<?xml version='1.0' encoding='utf-8'?>
<FilingSummary>
  <Version>3.26.3</Version>
  <ProcessingTime/>
  <ReportFormat>html</ReportFormat>
  <ContextCount>240</ContextCount>
  <ElementCount>391</ElementCount>
  <EntityCount>1</EntityCount>
  <FootnotesReported>true</FootnotesReported>
  <SegmentCount>91</SegmentCount>
  <ScenarioCount>0</ScenarioCount>
  <TuplesReported>false</TuplesReported>
  <UnitCount>7</UnitCount>
  <MyReports>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R1.htm</HtmlFileName>
      <LongName>75000 - Document - Cover Page</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/CoverPage</Role>
      <ShortName>Cover Page</ShortName>
      <MenuCategory>Cover</MenuCategory>
      <Position>1</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R2.htm</HtmlFileName>
      <LongName>75010 - Statement - CONSOLIDATED BALANCE SHEETS</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/StatementConsolidatedBalanceSheets1</Role>
      <ShortName>CONSOLIDATED BALANCE SHEETS</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>2</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R3.htm</HtmlFileName>
      <LongName>75020 - Statement - CONSOLIDATED BALANCE SHEETS (Parenthetical)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/StatementConsolidatedBalanceSheetsParenthetical</Role>
      <ShortName>CONSOLIDATED BALANCE SHEETS (Parenthetical)</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>3</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R4.htm</HtmlFileName>
      <LongName>75030 - Statement - CONSOLIDATED STATEMENTS OF OPERATIONS</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/StatementConsolidatedStatementsOfOperations</Role>
      <ShortName>CONSOLIDATED STATEMENTS OF OPERATIONS</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>4</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R5.htm</HtmlFileName>
      <LongName>75040 - Statement - CONSOLIDATED STATEMENTS OF STOCKHOLDERS' EQUITY</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/StatementConsolidatedStatementsOfStockholdersEquity</Role>
      <ShortName>CONSOLIDATED STATEMENTS OF STOCKHOLDERS' EQUITY</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>5</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R6.htm</HtmlFileName>
      <LongName>75050 - Statement - CONSOLIDATED STATEMENTS OF STOCKHOLDERS' EQUITY (Parenthetical)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/StatementConsolidatedStatementsOfStockholdersEquityParenthetical</Role>
      <ShortName>CONSOLIDATED STATEMENTS OF STOCKHOLDERS' EQUITY (Parenthetical)</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>6</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R7.htm</HtmlFileName>
      <LongName>75060 - Statement - CONSOLIDATED STATEMENTS OF CASH FLOWS</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/StatementConsolidatedStatementsOfCashFlows</Role>
      <ShortName>CONSOLIDATED STATEMENTS OF CASH FLOWS</ShortName>
      <MenuCategory>Statements</MenuCategory>
      <Position>7</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R8.htm</HtmlFileName>
      <LongName>75070 - Disclosure - Cybersecurity Risk Management, Strategy and Governance</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureCybersecurityRiskManagementStrategyAndGovernance</Role>
      <ShortName>Cybersecurity Risk Management, Strategy and Governance</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>8</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R9.htm</HtmlFileName>
      <LongName>995410 - Disclosure - Pay vs Performance Disclosure</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://xbrl.sec.gov/ecd/role/PvpDisclosure</Role>
      <ShortName>Pay vs Performance Disclosure</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>9</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R10.htm</HtmlFileName>
      <LongName>995443 - Disclosure - Award Timing Disclosure</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://xbrl.sec.gov/ecd/role/AwardTimingDisclosure</Role>
      <ShortName>Award Timing Disclosure</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>10</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R11.htm</HtmlFileName>
      <LongName>995445 - Disclosure - Insider Trading Arrangements</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://xbrl.sec.gov/ecd/role/InsiderTradingArrangements</Role>
      <ShortName>Insider Trading Arrangements</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>11</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R12.htm</HtmlFileName>
      <LongName>995447 - Disclosure - Insider Trading Policies and Procedures</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://xbrl.sec.gov/ecd/role/InsiderTradingPoliciesProc</Role>
      <ShortName>Insider Trading Policies and Procedures</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>12</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R13.htm</HtmlFileName>
      <LongName>995457 - Disclosure - Description of Business and Basis of Presentation</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureDescriptionOfBusinessAndBasisOfPresentation</Role>
      <ShortName>Description of Business and Basis of Presentation</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>13</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R14.htm</HtmlFileName>
      <LongName>995467 - Disclosure - Summary of Significant Accounting Policies</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureSummaryOfSignificantAccountingPolicies</Role>
      <ShortName>Summary of Significant Accounting Policies</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>14</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R15.htm</HtmlFileName>
      <LongName>995477 - Disclosure - Balance Sheet Details</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureBalanceSheetDetails</Role>
      <ShortName>Balance Sheet Details</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>15</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R16.htm</HtmlFileName>
      <LongName>995487 - Disclosure - Digital Assets</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureDigitalAssets</Role>
      <ShortName>Digital Assets</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>16</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R17.htm</HtmlFileName>
      <LongName>995497 - Disclosure - Fair Value Measurements</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureFairValueMeasurements</Role>
      <ShortName>Fair Value Measurements</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>17</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R18.htm</HtmlFileName>
      <LongName>995507 - Disclosure - Employee Termination Benefits</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureEmployeeTerminationBenefits1</Role>
      <ShortName>Employee Termination Benefits</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>18</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R19.htm</HtmlFileName>
      <LongName>995517 - Disclosure - Master Loan Agreement</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureMasterLoanAgreement</Role>
      <ShortName>Master Loan Agreement</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>19</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R20.htm</HtmlFileName>
      <LongName>995527 - Disclosure - Derivatives</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureDerivatives</Role>
      <ShortName>Derivatives</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>20</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R21.htm</HtmlFileName>
      <LongName>995537 - Disclosure - Commitments and Contingencies</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/CommitmentsAndContingencies</Role>
      <ShortName>Commitments and Contingencies</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>21</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R22.htm</HtmlFileName>
      <LongName>995547 - Disclosure - License Agreements</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureLicenseAgreements1</Role>
      <ShortName>License Agreements</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>22</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R23.htm</HtmlFileName>
      <LongName>995557 - Disclosure - Stockholders' Equity</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/StockholdersEquity</Role>
      <ShortName>Stockholders' Equity</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>23</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R24.htm</HtmlFileName>
      <LongName>995567 - Disclosure - Warrants</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureWarrants</Role>
      <ShortName>Warrants</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>24</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R25.htm</HtmlFileName>
      <LongName>995577 - Disclosure - Share-based Compensation</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureSharebasedCompensation1</Role>
      <ShortName>Share-based Compensation</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>25</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R26.htm</HtmlFileName>
      <LongName>995587 - Disclosure - Segment Information</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureSegmentInformation</Role>
      <ShortName>Segment Information</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>26</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R27.htm</HtmlFileName>
      <LongName>995597 - Disclosure - Disposition of a Non-Financial Asset</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureDispositionOfANonfinancialAsset</Role>
      <ShortName>Disposition of a Non-Financial Asset</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>27</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R28.htm</HtmlFileName>
      <LongName>995607 - Disclosure - Income Taxes</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/IncomeTaxes</Role>
      <ShortName>Income Taxes</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>28</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R29.htm</HtmlFileName>
      <LongName>995617 - Disclosure - Related Party Transactions</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureRelatedPartyTransactions</Role>
      <ShortName>Related Party Transactions</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>29</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R30.htm</HtmlFileName>
      <LongName>995627 - Disclosure - Subsequent Events</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureSubsequentEvents</Role>
      <ShortName>Subsequent Events</ShortName>
      <MenuCategory>Notes</MenuCategory>
      <Position>30</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R31.htm</HtmlFileName>
      <LongName>995637 - Disclosure - Description of Business and Basis of Presentation (Policies)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureDescriptionOfBusinessAndBasisOfPresentationPolicies</Role>
      <ShortName>Description of Business and Basis of Presentation (Policies)</ShortName>
      <MenuCategory>Policies</MenuCategory>
      <ParentRole>http://litestrategy.com/20260630/taxonomy/role/DisclosureSummaryOfSignificantAccountingPolicies</ParentRole>
      <Position>31</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R32.htm</HtmlFileName>
      <LongName>995647 - Disclosure - Summary of Significant Accounting Policies (Policies)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureSummaryOfSignificantAccountingPoliciesPolicies</Role>
      <ShortName>Summary of Significant Accounting Policies (Policies)</ShortName>
      <MenuCategory>Policies</MenuCategory>
      <ParentRole>http://litestrategy.com/20260630/taxonomy/role/DisclosureSummaryOfSignificantAccountingPolicies</ParentRole>
      <Position>32</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R33.htm</HtmlFileName>
      <LongName>995657 - Disclosure - Summary of Significant Accounting Policies (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureSummaryOfSignificantAccountingPoliciesTables</Role>
      <ShortName>Summary of Significant Accounting Policies (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://litestrategy.com/20260630/taxonomy/role/DisclosureSummaryOfSignificantAccountingPolicies</ParentRole>
      <Position>33</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R34.htm</HtmlFileName>
      <LongName>995667 - Disclosure - Balance Sheet Details (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureBalanceSheetDetailsTables</Role>
      <ShortName>Balance Sheet Details (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://litestrategy.com/20260630/taxonomy/role/DisclosureBalanceSheetDetails</ParentRole>
      <Position>34</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R35.htm</HtmlFileName>
      <LongName>995677 - Disclosure - Digital Assets (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureDigitalAssetsTables</Role>
      <ShortName>Digital Assets (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://litestrategy.com/20260630/taxonomy/role/DisclosureDigitalAssets</ParentRole>
      <Position>35</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R36.htm</HtmlFileName>
      <LongName>995687 - Disclosure - Fair Value Measurements (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureFairValueMeasurementsTables</Role>
      <ShortName>Fair Value Measurements (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://litestrategy.com/20260630/taxonomy/role/DisclosureFairValueMeasurements</ParentRole>
      <Position>36</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R37.htm</HtmlFileName>
      <LongName>995697 - Disclosure - Employee Termination Benefits (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureEmployeeTerminationBenefitsTables</Role>
      <ShortName>Employee Termination Benefits (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://litestrategy.com/20260630/taxonomy/role/DisclosureEmployeeTerminationBenefits1</ParentRole>
      <Position>37</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R38.htm</HtmlFileName>
      <LongName>995707 - Disclosure - Stockholders' Equity (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureStockholdersEquityTables</Role>
      <ShortName>Stockholders' Equity (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://litestrategy.com/20260630/taxonomy/role/StockholdersEquity</ParentRole>
      <Position>38</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R39.htm</HtmlFileName>
      <LongName>995717 - Disclosure - Warrants (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureWarrantsTables</Role>
      <ShortName>Warrants (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://litestrategy.com/20260630/taxonomy/role/DisclosureWarrants</ParentRole>
      <Position>39</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R40.htm</HtmlFileName>
      <LongName>995727 - Disclosure - Share-based Compensation (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureSharebasedCompensationTables</Role>
      <ShortName>Share-based Compensation (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://litestrategy.com/20260630/taxonomy/role/DisclosureSharebasedCompensation1</ParentRole>
      <Position>40</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R41.htm</HtmlFileName>
      <LongName>995737 - Disclosure - Derivatives (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureDerivativesTables</Role>
      <ShortName>Derivatives (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://litestrategy.com/20260630/taxonomy/role/DisclosureDerivatives</ParentRole>
      <Position>41</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R42.htm</HtmlFileName>
      <LongName>995747 - Disclosure - Segment Information (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureSegmentInformationTables</Role>
      <ShortName>Segment Information (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://litestrategy.com/20260630/taxonomy/role/DisclosureSegmentInformation</ParentRole>
      <Position>42</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R43.htm</HtmlFileName>
      <LongName>995757 - Disclosure - Income Taxes (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/IncomeTaxesTables</Role>
      <ShortName>Income Taxes (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://litestrategy.com/20260630/taxonomy/role/IncomeTaxes</ParentRole>
      <Position>43</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R44.htm</HtmlFileName>
      <LongName>995767 - Disclosure - Related Party Transactions (Tables)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureRelatedPartyTransactionsTables</Role>
      <ShortName>Related Party Transactions (Tables)</ShortName>
      <MenuCategory>Tables</MenuCategory>
      <ParentRole>http://litestrategy.com/20260630/taxonomy/role/DisclosureRelatedPartyTransactions</ParentRole>
      <Position>44</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R45.htm</HtmlFileName>
      <LongName>995777 - Disclosure - Description of Business and Basis of Presentation - Additional Information (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureDescriptionOfBusinessAndBasisOfPresentationAdditionalInformationDetail</Role>
      <ShortName>Description of Business and Basis of Presentation - Additional Information (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>45</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R46.htm</HtmlFileName>
      <LongName>995787 - Disclosure - Summary of Significant Accounting Policies - Antidilutive Securities (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureSummaryOfSignificantAccountingPoliciesAntidilutiveSecuritiesDetail</Role>
      <ShortName>Summary of Significant Accounting Policies - Antidilutive Securities (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>46</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R47.htm</HtmlFileName>
      <LongName>995797 - Disclosure - Summary of Significant Accounting Policies - Additional Information (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureSummaryOfSignificantAccountingPoliciesAdditionalInformationDetail</Role>
      <ShortName>Summary of Significant Accounting Policies - Additional Information (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>47</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R48.htm</HtmlFileName>
      <LongName>995807 - Disclosure - Balance Sheet Details - Schedule of Prepaid and Other Current Assets (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureBalanceSheetDetailsScheduleOfPrepaidAndOtherCurrentAssetsDetail</Role>
      <ShortName>Balance Sheet Details - Schedule of Prepaid and Other Current Assets (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>48</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R49.htm</HtmlFileName>
      <LongName>995817 - Disclosure - Digital Assets - Additional Information (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureDigitalAssetsAdditionalInformationDetail</Role>
      <ShortName>Digital Assets - Additional Information (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>49</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R50.htm</HtmlFileName>
      <LongName>995827 - Disclosure - Digital Assets - Summary of Digital Asset Holdings (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureDigitalAssetsSummaryOfDigitalAssetHoldingsDetail</Role>
      <ShortName>Digital Assets - Summary of Digital Asset Holdings (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>50</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R51.htm</HtmlFileName>
      <LongName>995837 - Disclosure - Balance Sheet Details - Accrued Liabilities (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureBalanceSheetDetailsAccruedLiabilitiesDetail</Role>
      <ShortName>Balance Sheet Details - Accrued Liabilities (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>51</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R52.htm</HtmlFileName>
      <LongName>995847 - Disclosure - Balance Sheet Details - Accrued Liabilities (Parenthetical) (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureBalanceSheetDetailsAccruedLiabilitiesParentheticalDetail</Role>
      <ShortName>Balance Sheet Details - Accrued Liabilities (Parenthetical) (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>52</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R53.htm</HtmlFileName>
      <LongName>995857 - Disclosure - Fair Value Measurements - Additional Information (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureFairValueMeasurementsAdditionalInformationDetail</Role>
      <ShortName>Fair Value Measurements - Additional Information (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>53</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R54.htm</HtmlFileName>
      <LongName>995867 - Disclosure - Fair Value Measurements - Schedule of Financial Assets and Liabilities Measured at Fair Value on Recurring Basis (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureFairValueMeasurementsScheduleOfFinancialAssetsAndLiabilitiesMeasuredAtFairValueOnRecurringBasisDetail</Role>
      <ShortName>Fair Value Measurements - Schedule of Financial Assets and Liabilities Measured at Fair Value on Recurring Basis (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>54</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R55.htm</HtmlFileName>
      <LongName>995877 - Disclosure - Fair Value Measurements - Schedule of Changes in Carrying Amount of Digital Assets (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureFairValueMeasurementsScheduleOfChangesInCarryingAmountOfDigitalAssetsDetail</Role>
      <ShortName>Fair Value Measurements - Schedule of Changes in Carrying Amount of Digital Assets (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>55</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R56.htm</HtmlFileName>
      <LongName>995887 - Disclosure - Fair Value Measurements - Schedule of Reconciliation of all Financial Assets Measured at Fair Value (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureFairValueMeasurementsScheduleOfReconciliationOfAllFinancialAssetsMeasuredAtFairValueDetail</Role>
      <ShortName>Fair Value Measurements - Schedule of Reconciliation of all Financial Assets Measured at Fair Value (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>56</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R57.htm</HtmlFileName>
      <LongName>995917 - Disclosure - Employee Termination Benefits - Additional Information (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureEmployeeTerminationBenefitsAdditionalInformationDetail</Role>
      <ShortName>Employee Termination Benefits - Additional Information (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>57</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R58.htm</HtmlFileName>
      <LongName>995927 - Disclosure - Employee Termination Benefits - Summary of Activity Related to Employee Termination Benefits Included in Accrued Liabilities (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureEmployeeTerminationBenefitsSummaryOfActivityRelatedToEmployeeTerminationBenefitsIncludedInAccruedLiabilitiesDetail</Role>
      <ShortName>Employee Termination Benefits - Summary of Activity Related to Employee Termination Benefits Included in Accrued Liabilities (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>58</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R59.htm</HtmlFileName>
      <LongName>995937 - Disclosure - Derivatives - Schedule of Classification of Derivatives Carried at Fair Value (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureDerivativesScheduleOfClassificationOfDerivativesCarriedAtFairValueDetails</Role>
      <ShortName>Derivatives - Schedule of Classification of Derivatives Carried at Fair Value (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>59</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R60.htm</HtmlFileName>
      <LongName>995947 - Disclosure - Derivatives - (Additional Information) (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureDerivativesAdditionalInformationDetails</Role>
      <ShortName>Derivatives - (Additional Information) (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <ParentRole>http://litestrategy.com/20260630/taxonomy/role/DisclosureDerivativesTables</ParentRole>
      <Position>60</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R61.htm</HtmlFileName>
      <LongName>995957 - Disclosure - Commitments and Contingencies - Additional Information (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/CommitmentsAndContingenciesAdditionalInformationDetail</Role>
      <ShortName>Commitments and Contingencies - Additional Information (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>61</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R62.htm</HtmlFileName>
      <LongName>995967 - Disclosure - License Agreements - Additional Information (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureLicenseAgreementsAdditionalInformationDetail</Role>
      <ShortName>License Agreements - Additional Information (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>62</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R63.htm</HtmlFileName>
      <LongName>995977 - Disclosure - Stockholders' Equity - Additional Information (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/StockholdersEquityAdditionalInformationDetail</Role>
      <ShortName>Stockholders' Equity - Additional Information (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>63</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R64.htm</HtmlFileName>
      <LongName>995987 - Disclosure - Stockholders' Equity - Schedule of Activity under Share Repurchase Program (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureStockholdersEquityScheduleOfActivityUnderShareRepurchaseProgramDetails</Role>
      <ShortName>Stockholders' Equity - Schedule of Activity under Share Repurchase Program (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>64</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R65.htm</HtmlFileName>
      <LongName>995997 - Disclosure - Warrants - Schedule of Warrants Outstanding (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureWarrantsScheduleOfWarrantsOutstandingDetail</Role>
      <ShortName>Warrants - Schedule of Warrants Outstanding (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>65</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R66.htm</HtmlFileName>
      <LongName>996007 - Disclosure - Warrants - Additional Information (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureWarrantsAdditionalInformationDetail</Role>
      <ShortName>Warrants - Additional Information (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>66</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R67.htm</HtmlFileName>
      <LongName>996017 - Disclosure - Warrants - Schedule of Weighted-Average Grant Date Assumptions (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureWarrantsScheduleOfWeightedaverageGrantDateAssumptionsDetail</Role>
      <ShortName>Warrants - Schedule of Weighted-Average Grant Date Assumptions (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>67</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R68.htm</HtmlFileName>
      <LongName>996027 - Disclosure - Share-based Compensation - Additional Information (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureSharebasedCompensationAdditionalInformationDetail</Role>
      <ShortName>Share-based Compensation - Additional Information (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>68</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R69.htm</HtmlFileName>
      <LongName>996037 - Disclosure - Share-based Compensation - Share-based Compensation Expense for Stock Awards (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureSharebasedCompensationSharebasedCompensationExpenseForStockAwardsDetail</Role>
      <ShortName>Share-based Compensation - Share-based Compensation Expense for Stock Awards (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>69</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R70.htm</HtmlFileName>
      <LongName>996047 - Disclosure - Share-based Compensation - Summary of Stock Option Activity (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureSharebasedCompensationSummaryOfStockOptionActivityDetail</Role>
      <ShortName>Share-based Compensation - Summary of Stock Option Activity (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>70</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R71.htm</HtmlFileName>
      <LongName>996057 - Disclosure - Share-based Compensation - Fair Value of Stock Options Weighted-Average Assumptions Used (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureSharebasedCompensationFairValueOfStockOptionsWeightedaverageAssumptionsUsedDetail</Role>
      <ShortName>Share-based Compensation - Fair Value of Stock Options Weighted-Average Assumptions Used (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>71</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R72.htm</HtmlFileName>
      <LongName>996067 - Disclosure - Segment Information - Additional Information (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureSegmentInformationAdditionalInformationDetails</Role>
      <ShortName>Segment Information - Additional Information (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>72</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R73.htm</HtmlFileName>
      <LongName>996077 - Disclosure - Segment Information - Summary of Financial Data for Development of Pharmaceutical Products Segments (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureSegmentInformationSummaryOfFinancialDataForDevelopmentOfPharmaceuticalProductsSegmentsDetails</Role>
      <ShortName>Segment Information - Summary of Financial Data for Development of Pharmaceutical Products Segments (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>73</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R74.htm</HtmlFileName>
      <LongName>996087 - Disclosure - Disposition of a Nonfinancial Asset - Additional Information (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureDispositionOfANonfinancialAssetAdditionalInformationDetail</Role>
      <ShortName>Disposition of a Nonfinancial Asset - Additional Information (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>74</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R75.htm</HtmlFileName>
      <LongName>996097 - Disclosure - Income Taxes - Pre-tax loss before provision for income taxes (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureIncomeTaxesPretaxLossBeforeProvisionForIncomeTaxesDetails</Role>
      <ShortName>Income Taxes - Pre-tax loss before provision for income taxes (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>75</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R76.htm</HtmlFileName>
      <LongName>996107 - Disclosure - Income Taxes - Reconciliation of Provision for Income Taxes Computed at U.S Federal Statutory Tax Rates to Income Before Income Taxes (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureIncomeTaxesReconciliationOfProvisionForIncomeTaxesComputedAtUsFederalStatutoryTaxRatesToIncomeBeforeIncomeTaxesDetails</Role>
      <ShortName>Income Taxes - Reconciliation of Provision for Income Taxes Computed at U.S Federal Statutory Tax Rates to Income Before Income Taxes (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>76</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R77.htm</HtmlFileName>
      <LongName>996117 - Disclosure - Income Taxes - Reconciliation of Provision for Income Taxes Computed at U.S Federal Statutory Tax Rates to Income Before Income Taxes (Parenthetical) (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureIncomeTaxesReconciliationOfProvisionForIncomeTaxesComputedAtUsFederalStatutoryTaxRatesToIncomeBeforeIncomeTaxesParentheticalDe</Role>
      <ShortName>Income Taxes - Reconciliation of Provision for Income Taxes Computed at U.S Federal Statutory Tax Rates to Income Before Income Taxes (Parenthetical) (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>77</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R78.htm</HtmlFileName>
      <LongName>996127 - Disclosure - Income Taxes - Schedule of Income Taxes Paid Net of Refunds Received (Details)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureIncomeTaxesScheduleOfIncomeTaxesPaidNetOfRefundsReceivedDetails</Role>
      <ShortName>Income Taxes - Schedule of Income Taxes Paid Net of Refunds Received (Details)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>78</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R79.htm</HtmlFileName>
      <LongName>996137 - Disclosure - Income Taxes - Deferred Tax Liabilities and Assets (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureIncomeTaxesDeferredTaxLiabilitiesAndAssetsDetail</Role>
      <ShortName>Income Taxes - Deferred Tax Liabilities and Assets (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>79</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R80.htm</HtmlFileName>
      <LongName>996147 - Disclosure - Income Taxes - Additional Information (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/IncomeTaxesAdditionalInformationDetail</Role>
      <ShortName>Income Taxes - Additional Information (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>80</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R81.htm</HtmlFileName>
      <LongName>996157 - Disclosure - Related Party Transactions - Summary of Related Party Transactions with Affiliates of Board (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureRelatedPartyTransactionsSummaryOfRelatedPartyTransactionsWithAffiliatesOfBoardDetail</Role>
      <ShortName>Related Party Transactions - Summary of Related Party Transactions with Affiliates of Board (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>81</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R82.htm</HtmlFileName>
      <LongName>996167 - Disclosure - Related Party Transactions - Additional information (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureRelatedPartyTransactionsAdditionalInformationDetail</Role>
      <ShortName>Related Party Transactions - Additional information (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>82</Position>
    </Report>
    <Report instance="lits-20260630.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R83.htm</HtmlFileName>
      <LongName>996177 - Disclosure - Subsequent Events - Additional Information (Detail)</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://litestrategy.com/20260630/taxonomy/role/DisclosureSubsequentEventsAdditionalInformationDetail</Role>
      <ShortName>Subsequent Events - Additional Information (Detail)</ShortName>
      <MenuCategory>Details</MenuCategory>
      <Position>83</Position>
    </Report>
    <Report>
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <LongName>All Reports</LongName>
      <ReportType>Book</ReportType>
      <ShortName>All Reports</ShortName>
    </Report>
  </MyReports>
  <InputFiles>
    <File doctype="10-K" isDefinitelyFs="true" isUsgaap="true" original="lits-20260630.htm">lits-20260630.htm</File>
    <File>lits-20260630.xsd</File>
  </InputFiles>
  <SupplementalFiles>
    <File>img209309641_0.gif</File>
    <File>img209309641_1.gif</File>
    <File>img209309641_10.jpg</File>
    <File>img209309641_11.gif</File>
    <File>img209309641_2.gif</File>
    <File>img209309641_3.gif</File>
    <File>img209309641_4.gif</File>
    <File>img209309641_5.gif</File>
    <File>img209309641_6.gif</File>
    <File>img209309641_7.gif</File>
    <File>img209309641_8.gif</File>
    <File>img209309641_9.gif</File>
  </SupplementalFiles>
  <BaseTaxonomies>
    <BaseTaxonomy items="1">http://fasb.org/srt/2026</BaseTaxonomy>
    <BaseTaxonomy items="671">http://fasb.org/us-gaap/2026</BaseTaxonomy>
    <BaseTaxonomy items="14">http://xbrl.sec.gov/cyd/2026</BaseTaxonomy>
    <BaseTaxonomy items="42">http://xbrl.sec.gov/dei/2026</BaseTaxonomy>
    <BaseTaxonomy items="75">http://xbrl.sec.gov/ecd/2026</BaseTaxonomy>
  </BaseTaxonomies>
  <HasPresentationLinkbase>false</HasPresentationLinkbase>
  <HasCalculationLinkbase>false</HasCalculationLinkbase>
</FilingSummary>
