" xlink:label="lab_ifrs-full_OtherDebtInstrumentsHeld" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Other debt instruments held</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_OtherDebtInstrumentsHeld" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_OtherDebtInstrumentsHeld"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_OtherDebtInstrumentsHeld" xlink:to="lab_ifrs-full_OtherDebtInstrumentsHeld" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_OtherComponentsOfDeferredTaxExpenseIncome_019fae60-c253-7cbc-96f4-1c129ec951ab_terseLabel_en-US" xlink:label="lab_ifrs-full_OtherComponentsOfDeferredTaxExpenseIncome" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Other permanent differences</link:label>
    <link:label id="lab_ifrs-full_OtherComponentsOfDeferredTaxExpenseIncome_label_en-US" xlink:label="lab_ifrs-full_OtherComponentsOfDeferredTaxExpenseIncome" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Other components of deferred tax expense (income)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_OtherComponentsOfDeferredTaxExpenseIncome" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_OtherComponentsOfDeferredTaxExpenseIncome"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_OtherComponentsOfDeferredTaxExpenseIncome" xlink:to="lab_ifrs-full_OtherComponentsOfDeferredTaxExpenseIncome" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_PercentageOfAssetsLocated_019fae60-c133-70a1-8932-b2e896cb6869_terseLabel_en-US" xlink:label="lab_lzm_PercentageOfAssetsLocated" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Percentage assets located</link:label>
    <link:label id="lab_lzm_PercentageOfAssetsLocated_label_en-US" xlink:label="lab_lzm_PercentageOfAssetsLocated" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Percentage Of Assets Located</link:label>
    <link:label id="lab_lzm_PercentageOfAssetsLocated_documentation_en-US" xlink:label="lab_lzm_PercentageOfAssetsLocated" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Percentage assets are located.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_PercentageOfAssetsLocated" xlink:href="lzm-20260930.xsd#lzm_PercentageOfAssetsLocated"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_PercentageOfAssetsLocated" xlink:to="lab_lzm_PercentageOfAssetsLocated" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfIntangibleAssetsLineItems_019fae60-c133-7f82-b33b-3cec71ab0034_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfIntangibleAssetsLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Disclosure of detailed information about intangible assets [line items]</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfIntangibleAssetsLineItems_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfIntangibleAssetsLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of detailed information about intangible assets [line items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfIntangibleAssetsLineItems" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfIntangibleAssetsLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfIntangibleAssetsLineItems" xlink:to="lab_ifrs-full_DisclosureOfIntangibleAssetsLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_AmortisationIntangibleAssetsOtherThanGoodwill_019fae60-c1ca-7ea5-96bd-945f40b5fcc1_terseLabel_en-US" xlink:label="lab_ifrs-full_AmortisationIntangibleAssetsOtherThanGoodwill" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Amortization of intangible assets</link:label>
    <link:label id="lab_ifrs-full_AmortisationIntangibleAssetsOtherThanGoodwill_019fae60-c1ca-77d3-b724-f68a92c0ef4c_negatedTerseLabel_en-US" xlink:label="lab_ifrs-full_AmortisationIntangibleAssetsOtherThanGoodwill" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Charge</link:label>
    <link:label id="lab_ifrs-full_AmortisationIntangibleAssetsOtherThanGoodwill_label_en-US" xlink:label="lab_ifrs-full_AmortisationIntangibleAssetsOtherThanGoodwill" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Amortisation, intangible assets other than goodwill</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_AmortisationIntangibleAssetsOtherThanGoodwill" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_AmortisationIntangibleAssetsOtherThanGoodwill"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_AmortisationIntangibleAssetsOtherThanGoodwill" xlink:to="lab_ifrs-full_AmortisationIntangibleAssetsOtherThanGoodwill" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DescriptionOfAccountingPolicyForFinancialInstrumentsExplanatory_019fae60-c1ca-79ab-becf-5cdd4037cfe7_terseLabel_en-US" xlink:label="lab_ifrs-full_DescriptionOfAccountingPolicyForFinancialInstrumentsExplanatory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Foreign Private Issuer status</link:label>
    <link:label id="lab_ifrs-full_DescriptionOfAccountingPolicyForFinancialInstrumentsExplanatory_label_en-US" xlink:label="lab_ifrs-full_DescriptionOfAccountingPolicyForFinancialInstrumentsExplanatory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Description of accounting policy for financial instruments [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DescriptionOfAccountingPolicyForFinancialInstrumentsExplanatory" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DescriptionOfAccountingPolicyForFinancialInstrumentsExplanatory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DescriptionOfAccountingPolicyForFinancialInstrumentsExplanatory" xlink:to="lab_ifrs-full_DescriptionOfAccountingPolicyForFinancialInstrumentsExplanatory" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_CurrentAssets_019fae60-c1ca-7214-9876-9c89e2b0a8ec_totalLabel_en-US" xlink:label="lab_ifrs-full_CurrentAssets" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Current assets</link:label>
    <link:label id="lab_ifrs-full_CurrentAssets_label_en-US" xlink:label="lab_ifrs-full_CurrentAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Current assets</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_CurrentAssets" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_CurrentAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_CurrentAssets" xlink:to="lab_ifrs-full_CurrentAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ShareOptionsMember_019fae60-c253-7f18-b072-96eab4c93c26_terseLabel_en-US" xlink:label="lab_ifrs-full_ShareOptionsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Stock options</link:label>
    <link:label id="lab_ifrs-full_ShareOptionsMember_label_en-US" xlink:label="lab_ifrs-full_ShareOptionsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Share options [member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ShareOptionsMember" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ShareOptionsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ShareOptionsMember" xlink:to="lab_ifrs-full_ShareOptionsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfOperatingSegmentsTable_019fae60-c1ca-78c2-958f-b647bcfbaa09_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfOperatingSegmentsTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Disclosure of operating segments [table]</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfOperatingSegmentsTable_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfOperatingSegmentsTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of operating segments [table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfOperatingSegmentsTable" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfOperatingSegmentsTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfOperatingSegmentsTable" xlink:to="lab_ifrs-full_DisclosureOfOperatingSegmentsTable" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_FirstDeferredCashPaymentMember_019fae60-c1ca-77cd-abd5-31aba1b6c039_terseLabel_en-US" xlink:label="lab_lzm_FirstDeferredCashPaymentMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">First Deferred Cash Payment</link:label>
    <link:label id="lab_lzm_FirstDeferredCashPaymentMember_label_en-US" xlink:label="lab_lzm_FirstDeferredCashPaymentMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">First Deferred Cash Payment [Member]</link:label>
    <link:label id="lab_lzm_FirstDeferredCashPaymentMember_documentation_en-US" xlink:label="lab_lzm_FirstDeferredCashPaymentMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">First Deferred Cash Payment</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_FirstDeferredCashPaymentMember" xlink:href="lzm-20260930.xsd#lzm_FirstDeferredCashPaymentMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_FirstDeferredCashPaymentMember" xlink:to="lab_lzm_FirstDeferredCashPaymentMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DeferredTaxExpenseIncomeRecognisedInProfitOrLoss_019fae60-c253-7f95-9387-969afbfacd09_terseLabel_en-US" xlink:label="lab_ifrs-full_DeferredTaxExpenseIncomeRecognisedInProfitOrLoss" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Movement in deferred tax not recognized</link:label>
    <link:label id="lab_ifrs-full_DeferredTaxExpenseIncomeRecognisedInProfitOrLoss_label_en-US" xlink:label="lab_ifrs-full_DeferredTaxExpenseIncomeRecognisedInProfitOrLoss" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Deferred tax expense (income) recognised in profit or loss</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DeferredTaxExpenseIncomeRecognisedInProfitOrLoss" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DeferredTaxExpenseIncomeRecognisedInProfitOrLoss"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DeferredTaxExpenseIncomeRecognisedInProfitOrLoss" xlink:to="lab_ifrs-full_DeferredTaxExpenseIncomeRecognisedInProfitOrLoss" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_WarrantSharesRollForward_019fae60-c133-75a0-9e48-8b788ea4e10e_terseLabel_en-US" xlink:label="lab_lzm_WarrantSharesRollForward" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Warrant, Shares [Roll Forward]</link:label>
    <link:label id="lab_lzm_WarrantSharesRollForward_label_en-US" xlink:label="lab_lzm_WarrantSharesRollForward" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Warrant, Shares [Roll Forward]</link:label>
    <link:label id="lab_lzm_WarrantSharesRollForward_documentation_en-US" xlink:label="lab_lzm_WarrantSharesRollForward" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Warrant, Shares</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_WarrantSharesRollForward" xlink:href="lzm-20260930.xsd#lzm_WarrantSharesRollForward"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_WarrantSharesRollForward" xlink:to="lab_lzm_WarrantSharesRollForward" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_RelatedPartyTransaction1Domain_019fae60-c1ca-7ea6-9ca9-1b2968c165d4_terseLabel_en-US" xlink:label="lab_lzm_RelatedPartyTransaction1Domain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Related Party Transaction [Domain]</link:label>
    <link:label id="lab_lzm_RelatedPartyTransaction1Domain_label_en-US" xlink:label="lab_lzm_RelatedPartyTransaction1Domain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Related Party Transaction1 [Domain]</link:label>
    <link:label id="lab_lzm_RelatedPartyTransaction1Domain_documentation_en-US" xlink:label="lab_lzm_RelatedPartyTransaction1Domain" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Related Party Transaction [Domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_RelatedPartyTransaction1Domain" xlink:href="lzm-20260930.xsd#lzm_RelatedPartyTransaction1Domain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_RelatedPartyTransaction1Domain" xlink:to="lab_lzm_RelatedPartyTransaction1Domain" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ChangesToBorrowingRollForward_019fae60-c253-7284-aaac-7cdaada8567a_terseLabel_en-US" xlink:label="lab_lzm_ChangesToBorrowingRollForward" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Changes To Borrowing [Roll Forward]</link:label>
    <link:label id="lab_lzm_ChangesToBorrowingRollForward_label_en-US" xlink:label="lab_lzm_ChangesToBorrowingRollForward" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Changes To Borrowing [Roll Forward]</link:label>
    <link:label id="lab_lzm_ChangesToBorrowingRollForward_documentation_en-US" xlink:label="lab_lzm_ChangesToBorrowingRollForward" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Changes To Borrowing</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ChangesToBorrowingRollForward" xlink:href="lzm-20260930.xsd#lzm_ChangesToBorrowingRollForward"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ChangesToBorrowingRollForward" xlink:to="lab_lzm_ChangesToBorrowingRollForward" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_CashFlowsFromUsedInOperationsBeforeChangesInWorkingCapital_019fae60-c253-733d-9730-8ec47dad402a_totalLabel_en-US" xlink:label="lab_ifrs-full_CashFlowsFromUsedInOperationsBeforeChangesInWorkingCapital" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Operating loss before working capital changes</link:label>
    <link:label id="lab_ifrs-full_CashFlowsFromUsedInOperationsBeforeChangesInWorkingCapital_label_en-US" xlink:label="lab_ifrs-full_CashFlowsFromUsedInOperationsBeforeChangesInWorkingCapital" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Cash flows from (used in) operations before changes in working capital</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_CashFlowsFromUsedInOperationsBeforeChangesInWorkingCapital" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_CashFlowsFromUsedInOperationsBeforeChangesInWorkingCapital"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_CashFlowsFromUsedInOperationsBeforeChangesInWorkingCapital" xlink:to="lab_ifrs-full_CashFlowsFromUsedInOperationsBeforeChangesInWorkingCapital" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_SegmentsAxis_019fae60-c1ca-785e-9860-a2bbb91b0bbe_terseLabel_en-US" xlink:label="lab_ifrs-full_SegmentsAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Segments [axis]</link:label>
    <link:label id="lab_ifrs-full_SegmentsAxis_label_en-US" xlink:label="lab_ifrs-full_SegmentsAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Segments [axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_SegmentsAxis" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_SegmentsAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_SegmentsAxis" xlink:to="lab_ifrs-full_SegmentsAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_TypesOfRisksAxis_019fae60-c1ca-7ec7-8b2c-3d43f461bb06_terseLabel_en-US" xlink:label="lab_ifrs-full_TypesOfRisksAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Types of risks [axis]</link:label>
    <link:label id="lab_ifrs-full_TypesOfRisksAxis_label_en-US" xlink:label="lab_ifrs-full_TypesOfRisksAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Types of risks [axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_TypesOfRisksAxis" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_TypesOfRisksAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_TypesOfRisksAxis" xlink:to="lab_ifrs-full_TypesOfRisksAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ExercisePriceOfIssuedShares_019fae60-c1ca-7c85-a054-bb258b8cc043_terseLabel_en-US" xlink:label="lab_lzm_ExercisePriceOfIssuedShares" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Exercise price of issued shares (in dollars per share)</link:label>
    <link:label id="lab_lzm_ExercisePriceOfIssuedShares_label_en-US" xlink:label="lab_lzm_ExercisePriceOfIssuedShares" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Exercise Price Of Issued Shares</link:label>
    <link:label id="lab_lzm_ExercisePriceOfIssuedShares_documentation_en-US" xlink:label="lab_lzm_ExercisePriceOfIssuedShares" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Exercise Price Of Issued Shares</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ExercisePriceOfIssuedShares" xlink:href="lzm-20260930.xsd#lzm_ExercisePriceOfIssuedShares"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ExercisePriceOfIssuedShares" xlink:to="lab_lzm_ExercisePriceOfIssuedShares" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_InterestAndCommitmentFeesPaid_019fae60-c253-794c-971c-f7312a4df0fa_negatedTerseLabel_en-US" xlink:label="lab_lzm_InterestAndCommitmentFeesPaid" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Interest and commitment fees paid</link:label>
    <link:label id="lab_lzm_InterestAndCommitmentFeesPaid_label_en-US" xlink:label="lab_lzm_InterestAndCommitmentFeesPaid" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest and commitment fees paid</link:label>
    <link:label id="lab_lzm_InterestAndCommitmentFeesPaid_documentation_en-US" xlink:label="lab_lzm_InterestAndCommitmentFeesPaid" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Interest and commitment fees paid</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_InterestAndCommitmentFeesPaid" xlink:href="lzm-20260930.xsd#lzm_InterestAndCommitmentFeesPaid"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_InterestAndCommitmentFeesPaid" xlink:to="lab_lzm_InterestAndCommitmentFeesPaid" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ScheduleOfRestrictedStockUnitsValueRollForward_019fae60-c133-7737-84f6-7ec63969e8e3_terseLabel_en-US" xlink:label="lab_lzm_ScheduleOfRestrictedStockUnitsValueRollForward" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Weighted Average Grant Date Fair Value ($)</link:label>
    <link:label id="lab_lzm_ScheduleOfRestrictedStockUnitsValueRollForward_label_en-US" xlink:label="lab_lzm_ScheduleOfRestrictedStockUnitsValueRollForward" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule Of Restricted Stock Units, Value [Roll Forward]</link:label>
    <link:label id="lab_lzm_ScheduleOfRestrictedStockUnitsValueRollForward_documentation_en-US" xlink:label="lab_lzm_ScheduleOfRestrictedStockUnitsValueRollForward" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Schedule Of Restricted Stock Units, Value</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ScheduleOfRestrictedStockUnitsValueRollForward" xlink:href="lzm-20260930.xsd#lzm_ScheduleOfRestrictedStockUnitsValueRollForward"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ScheduleOfRestrictedStockUnitsValueRollForward" xlink:to="lab_lzm_ScheduleOfRestrictedStockUnitsValueRollForward" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_TradeAndOtherPayablesAbstract_019fae60-c133-78b6-b0a1-5a1ea7ecd886_terseLabel_en-US" xlink:label="lab_ifrs-full_TradeAndOtherPayablesAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Trade and other payables [abstract]</link:label>
    <link:label id="lab_ifrs-full_TradeAndOtherPayablesAbstract_label_en-US" xlink:label="lab_ifrs-full_TradeAndOtherPayablesAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Trade and other payables [abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_TradeAndOtherPayablesAbstract" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_TradeAndOtherPayablesAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_TradeAndOtherPayablesAbstract" xlink:to="lab_ifrs-full_TradeAndOtherPayablesAbstract" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_UnusedTradingTaxLosses_019fae60-c253-7f91-8dee-0a2d63ee7458_terseLabel_en-US" xlink:label="lab_lzm_UnusedTradingTaxLosses" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Trading tax losses</link:label>
    <link:label id="lab_lzm_UnusedTradingTaxLosses_label_en-US" xlink:label="lab_lzm_UnusedTradingTaxLosses" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Unused Trading Tax Losses</link:label>
    <link:label id="lab_lzm_UnusedTradingTaxLosses_documentation_en-US" xlink:label="lab_lzm_UnusedTradingTaxLosses" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Unused Trading Tax Losses</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_UnusedTradingTaxLosses" xlink:href="lzm-20260930.xsd#lzm_UnusedTradingTaxLosses"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_UnusedTradingTaxLosses" xlink:to="lab_lzm_UnusedTradingTaxLosses" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfTransactionsBetweenRelatedPartiesTable_019fae60-c1ca-706e-a2a2-ae7183428a55_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfTransactionsBetweenRelatedPartiesTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Disclosure of transactions between related parties [table]</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfTransactionsBetweenRelatedPartiesTable_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfTransactionsBetweenRelatedPartiesTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of transactions between related parties [table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfTransactionsBetweenRelatedPartiesTable" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfTransactionsBetweenRelatedPartiesTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfTransactionsBetweenRelatedPartiesTable" xlink:to="lab_ifrs-full_DisclosureOfTransactionsBetweenRelatedPartiesTable" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DepreciationPropertyPlantAndEquipment_019fae60-c1ca-7edc-9349-fc68ec2c3546_terseLabel_en-US" xlink:label="lab_ifrs-full_DepreciationPropertyPlantAndEquipment" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Depreciation of property and equipment</link:label>
    <link:label id="lab_ifrs-full_DepreciationPropertyPlantAndEquipment_label_en-US" xlink:label="lab_ifrs-full_DepreciationPropertyPlantAndEquipment" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Depreciation, property, plant and equipment</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DepreciationPropertyPlantAndEquipment" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DepreciationPropertyPlantAndEquipment"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DepreciationPropertyPlantAndEquipment" xlink:to="lab_ifrs-full_DepreciationPropertyPlantAndEquipment" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_WeightedAverageExercisePriceOfShareOptionsExercisedInSharebasedPaymentArrangement2019_019fae60-c1ca-71ae-8e96-7d53c1a96c96_terseLabel_en-US" xlink:label="lab_ifrs-full_WeightedAverageExercisePriceOfShareOptionsExercisedInSharebasedPaymentArrangement2019" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Exercised (in dollars per share)</link:label>
    <link:label id="lab_ifrs-full_WeightedAverageExercisePriceOfShareOptionsExercisedInSharebasedPaymentArrangement2019_label_en-US" xlink:label="lab_ifrs-full_WeightedAverageExercisePriceOfShareOptionsExercisedInSharebasedPaymentArrangement2019" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Weighted average exercise price of share options exercised in share-based payment arrangement</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_WeightedAverageExercisePriceOfShareOptionsExercisedInSharebasedPaymentArrangement2019" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_WeightedAverageExercisePriceOfShareOptionsExercisedInSharebasedPaymentArrangement2019"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_WeightedAverageExercisePriceOfShareOptionsExercisedInSharebasedPaymentArrangement2019" xlink:to="lab_ifrs-full_WeightedAverageExercisePriceOfShareOptionsExercisedInSharebasedPaymentArrangement2019" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DescriptionOfExpectedVolatilityShareOptionsGranted_019fae60-c253-7152-8c6a-83d93bd85c83_terseLabel_en-US" xlink:label="lab_ifrs-full_DescriptionOfExpectedVolatilityShareOptionsGranted" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Expected volatility</link:label>
    <link:label id="lab_ifrs-full_DescriptionOfExpectedVolatilityShareOptionsGranted_label_en-US" xlink:label="lab_ifrs-full_DescriptionOfExpectedVolatilityShareOptionsGranted" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Expected volatility, share options granted</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DescriptionOfExpectedVolatilityShareOptionsGranted" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DescriptionOfExpectedVolatilityShareOptionsGranted"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DescriptionOfExpectedVolatilityShareOptionsGranted" xlink:to="lab_ifrs-full_DescriptionOfExpectedVolatilityShareOptionsGranted" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ParValuePerShare_019fae60-c1ca-7452-a48a-775e76f484b8_terseLabel_en-US" xlink:label="lab_ifrs-full_ParValuePerShare" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Par value per share (in dollars per share)</link:label>
    <link:label id="lab_ifrs-full_ParValuePerShare_label_en-US" xlink:label="lab_ifrs-full_ParValuePerShare" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Par value per share</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ParValuePerShare" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ParValuePerShare"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ParValuePerShare" xlink:to="lab_ifrs-full_ParValuePerShare" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfPropertyPlantAndEquipmentExplanatory_019fae60-c1ca-7f73-8074-876b60184299_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfPropertyPlantAndEquipmentExplanatory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Property and equipment and right-of-use assets</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfPropertyPlantAndEquipmentExplanatory_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfPropertyPlantAndEquipmentExplanatory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of property, plant and equipment [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfPropertyPlantAndEquipmentExplanatory" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfPropertyPlantAndEquipmentExplanatory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfPropertyPlantAndEquipmentExplanatory" xlink:to="lab_ifrs-full_DisclosureOfPropertyPlantAndEquipmentExplanatory" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_BHPMember_019fae60-c253-76e7-b909-1bff3deaa3d6_terseLabel_en-US" xlink:label="lab_lzm_BHPMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">BHP</link:label>
    <link:label id="lab_lzm_BHPMember_label_en-US" xlink:label="lab_lzm_BHPMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">BHP [Member]</link:label>
    <link:label id="lab_lzm_BHPMember_documentation_en-US" xlink:label="lab_lzm_BHPMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">BHP</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_BHPMember" xlink:href="lzm-20260930.xsd#lzm_BHPMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_BHPMember" xlink:to="lab_lzm_BHPMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_WeightedAverageGrantDateFairValueOtherEquityInstrumentsGranted_019fae60-c1ca-7a36-aa96-98c3a8a0b38d_terseLabel_en-US" xlink:label="lab_lzm_WeightedAverageGrantDateFairValueOtherEquityInstrumentsGranted" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Granted (in dollars per share)</link:label>
    <link:label id="lab_lzm_WeightedAverageGrantDateFairValueOtherEquityInstrumentsGranted_label_en-US" xlink:label="lab_lzm_WeightedAverageGrantDateFairValueOtherEquityInstrumentsGranted" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Weighted Average Grant Date Fair Value, Other Equity Instruments Granted</link:label>
    <link:label id="lab_lzm_WeightedAverageGrantDateFairValueOtherEquityInstrumentsGranted_documentation_en-US" xlink:label="lab_lzm_WeightedAverageGrantDateFairValueOtherEquityInstrumentsGranted" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Represent the value of granted, fair value.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_WeightedAverageGrantDateFairValueOtherEquityInstrumentsGranted" xlink:href="lzm-20260930.xsd#lzm_WeightedAverageGrantDateFairValueOtherEquityInstrumentsGranted"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_WeightedAverageGrantDateFairValueOtherEquityInstrumentsGranted" xlink:to="lab_lzm_WeightedAverageGrantDateFairValueOtherEquityInstrumentsGranted" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_OfficeAndComputerEquipmentMember_019fae60-c1ca-7c3c-a489-3cfe210f65e9_terseLabel_en-US" xlink:label="lab_lzm_OfficeAndComputerEquipmentMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Office and computer equipment</link:label>
    <link:label id="lab_lzm_OfficeAndComputerEquipmentMember_label_en-US" xlink:label="lab_lzm_OfficeAndComputerEquipmentMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Office And Computer Equipment [Member]</link:label>
    <link:label id="lab_lzm_OfficeAndComputerEquipmentMember_documentation_en-US" xlink:label="lab_lzm_OfficeAndComputerEquipmentMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Office And Computer Equipment</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_OfficeAndComputerEquipmentMember" xlink:href="lzm-20260930.xsd#lzm_OfficeAndComputerEquipmentMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_OfficeAndComputerEquipmentMember" xlink:to="lab_lzm_OfficeAndComputerEquipmentMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ExpectedDividendAsPercentageShareOptionsGranted_019fae60-c1ca-76f5-a329-891cc5e86b84_terseLabel_en-US" xlink:label="lab_ifrs-full_ExpectedDividendAsPercentageShareOptionsGranted" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Expected dividend yield</link:label>
    <link:label id="lab_ifrs-full_ExpectedDividendAsPercentageShareOptionsGranted_label_en-US" xlink:label="lab_ifrs-full_ExpectedDividendAsPercentageShareOptionsGranted" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Expected dividend as percentage, share options granted</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ExpectedDividendAsPercentageShareOptionsGranted" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ExpectedDividendAsPercentageShareOptionsGranted"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ExpectedDividendAsPercentageShareOptionsGranted" xlink:to="lab_ifrs-full_ExpectedDividendAsPercentageShareOptionsGranted" xlink:type="arc" order="1"/>
    <link:label id="lab_dei_AmendmentFlag_019fae60-c253-7a2d-b79a-1314a1c09d26_terseLabel_en-US" xlink:label="lab_dei_AmendmentFlag" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Amendment Flag</link:label>
    <link:label id="lab_dei_AmendmentFlag_label_en-US" xlink:label="lab_dei_AmendmentFlag" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Amendment Flag</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_AmendmentFlag"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_dei_AmendmentFlag" xlink:to="lab_dei_AmendmentFlag" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ComponentsOfEquityDomain_019fae60-c1ca-707a-b6a1-754a26c71f56_terseLabel_en-US" xlink:label="lab_ifrs-full_ComponentsOfEquityDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Components of equity [domain]</link:label>
    <link:label id="lab_ifrs-full_ComponentsOfEquityDomain_label_en-US" xlink:label="lab_ifrs-full_ComponentsOfEquityDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Components of equity [domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ComponentsOfEquityDomain" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ComponentsOfEquityDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ComponentsOfEquityDomain" xlink:to="lab_ifrs-full_ComponentsOfEquityDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_AdditionsLeaseLiability_019fae60-c1ca-7051-ade5-3a4307518cf3_terseLabel_en-US" xlink:label="lab_lzm_AdditionsLeaseLiability" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Additions</link:label>
    <link:label id="lab_lzm_AdditionsLeaseLiability_label_en-US" xlink:label="lab_lzm_AdditionsLeaseLiability" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Additions Lease Liability</link:label>
    <link:label id="lab_lzm_AdditionsLeaseLiability_documentation_en-US" xlink:label="lab_lzm_AdditionsLeaseLiability" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Represent the amount of additions.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_AdditionsLeaseLiability" xlink:href="lzm-20260930.xsd#lzm_AdditionsLeaseLiability"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_AdditionsLeaseLiability" xlink:to="lab_lzm_AdditionsLeaseLiability" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfOperatingSegmentsLineItems_019fae60-c1ca-726a-a1e4-09d4532aac26_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfOperatingSegmentsLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Disclosure of operating segments [line items]</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfOperatingSegmentsLineItems_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfOperatingSegmentsLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of operating segments [line items]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfOperatingSegmentsLineItems" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfOperatingSegmentsLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfOperatingSegmentsLineItems" xlink:to="lab_ifrs-full_DisclosureOfOperatingSegmentsLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_DeferredTaxLiabilityROUAssetsLiabilities_019fae60-c253-7f40-a9c9-6ef6013426bd_negatedTerseLabel_en-US" xlink:label="lab_lzm_DeferredTaxLiabilityROUAssetsLiabilities" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Lease liabilities</link:label>
    <link:label id="lab_lzm_DeferredTaxLiabilityROUAssetsLiabilities_label_en-US" xlink:label="lab_lzm_DeferredTaxLiabilityROUAssetsLiabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Deferred Tax Liability, ROU Assets (Liabilities)</link:label>
    <link:label id="lab_lzm_DeferredTaxLiabilityROUAssetsLiabilities_documentation_en-US" xlink:label="lab_lzm_DeferredTaxLiabilityROUAssetsLiabilities" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Deferred Tax Liability, ROU Assets (Liabilities)</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_DeferredTaxLiabilityROUAssetsLiabilities" xlink:href="lzm-20260930.xsd#lzm_DeferredTaxLiabilityROUAssetsLiabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_DeferredTaxLiabilityROUAssetsLiabilities" xlink:to="lab_lzm_DeferredTaxLiabilityROUAssetsLiabilities" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_ScheduleOfFairValueOfRestrictedStockUnitsTableTextBlock_019fae60-c253-754d-8d4f-d880b70195de_terseLabel_en-US" xlink:label="lab_lzm_ScheduleOfFairValueOfRestrictedStockUnitsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Fair Value of Restricted Stock Units</link:label>
    <link:label id="lab_lzm_ScheduleOfFairValueOfRestrictedStockUnitsTableTextBlock_label_en-US" xlink:label="lab_lzm_ScheduleOfFairValueOfRestrictedStockUnitsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Schedule Of Fair Value Of Restricted Stock Units [Table Text Block]</link:label>
    <link:label id="lab_lzm_ScheduleOfFairValueOfRestrictedStockUnitsTableTextBlock_documentation_en-US" xlink:label="lab_lzm_ScheduleOfFairValueOfRestrictedStockUnitsTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Disclosure of fair value of restricted stock units.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_ScheduleOfFairValueOfRestrictedStockUnitsTableTextBlock" xlink:href="lzm-20260930.xsd#lzm_ScheduleOfFairValueOfRestrictedStockUnitsTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_ScheduleOfFairValueOfRestrictedStockUnitsTableTextBlock" xlink:to="lab_lzm_ScheduleOfFairValueOfRestrictedStockUnitsTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_RangeDomain_019fae60-c1ca-733b-b244-3a86256cd174_terseLabel_en-US" xlink:label="lab_ifrs-full_RangeDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Range [domain]</link:label>
    <link:label id="lab_ifrs-full_RangeDomain_label_en-US" xlink:label="lab_ifrs-full_RangeDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Range [domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_RangeDomain" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_RangeDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_RangeDomain" xlink:to="lab_ifrs-full_RangeDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_KabangaNickelLimitedMember_019fae60-c1ca-731f-b19c-884a26056dc5_terseLabel_en-US" xlink:label="lab_lzm_KabangaNickelLimitedMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Kabanga Nickel Limited</link:label>
    <link:label id="lab_lzm_KabangaNickelLimitedMember_label_en-US" xlink:label="lab_lzm_KabangaNickelLimitedMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Kabanga Nickel Limited [Member]</link:label>
    <link:label id="lab_lzm_KabangaNickelLimitedMember_documentation_en-US" xlink:label="lab_lzm_KabangaNickelLimitedMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Kabanga Nickel Limited</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_KabangaNickelLimitedMember" xlink:href="lzm-20260930.xsd#lzm_KabangaNickelLimitedMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_KabangaNickelLimitedMember" xlink:to="lab_lzm_KabangaNickelLimitedMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ClassesOfContingentLiabilitiesAxis_019fae60-c1ca-7dab-9ab0-534129a395f9_terseLabel_en-US" xlink:label="lab_ifrs-full_ClassesOfContingentLiabilitiesAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Classes of contingent liabilities [axis]</link:label>
    <link:label id="lab_ifrs-full_ClassesOfContingentLiabilitiesAxis_label_en-US" xlink:label="lab_ifrs-full_ClassesOfContingentLiabilitiesAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Classes of contingent liabilities [axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ClassesOfContingentLiabilitiesAxis" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ClassesOfContingentLiabilitiesAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ClassesOfContingentLiabilitiesAxis" xlink:to="lab_ifrs-full_ClassesOfContingentLiabilitiesAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_RevenueFromInterest_019fae60-c1ca-7ee6-92f9-e18786c77e39_terseLabel_en-US" xlink:label="lab_ifrs-full_RevenueFromInterest" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Interest income</link:label>
    <link:label id="lab_ifrs-full_RevenueFromInterest_019fae60-c1ca-7474-ac19-d7f2736c74ae_totalLabel_en-US" xlink:label="lab_ifrs-full_RevenueFromInterest" xlink:role="http://www.xbrl.org/2003/role/totalLabel" xlink:type="resource" xml:lang="en-US">Total interest income</link:label>
    <link:label id="lab_ifrs-full_RevenueFromInterest_label_en-US" xlink:label="lab_ifrs-full_RevenueFromInterest" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest income</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_RevenueFromInterest" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_RevenueFromInterest"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_RevenueFromInterest" xlink:to="lab_ifrs-full_RevenueFromInterest" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_AdjustmentsForIncreaseDecreaseInTradeAndOtherPayables_019fae60-c1ca-77c6-ae13-44f2c7bdbf03_terseLabel_en-US" xlink:label="lab_ifrs-full_AdjustmentsForIncreaseDecreaseInTradeAndOtherPayables" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Changes in trade and other payables</link:label>
    <link:label id="lab_ifrs-full_AdjustmentsForIncreaseDecreaseInTradeAndOtherPayables_label_en-US" xlink:label="lab_ifrs-full_AdjustmentsForIncreaseDecreaseInTradeAndOtherPayables" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Adjustments for increase (decrease) in trade and other payables</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_AdjustmentsForIncreaseDecreaseInTradeAndOtherPayables" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_AdjustmentsForIncreaseDecreaseInTradeAndOtherPayables"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_AdjustmentsForIncreaseDecreaseInTradeAndOtherPayables" xlink:to="lab_ifrs-full_AdjustmentsForIncreaseDecreaseInTradeAndOtherPayables" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_Deposits_019fae60-c1ca-7f5f-814a-eaeadbeba407_verboseLabel_en-US" xlink:label="lab_lzm_Deposits" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Deposits</link:label>
    <link:label id="lab_lzm_Deposits_019fae60-c1ca-7b17-96e8-4ff2957e3a8d_terseLabel_en-US" xlink:label="lab_lzm_Deposits" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Deposits</link:label>
    <link:label id="lab_lzm_Deposits_label_en-US" xlink:label="lab_lzm_Deposits" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Deposits</link:label>
    <link:label id="lab_lzm_Deposits_documentation_en-US" xlink:label="lab_lzm_Deposits" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Deposits</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_Deposits" xlink:href="lzm-20260930.xsd#lzm_Deposits"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_Deposits" xlink:to="lab_lzm_Deposits" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_WeightedAverageRate_019fae60-c1ca-7a1f-94b4-b7176c032f1f_terseLabel_en-US" xlink:label="lab_lzm_WeightedAverageRate" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Weighted average rate</link:label>
    <link:label id="lab_lzm_WeightedAverageRate_label_en-US" xlink:label="lab_lzm_WeightedAverageRate" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Weighted Average Rate</link:label>
    <link:label id="lab_lzm_WeightedAverageRate_documentation_en-US" xlink:label="lab_lzm_WeightedAverageRate" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Weighted average rate.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_WeightedAverageRate" xlink:href="lzm-20260930.xsd#lzm_WeightedAverageRate"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_WeightedAverageRate" xlink:to="lab_lzm_WeightedAverageRate" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_MetalsExtractionsMember_019fae60-c1ca-75cd-8560-35b98e7bc128_terseLabel_en-US" xlink:label="lab_lzm_MetalsExtractionsMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Metals Extraction</link:label>
    <link:label id="lab_lzm_MetalsExtractionsMember_label_en-US" xlink:label="lab_lzm_MetalsExtractionsMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Metals Extractions [Member]</link:label>
    <link:label id="lab_lzm_MetalsExtractionsMember_documentation_en-US" xlink:label="lab_lzm_MetalsExtractionsMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Metals Extractions</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_MetalsExtractionsMember" xlink:href="lzm-20260930.xsd#lzm_MetalsExtractionsMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_MetalsExtractionsMember" xlink:to="lab_lzm_MetalsExtractionsMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ExpenseFromSharebasedPaymentTransactionsInWhichGoodsOrServicesReceivedDidNotQualifyForRecognitionAsAssets_019fae60-c253-755d-b763-3525c7ba57f3_terseLabel_en-US" xlink:label="lab_ifrs-full_ExpenseFromSharebasedPaymentTransactionsInWhichGoodsOrServicesReceivedDidNotQualifyForRecognitionAsAssets" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Expense from share-based payment transactions</link:label>
    <link:label id="lab_ifrs-full_ExpenseFromSharebasedPaymentTransactionsInWhichGoodsOrServicesReceivedDidNotQualifyForRecognitionAsAssets_label_en-US" xlink:label="lab_ifrs-full_ExpenseFromSharebasedPaymentTransactionsInWhichGoodsOrServicesReceivedDidNotQualifyForRecognitionAsAssets" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Expense from share-based payment transactions</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ExpenseFromSharebasedPaymentTransactionsInWhichGoodsOrServicesReceivedDidNotQualifyForRecognitionAsAssets" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ExpenseFromSharebasedPaymentTransactionsInWhichGoodsOrServicesReceivedDidNotQualifyForRecognitionAsAssets"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ExpenseFromSharebasedPaymentTransactionsInWhichGoodsOrServicesReceivedDidNotQualifyForRecognitionAsAssets" xlink:to="lab_ifrs-full_ExpenseFromSharebasedPaymentTransactionsInWhichGoodsOrServicesReceivedDidNotQualifyForRecognitionAsAssets" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_IncreaseDecreaseThroughExerciseOfWarrantsEquity_019fae60-c253-7aa5-9d46-515836f410f2_terseLabel_en-US" xlink:label="lab_ifrs-full_IncreaseDecreaseThroughExerciseOfWarrantsEquity" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Issuance of shares on exercise of warrants</link:label>
    <link:label id="lab_ifrs-full_IncreaseDecreaseThroughExerciseOfWarrantsEquity_label_en-US" xlink:label="lab_ifrs-full_IncreaseDecreaseThroughExerciseOfWarrantsEquity" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Increase (decrease) through exercise of warrants, equity</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_IncreaseDecreaseThroughExerciseOfWarrantsEquity" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_IncreaseDecreaseThroughExerciseOfWarrantsEquity"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_IncreaseDecreaseThroughExerciseOfWarrantsEquity" xlink:to="lab_ifrs-full_IncreaseDecreaseThroughExerciseOfWarrantsEquity" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_FinancialRiskReviewDetailsScheduleOfCarryingAmountOfFinancialAssetsRepresentsTheMaximumCreditExposureLineItems_019fae60-c253-71a2-be19-7465534cdec5_terseLabel_en-US" xlink:label="lab_lzm_FinancialRiskReviewDetailsScheduleOfCarryingAmountOfFinancialAssetsRepresentsTheMaximumCreditExposureLineItems" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Financial Risk Review (Details) - Schedule of Carrying Amount of Financial Assets Represents the Maximum Credit Exposure [Line Items]</link:label>
    <link:label id="lab_lzm_FinancialRiskReviewDetailsScheduleOfCarryingAmountOfFinancialAssetsRepresentsTheMaximumCreditExposureLineItems_label_en-US" xlink:label="lab_lzm_FinancialRiskReviewDetailsScheduleOfCarryingAmountOfFinancialAssetsRepresentsTheMaximumCreditExposureLineItems" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Financial Risk Review (Details) - Schedule of Carrying Amount of Financial Assets Represents the Maximum Credit Exposure [Line Items]</link:label>
    <link:label id="lab_lzm_FinancialRiskReviewDetailsScheduleOfCarryingAmountOfFinancialAssetsRepresentsTheMaximumCreditExposureLineItems_documentation_en-US" xlink:label="lab_lzm_FinancialRiskReviewDetailsScheduleOfCarryingAmountOfFinancialAssetsRepresentsTheMaximumCreditExposureLineItems" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Financial Risk Review (Details) - Schedule of Carrying Amount of Financial Assets Represents the Maximum Credit Exposure</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_FinancialRiskReviewDetailsScheduleOfCarryingAmountOfFinancialAssetsRepresentsTheMaximumCreditExposureLineItems" xlink:href="lzm-20260930.xsd#lzm_FinancialRiskReviewDetailsScheduleOfCarryingAmountOfFinancialAssetsRepresentsTheMaximumCreditExposureLineItems"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_FinancialRiskReviewDetailsScheduleOfCarryingAmountOfFinancialAssetsRepresentsTheMaximumCreditExposureLineItems" xlink:to="lab_lzm_FinancialRiskReviewDetailsScheduleOfCarryingAmountOfFinancialAssetsRepresentsTheMaximumCreditExposureLineItems" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_NumberOfSharesIssueOfSharesToDebentureHolders_019fae60-c133-79c9-9bf9-bb4eb4f2746f_terseLabel_en-US" xlink:label="lab_lzm_NumberOfSharesIssueOfSharesToDebentureHolders" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Issue of shares to debenture holders (in shares)</link:label>
    <link:label id="lab_lzm_NumberOfSharesIssueOfSharesToDebentureHolders_label_en-US" xlink:label="lab_lzm_NumberOfSharesIssueOfSharesToDebentureHolders" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number Of Shares Issue Of Shares To Debenture Holders</link:label>
    <link:label id="lab_lzm_NumberOfSharesIssueOfSharesToDebentureHolders_documentation_en-US" xlink:label="lab_lzm_NumberOfSharesIssueOfSharesToDebentureHolders" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Represent the share value of issue of lifezone holdings limited shares.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_NumberOfSharesIssueOfSharesToDebentureHolders" xlink:href="lzm-20260930.xsd#lzm_NumberOfSharesIssueOfSharesToDebentureHolders"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_NumberOfSharesIssueOfSharesToDebentureHolders" xlink:to="lab_lzm_NumberOfSharesIssueOfSharesToDebentureHolders" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_TaxPaidOnBehalfOfGranteeOnVestingOfRSUs_019fae60-c1ca-7e28-a754-deea2196d301_negatedTerseLabel_en-US" xlink:label="lab_lzm_TaxPaidOnBehalfOfGranteeOnVestingOfRSUs" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel" xlink:type="resource" xml:lang="en-US">Tax paid on behalf of grantee on vesting of RSUs</link:label>
    <link:label id="lab_lzm_TaxPaidOnBehalfOfGranteeOnVestingOfRSUs_label_en-US" xlink:label="lab_lzm_TaxPaidOnBehalfOfGranteeOnVestingOfRSUs" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Tax Paid On Behalf Of Grantee On Vesting Of RSUs</link:label>
    <link:label id="lab_lzm_TaxPaidOnBehalfOfGranteeOnVestingOfRSUs_documentation_en-US" xlink:label="lab_lzm_TaxPaidOnBehalfOfGranteeOnVestingOfRSUs" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Tax Paid On Behalf Of Grantee On Vesting Of RSUs</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_TaxPaidOnBehalfOfGranteeOnVestingOfRSUs" xlink:href="lzm-20260930.xsd#lzm_TaxPaidOnBehalfOfGranteeOnVestingOfRSUs"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_TaxPaidOnBehalfOfGranteeOnVestingOfRSUs" xlink:to="lab_lzm_TaxPaidOnBehalfOfGranteeOnVestingOfRSUs" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_CarryingAmountOfFreelyTradeableCurrency_019fae60-c253-7d15-b434-f352c4a55e89_terseLabel_en-US" xlink:label="lab_lzm_CarryingAmountOfFreelyTradeableCurrency" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Carrying amount of freely tradeable currency</link:label>
    <link:label id="lab_lzm_CarryingAmountOfFreelyTradeableCurrency_label_en-US" xlink:label="lab_lzm_CarryingAmountOfFreelyTradeableCurrency" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Carrying amount of freely tradeable currency</link:label>
    <link:label id="lab_lzm_CarryingAmountOfFreelyTradeableCurrency_documentation_en-US" xlink:label="lab_lzm_CarryingAmountOfFreelyTradeableCurrency" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Carrying amount of freely tradeable currency</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_CarryingAmountOfFreelyTradeableCurrency" xlink:href="lzm-20260930.xsd#lzm_CarryingAmountOfFreelyTradeableCurrency"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_CarryingAmountOfFreelyTradeableCurrency" xlink:to="lab_lzm_CarryingAmountOfFreelyTradeableCurrency" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_AdditionalProvisionsOtherProvisions_019fae60-c253-7932-9044-7dd870b8f639_terseLabel_en-US" xlink:label="lab_ifrs-full_AdditionalProvisionsOtherProvisions" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Additions</link:label>
    <link:label id="lab_ifrs-full_AdditionalProvisionsOtherProvisions_label_en-US" xlink:label="lab_ifrs-full_AdditionalProvisionsOtherProvisions" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Additional provisions, other provisions</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_AdditionalProvisionsOtherProvisions" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_AdditionalProvisionsOtherProvisions"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_AdditionalProvisionsOtherProvisions" xlink:to="lab_ifrs-full_AdditionalProvisionsOtherProvisions" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_WarrantsIssuedShares_019fae60-c253-7ef6-8b50-dcbf02f31c56_terseLabel_en-US" xlink:label="lab_lzm_WarrantsIssuedShares" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Warrants issued (in shares)</link:label>
    <link:label id="lab_lzm_WarrantsIssuedShares_label_en-US" xlink:label="lab_lzm_WarrantsIssuedShares" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Warrants Issued, Shares</link:label>
    <link:label id="lab_lzm_WarrantsIssuedShares_documentation_en-US" xlink:label="lab_lzm_WarrantsIssuedShares" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Warrants Issued, Shares</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_WarrantsIssuedShares" xlink:href="lzm-20260930.xsd#lzm_WarrantsIssuedShares"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_WarrantsIssuedShares" xlink:to="lab_lzm_WarrantsIssuedShares" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_DisclosureOfUndiscountedLeasePaymentTableTextBlock_019fae60-c1ca-7a94-bfe5-474746bce384_terseLabel_en-US" xlink:label="lab_lzm_DisclosureOfUndiscountedLeasePaymentTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Undiscounted Lease Payment</link:label>
    <link:label id="lab_lzm_DisclosureOfUndiscountedLeasePaymentTableTextBlock_label_en-US" xlink:label="lab_lzm_DisclosureOfUndiscountedLeasePaymentTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure Of Undiscounted Lease Payment [Table Text Block]</link:label>
    <link:label id="lab_lzm_DisclosureOfUndiscountedLeasePaymentTableTextBlock_documentation_en-US" xlink:label="lab_lzm_DisclosureOfUndiscountedLeasePaymentTableTextBlock" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Tabular Disclosure of undiscounted lease payment.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_DisclosureOfUndiscountedLeasePaymentTableTextBlock" xlink:href="lzm-20260930.xsd#lzm_DisclosureOfUndiscountedLeasePaymentTableTextBlock"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_DisclosureOfUndiscountedLeasePaymentTableTextBlock" xlink:to="lab_lzm_DisclosureOfUndiscountedLeasePaymentTableTextBlock" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_CurrentLeaseLiabilities_019fae60-c133-7d84-aba3-f23c5f1f1474_terseLabel_en-US" xlink:label="lab_ifrs-full_CurrentLeaseLiabilities" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Lease liabilities</link:label>
    <link:label id="lab_ifrs-full_CurrentLeaseLiabilities_019fae60-c133-7948-abbd-bfbcb62bdd05_verboseLabel_en-US" xlink:label="lab_ifrs-full_CurrentLeaseLiabilities" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Current</link:label>
    <link:label id="lab_ifrs-full_CurrentLeaseLiabilities_label_en-US" xlink:label="lab_ifrs-full_CurrentLeaseLiabilities" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Current lease liabilities</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_CurrentLeaseLiabilities" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_CurrentLeaseLiabilities"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_CurrentLeaseLiabilities" xlink:to="lab_ifrs-full_CurrentLeaseLiabilities" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_PurchasePricePerShareAfterDeductingUnderwritingFeesAndCommissions_019fae60-c253-77ab-b87b-1983228e66ab_terseLabel_en-US" xlink:label="lab_lzm_PurchasePricePerShareAfterDeductingUnderwritingFeesAndCommissions" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Purchase price after deducting underwriting fees and commissions (in dollars per share)</link:label>
    <link:label id="lab_lzm_PurchasePricePerShareAfterDeductingUnderwritingFeesAndCommissions_label_en-US" xlink:label="lab_lzm_PurchasePricePerShareAfterDeductingUnderwritingFeesAndCommissions" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Purchase Price Per Share After Deducting Underwriting Fees And Commissions</link:label>
    <link:label id="lab_lzm_PurchasePricePerShareAfterDeductingUnderwritingFeesAndCommissions_documentation_en-US" xlink:label="lab_lzm_PurchasePricePerShareAfterDeductingUnderwritingFeesAndCommissions" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Purchase Price Per Share After Deducting Underwriting Fees And Commissions</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_PurchasePricePerShareAfterDeductingUnderwritingFeesAndCommissions" xlink:href="lzm-20260930.xsd#lzm_PurchasePricePerShareAfterDeductingUnderwritingFeesAndCommissions"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_PurchasePricePerShareAfterDeductingUnderwritingFeesAndCommissions" xlink:to="lab_lzm_PurchasePricePerShareAfterDeductingUnderwritingFeesAndCommissions" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_InterestRateRiskChangesInInterestExpenseResultingFromChangesInAssumptions_019fae60-c1ca-70e4-8909-931e7a997b4c_terseLabel_en-US" xlink:label="lab_lzm_InterestRateRiskChangesInInterestExpenseResultingFromChangesInAssumptions" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Increase (decrease) in Interest expense</link:label>
    <link:label id="lab_lzm_InterestRateRiskChangesInInterestExpenseResultingFromChangesInAssumptions_label_en-US" xlink:label="lab_lzm_InterestRateRiskChangesInInterestExpenseResultingFromChangesInAssumptions" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Interest Rate Risk, Changes In Interest Expense Resulting From Changes In Assumptions</link:label>
    <link:label id="lab_lzm_InterestRateRiskChangesInInterestExpenseResultingFromChangesInAssumptions_documentation_en-US" xlink:label="lab_lzm_InterestRateRiskChangesInInterestExpenseResultingFromChangesInAssumptions" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Interest Rate Risk, Changes In Interest Expense Resulting From Changes In Assumptions</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_InterestRateRiskChangesInInterestExpenseResultingFromChangesInAssumptions" xlink:href="lzm-20260930.xsd#lzm_InterestRateRiskChangesInInterestExpenseResultingFromChangesInAssumptions"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_InterestRateRiskChangesInInterestExpenseResultingFromChangesInAssumptions" xlink:to="lab_lzm_InterestRateRiskChangesInInterestExpenseResultingFromChangesInAssumptions" xlink:type="arc" order="1"/>
    <link:label id="lab_srt_CurrencyAxis_019fae60-c133-7386-aedf-043a985ee90e_terseLabel_en-US" xlink:label="lab_srt_CurrencyAxis" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Currency [Axis]</link:label>
    <link:label id="lab_srt_CurrencyAxis_label_en-US" xlink:label="lab_srt_CurrencyAxis" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Currency [Axis]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_srt_CurrencyAxis" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_CurrencyAxis"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_srt_CurrencyAxis" xlink:to="lab_srt_CurrencyAxis" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfFinanceIncomeExplanatory_019fae60-c133-7369-89b3-69911d18211d_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfFinanceIncomeExplanatory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Taxation</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfFinanceIncomeExplanatory_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfFinanceIncomeExplanatory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of finance income [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfFinanceIncomeExplanatory" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfFinanceIncomeExplanatory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfFinanceIncomeExplanatory" xlink:to="lab_ifrs-full_DisclosureOfFinanceIncomeExplanatory" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DilutedEarningsLossPerShare_019fae60-c253-7d13-8436-4f0c47946185_verboseLabel_en-US" xlink:label="lab_ifrs-full_DilutedEarningsLossPerShare" xlink:role="http://www.xbrl.org/2003/role/verboseLabel" xlink:type="resource" xml:lang="en-US">Diluted (in dollars per share)</link:label>
    <link:label id="lab_ifrs-full_DilutedEarningsLossPerShare_label_en-US" xlink:label="lab_ifrs-full_DilutedEarningsLossPerShare" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Diluted earnings (loss) per share</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DilutedEarningsLossPerShare" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DilutedEarningsLossPerShare"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DilutedEarningsLossPerShare" xlink:to="lab_ifrs-full_DilutedEarningsLossPerShare" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_MaturityDomain_019fae60-c133-7296-98eb-7a65ac07b7f9_terseLabel_en-US" xlink:label="lab_ifrs-full_MaturityDomain" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Maturity [domain]</link:label>
    <link:label id="lab_ifrs-full_MaturityDomain_label_en-US" xlink:label="lab_ifrs-full_MaturityDomain" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Maturity [domain]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_MaturityDomain" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_MaturityDomain"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_MaturityDomain" xlink:to="lab_ifrs-full_MaturityDomain" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_MaximumAmountOfPaymentForContingentConsiderationArrangementsResettlementActionPlanTriggeringEvent_019fae60-c1ca-7b82-b735-dd98f4d761fc_terseLabel_en-US" xlink:label="lab_lzm_MaximumAmountOfPaymentForContingentConsiderationArrangementsResettlementActionPlanTriggeringEvent" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Maximum payment amount, resettlement action plan triggering event</link:label>
    <link:label id="lab_lzm_MaximumAmountOfPaymentForContingentConsiderationArrangementsResettlementActionPlanTriggeringEvent_label_en-US" xlink:label="lab_lzm_MaximumAmountOfPaymentForContingentConsiderationArrangementsResettlementActionPlanTriggeringEvent" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Maximum Amount Of Payment For Contingent Consideration Arrangements, Resettlement Action Plan Triggering Event</link:label>
    <link:label id="lab_lzm_MaximumAmountOfPaymentForContingentConsiderationArrangementsResettlementActionPlanTriggeringEvent_documentation_en-US" xlink:label="lab_lzm_MaximumAmountOfPaymentForContingentConsiderationArrangementsResettlementActionPlanTriggeringEvent" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Maximum Amount Of Payment For Contingent Consideration Arrangements, Resettlement Action Plan Triggering Event</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_MaximumAmountOfPaymentForContingentConsiderationArrangementsResettlementActionPlanTriggeringEvent" xlink:href="lzm-20260930.xsd#lzm_MaximumAmountOfPaymentForContingentConsiderationArrangementsResettlementActionPlanTriggeringEvent"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_MaximumAmountOfPaymentForContingentConsiderationArrangementsResettlementActionPlanTriggeringEvent" xlink:to="lab_lzm_MaximumAmountOfPaymentForContingentConsiderationArrangementsResettlementActionPlanTriggeringEvent" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_TransactionsWithEquityShareHoldersShares_019fae60-c253-74c3-97f6-3bd11fb31abe_terseLabel_en-US" xlink:label="lab_lzm_TransactionsWithEquityShareHoldersShares" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Transactions With Equity ShareHolders (in shares)</link:label>
    <link:label id="lab_lzm_TransactionsWithEquityShareHoldersShares_label_en-US" xlink:label="lab_lzm_TransactionsWithEquityShareHoldersShares" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Transactions With Equity ShareHolders, Shares</link:label>
    <link:label id="lab_lzm_TransactionsWithEquityShareHoldersShares_documentation_en-US" xlink:label="lab_lzm_TransactionsWithEquityShareHoldersShares" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Transactions With Equity ShareHolders, Shares</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_TransactionsWithEquityShareHoldersShares" xlink:href="lzm-20260930.xsd#lzm_TransactionsWithEquityShareHoldersShares"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_TransactionsWithEquityShareHoldersShares" xlink:to="lab_lzm_TransactionsWithEquityShareHoldersShares" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_FinancialRiskReviewDetailsScheduleOfLiquidityRiskTable_019fae60-c253-7f17-9cb3-763f81825d60_terseLabel_en-US" xlink:label="lab_lzm_FinancialRiskReviewDetailsScheduleOfLiquidityRiskTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Financial Risk Review (Details) - Schedule of Liquidity Risk [Table]</link:label>
    <link:label id="lab_lzm_FinancialRiskReviewDetailsScheduleOfLiquidityRiskTable_label_en-US" xlink:label="lab_lzm_FinancialRiskReviewDetailsScheduleOfLiquidityRiskTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Financial Risk Review (Details) - Schedule of Liquidity Risk [Table]</link:label>
    <link:label id="lab_lzm_FinancialRiskReviewDetailsScheduleOfLiquidityRiskTable_documentation_en-US" xlink:label="lab_lzm_FinancialRiskReviewDetailsScheduleOfLiquidityRiskTable" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Financial Risk Review (Details) - Schedule of Liquidity Risk</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_FinancialRiskReviewDetailsScheduleOfLiquidityRiskTable" xlink:href="lzm-20260930.xsd#lzm_FinancialRiskReviewDetailsScheduleOfLiquidityRiskTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_FinancialRiskReviewDetailsScheduleOfLiquidityRiskTable" xlink:to="lab_lzm_FinancialRiskReviewDetailsScheduleOfLiquidityRiskTable" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfTermsAndConditionsOfSharebasedPaymentArrangementTable_019fae60-c133-7c9c-8667-7773c20818c8_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfTermsAndConditionsOfSharebasedPaymentArrangementTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Disclosure of terms and conditions of share-based payment arrangement [table]</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfTermsAndConditionsOfSharebasedPaymentArrangementTable_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfTermsAndConditionsOfSharebasedPaymentArrangementTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of terms and conditions of share-based payment arrangement [table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfTermsAndConditionsOfSharebasedPaymentArrangementTable" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfTermsAndConditionsOfSharebasedPaymentArrangementTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfTermsAndConditionsOfSharebasedPaymentArrangementTable" xlink:to="lab_ifrs-full_DisclosureOfTermsAndConditionsOfSharebasedPaymentArrangementTable" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfExplorationAndEvaluationAssetsExplanatory_019fae60-c1ca-74d4-a758-4e5701b09cde_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfExplorationAndEvaluationAssetsExplanatory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Exploration and evaluation assets and mining data</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfExplorationAndEvaluationAssetsExplanatory_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfExplorationAndEvaluationAssetsExplanatory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of exploration and evaluation assets [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfExplorationAndEvaluationAssetsExplanatory" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfExplorationAndEvaluationAssetsExplanatory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfExplorationAndEvaluationAssetsExplanatory" xlink:to="lab_ifrs-full_DisclosureOfExplorationAndEvaluationAssetsExplanatory" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_StrikePriceMember_019fae60-c253-787b-8d8d-a36093857145_terseLabel_en-US" xlink:label="lab_lzm_StrikePriceMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Strike Price</link:label>
    <link:label id="lab_lzm_StrikePriceMember_label_en-US" xlink:label="lab_lzm_StrikePriceMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Strike Price [Member]</link:label>
    <link:label id="lab_lzm_StrikePriceMember_documentation_en-US" xlink:label="lab_lzm_StrikePriceMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Strike Price</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_StrikePriceMember" xlink:href="lzm-20260930.xsd#lzm_StrikePriceMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_StrikePriceMember" xlink:to="lab_lzm_StrikePriceMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_BenedictBusunzuMember_019fae60-c133-7a84-a805-30b6e801203a_terseLabel_en-US" xlink:label="lab_lzm_BenedictBusunzuMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Benedict Busunzu</link:label>
    <link:label id="lab_lzm_BenedictBusunzuMember_label_en-US" xlink:label="lab_lzm_BenedictBusunzuMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Benedict Busunzu [Member]</link:label>
    <link:label id="lab_lzm_BenedictBusunzuMember_documentation_en-US" xlink:label="lab_lzm_BenedictBusunzuMember" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Benedict Busunzu</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_BenedictBusunzuMember" xlink:href="lzm-20260930.xsd#lzm_BenedictBusunzuMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_BenedictBusunzuMember" xlink:to="lab_lzm_BenedictBusunzuMember" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_EarningsPerShareExplanatory_019fae60-c1ca-7c6f-a4bc-2e4245263d86_terseLabel_en-US" xlink:label="lab_ifrs-full_EarningsPerShareExplanatory" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Schedule of Numerator and Denominator in the Computation of Basic and Diluted Loss Per Share</link:label>
    <link:label id="lab_ifrs-full_EarningsPerShareExplanatory_label_en-US" xlink:label="lab_ifrs-full_EarningsPerShareExplanatory" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Earnings per share [text block]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_EarningsPerShareExplanatory" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_EarningsPerShareExplanatory"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_EarningsPerShareExplanatory" xlink:to="lab_ifrs-full_EarningsPerShareExplanatory" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_GrossRevenues_019fae60-c1ca-776e-813b-1a33822ef206_terseLabel_en-US" xlink:label="lab_lzm_GrossRevenues" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Gross revenues</link:label>
    <link:label id="lab_lzm_GrossRevenues_label_en-US" xlink:label="lab_lzm_GrossRevenues" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Gross Revenues</link:label>
    <link:label id="lab_lzm_GrossRevenues_documentation_en-US" xlink:label="lab_lzm_GrossRevenues" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Gross revenues.</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_GrossRevenues" xlink:href="lzm-20260930.xsd#lzm_GrossRevenues"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_GrossRevenues" xlink:to="lab_lzm_GrossRevenues" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_NumberOfSharesRightToPurchase_019fae60-c1ca-75aa-a432-86a778848e95_terseLabel_en-US" xlink:label="lab_lzm_NumberOfSharesRightToPurchase" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Number of shares, right to purchase (in shares)</link:label>
    <link:label id="lab_lzm_NumberOfSharesRightToPurchase_label_en-US" xlink:label="lab_lzm_NumberOfSharesRightToPurchase" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Number Of Shares, Right To Purchase</link:label>
    <link:label id="lab_lzm_NumberOfSharesRightToPurchase_documentation_en-US" xlink:label="lab_lzm_NumberOfSharesRightToPurchase" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Number Of Shares, Right To Purchase</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_NumberOfSharesRightToPurchase" xlink:href="lzm-20260930.xsd#lzm_NumberOfSharesRightToPurchase"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_NumberOfSharesRightToPurchase" xlink:to="lab_lzm_NumberOfSharesRightToPurchase" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_DisclosureOfPropertyPlantAndEquipmentTable_019fae60-c253-7f0c-976b-238e42de8ea1_terseLabel_en-US" xlink:label="lab_ifrs-full_DisclosureOfPropertyPlantAndEquipmentTable" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Disclosure of detailed information about property, plant and equipment [table]</link:label>
    <link:label id="lab_ifrs-full_DisclosureOfPropertyPlantAndEquipmentTable_label_en-US" xlink:label="lab_ifrs-full_DisclosureOfPropertyPlantAndEquipmentTable" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Disclosure of detailed information about property, plant and equipment [table]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_DisclosureOfPropertyPlantAndEquipmentTable" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_DisclosureOfPropertyPlantAndEquipmentTable"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_DisclosureOfPropertyPlantAndEquipmentTable" xlink:to="lab_ifrs-full_DisclosureOfPropertyPlantAndEquipmentTable" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_GeneralAndAdministrativeExpenseGross_019fae60-c1ca-7115-b0b6-84c1d5a5adbb_terseLabel_en-US" xlink:label="lab_lzm_GeneralAndAdministrativeExpenseGross" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">General and administrative expenses, gross</link:label>
    <link:label id="lab_lzm_GeneralAndAdministrativeExpenseGross_label_en-US" xlink:label="lab_lzm_GeneralAndAdministrativeExpenseGross" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">General and Administrative Expense, Gross</link:label>
    <link:label id="lab_lzm_GeneralAndAdministrativeExpenseGross_documentation_en-US" xlink:label="lab_lzm_GeneralAndAdministrativeExpenseGross" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">General and Administrative Expense, Gross</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_GeneralAndAdministrativeExpenseGross" xlink:href="lzm-20260930.xsd#lzm_GeneralAndAdministrativeExpenseGross"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_GeneralAndAdministrativeExpenseGross" xlink:to="lab_lzm_GeneralAndAdministrativeExpenseGross" xlink:type="arc" order="1"/>
    <link:label id="lab_ifrs-full_ChangesInTaxRatesOrTaxLawsEnactedOrAnnouncedMember_019fae60-c253-766a-9468-b937df5c55da_terseLabel_en-US" xlink:label="lab_ifrs-full_ChangesInTaxRatesOrTaxLawsEnactedOrAnnouncedMember" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Changes in tax rates or tax laws enacted or announced</link:label>
    <link:label id="lab_ifrs-full_ChangesInTaxRatesOrTaxLawsEnactedOrAnnouncedMember_label_en-US" xlink:label="lab_ifrs-full_ChangesInTaxRatesOrTaxLawsEnactedOrAnnouncedMember" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Changes in tax rates or tax laws enacted or announced [member]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_ifrs-full_ChangesInTaxRatesOrTaxLawsEnactedOrAnnouncedMember" xlink:href="https://xbrl.ifrs.org/taxonomy/2025-03-27/full_ifrs/full_ifrs-cor_2025-03-27.xsd#ifrs-full_ChangesInTaxRatesOrTaxLawsEnactedOrAnnouncedMember"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_ifrs-full_ChangesInTaxRatesOrTaxLawsEnactedOrAnnouncedMember" xlink:to="lab_ifrs-full_ChangesInTaxRatesOrTaxLawsEnactedOrAnnouncedMember" xlink:type="arc" order="1"/>
    <link:label id="lab_lzm_FinancialRiskReviewAbstract_019fae60-c1ca-79ae-bb65-5321bfae790e_terseLabel_en-US" xlink:label="lab_lzm_FinancialRiskReviewAbstract" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xlink:type="resource" xml:lang="en-US">Financial Risk Review [Abstract]</link:label>
    <link:label id="lab_lzm_FinancialRiskReviewAbstract_label_en-US" xlink:label="lab_lzm_FinancialRiskReviewAbstract" xlink:role="http://www.xbrl.org/2003/role/label" xlink:type="resource" xml:lang="en-US">Financial Risk Review [Abstract]</link:label>
    <link:label id="lab_lzm_FinancialRiskReviewAbstract_documentation_en-US" xlink:label="lab_lzm_FinancialRiskReviewAbstract" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:type="resource" xml:lang="en-US">Financial Risk Review [Abstract]</link:label>
    <link:loc xlink:type="locator" xlink:label="loc_lzm_FinancialRiskReviewAbstract" xlink:href="lzm-20260930.xsd#lzm_FinancialRiskReviewAbstract"/>
    <link:labelArc xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="loc_lzm_FinancialRiskReviewAbstract" xlink:to="lab_lzm_FinancialRiskReviewAbstract" xlink:type="arc" order="1"/>
  </link:labelLink>
</link:linkbase>
