Investments - Schedule of Financing Receivables by Origination Year (Details) - USD ($) $ in Thousands	Jun. 30, 2026	Dec. 31, 2025
Asset Management
Origination Year
Total	$ 13,586	$ 13,586
Asset Management \| Level 1
Origination Year
Total	13,586	13,586
Asset Management \| Corporate loans
Origination Year
Year one	0	0
Year two	0	0
Year three	0	0
Year four	0	0
Year five	0	0
Prior	13,586	13,586
Total	13,586	13,586
Asset Management \| Corporate loans \| Level 1
Origination Year
Year one	0	0
Year two	0	0
Year three	0	0
Year four	0	0
Year five	0	0
Prior	13,586	13,586
Total	13,586	13,586
Asset Management \| Corporate loans \| Level 2
Origination Year
Year one	0	0
Year two	0	0
Year three	0	0
Year four	0	0
Year five	0	0
Prior	0	0
Total	0	0
Asset Management \| Corporate loans \| Level 3
Origination Year
Year one	0	0
Year two	0	0
Year three	0	0
Year four	0	0
Year five	0	0
Prior	0	0
Total	0	0
Asset Management \| Corporate loans \| Level 4
Origination Year
Year one	0	0
Year two	0	0
Year three	0	0
Year four	0	0
Year five	0	0
Prior	0	0
Total	0	0
Asset Management \| Corporate loans \| Level 5
Origination Year
Year one	0	0
Year two	0	0
Year three	0	0
Year four	0	0
Year five	0	0
Prior	0	0
Total	0	0
Insurance Solutions
Origination Year
Year one	35,989	32,801
Year two	40,082	38,882
Year three	37,447	25,781
Year four	22,143	22,315
Year five	23,824	54,950
Prior	47,485	15,916
Total	206,970	190,645
Insurance Solutions \| Level 1
Origination Year
Total	16,230	18,043
Insurance Solutions \| Level 2
Origination Year
Total	155,991	107,259
Insurance Solutions \| Level 3
Origination Year
Total	4,104	8,120
Insurance Solutions \| Level 4
Origination Year
Total	0	0
Insurance Solutions \| Level 5
Origination Year
Total	30,645	57,223
Insurance Solutions \| Corporate loans
Origination Year
Year one	1,646	223
Year two	199	48
Year three	43	596
Year four	533	74
Year five	66	17,102
Prior	15,295	0
Total	17,782	18,043
Insurance Solutions \| Corporate loans \| Level 1
Origination Year
Year one	95	223
Year two	199	48
Year three	43	596
Year four	533	74
Year five	66	17,102
Prior	15,295	0
Total	16,231	18,043
Insurance Solutions \| Corporate loans \| Level 2
Origination Year
Year one	1,551	0
Year two	0	0
Year three	0	0
Year four	0	0
Year five	0	0
Prior	0	0
Total	1,551	0
Insurance Solutions \| Corporate loans \| Level 3
Origination Year
Year one	0	0
Year two	0	0
Year three	0	0
Year four	0	0
Year five	0	0
Prior	0	0
Total	0	0
Insurance Solutions \| Corporate loans \| Level 4
Origination Year
Year one	0	0
Year two	0	0
Year three	0	0
Year four	0	0
Year five	0	0
Prior	0	0
Total	0	0
Insurance Solutions \| Corporate loans \| Level 5
Origination Year
Year one	0	0
Year two	0	0
Year three	0	0
Year four	0	0
Year five	0	0
Prior	0	0
Total	0	0
Insurance Solutions \| Commercial real estate mortgage loans
Origination Year
Year one	5,461	7,354
Year two	7,354	5,220
Year three	9,760	17,554
Year four	17,510	12,754
Year five	23,758	18,741
Prior	12,020	3,447
Total	75,863	65,070
Insurance Solutions \| Commercial real estate mortgage loans \| Level 1
Origination Year
Year one	0	0
Year two	0	0
Year three	0	0
Year four	0	0
Year five	0	0
Prior	0	0
Total	0	0
Insurance Solutions \| Commercial real estate mortgage loans \| Level 2
Origination Year
Year one	5,461	7,354
Year two	7,354	5,220
Year three	9,760	17,554
Year four	17,510	10,840
Year five	21,844	3,460
Prior	3,460	0
Total	65,389	44,428
Insurance Solutions \| Commercial real estate mortgage loans \| Level 3
Origination Year
Year one	0	0
Year two	0	0
Year three	0	0
Year four	0	0
Year five	0	4,482
Prior	0	0
Total	0	4,482
Insurance Solutions \| Commercial real estate mortgage loans \| Level 4
Origination Year
Year one	0	0
Year two	0	0
Year three	0	0
Year four	0	0
Year five	0	0
Prior	0	0
Total	0	0
Insurance Solutions \| Commercial real estate mortgage loans \| Level 5
Origination Year
Year one	0	0
Year two	0	0
Year three	0	0
Year four	0	1,914
Year five	1,914	10,799
Prior	8,560	3,447
Total	10,474	16,160
Insurance Solutions \| Multi-family mortgage loans
Origination Year
Year one	28,882	25,224
Year two	32,529	33,614
Year three	27,644	7,631
Year four	4,100	9,487
Year five	0	19,107
Prior	20,170	12,469
Total	113,325	107,532
Insurance Solutions \| Multi-family mortgage loans \| Level 1
Origination Year
Year one	0	0
Year two	0	0
Year three	0	0
Year four	0	0
Year five	0	0
Prior	0	0
Total	0	0
Insurance Solutions \| Multi-family mortgage loans \| Level 2
Origination Year
Year one	28,882	21,586
Year two	28,424	33,614
Year three	27,644	7,631
Year four	4,100	0
Year five	0	0
Prior	0	0
Total	89,050	62,831
Insurance Solutions \| Multi-family mortgage loans \| Level 3
Origination Year
Year one	0	3,638
Year two	4,105	0
Year three	0	0
Year four	0	0
Year five	0	0
Prior	0	0
Total	4,105	3,638
Insurance Solutions \| Multi-family mortgage loans \| Level 4
Origination Year
Year one	0	0
Year two	0	0
Year three	0	0
Year four	0	0
Year five	0	0
Prior	0	0
Total	0	0
Insurance Solutions \| Multi-family mortgage loans \| Level 5
Origination Year
Year one	0	0
Year two	0	0
Year three	0	0
Year four	0	9,487
Year five	0	19,107
Prior	20,170	12,469
Total	$ 20,170	$ 41,063

No definition available.

Name:	us-gaap_FinancingReceivableBeforeAllowanceForCreditLossByOriginationYearAbstract
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

- Definition

Amortized cost of financing receivable originated more than five years prior to current fiscal year. Excludes net investment in lease.

+ References

Reference 1: http://www.xbrl.org/2003/role/exampleRef
-Topic 326
-SubTopic 20
-Name Accounting Standards Codification
-Section 55
-Paragraph 79
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479294/326-20-55-79

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Topic 326
-SubTopic 20
-Name Accounting Standards Codification
-Section 50
-Paragraph 6
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479319/326-20-50-6

+ Details

Name:	us-gaap_FinancingReceivableOriginatedFiveOrMoreYearsBeforeLatestFiscalYear
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Definition

Amortized cost of financing receivable originated four years prior to current fiscal year. Excludes net investment in lease.

+ References

+ Details

Name:	us-gaap_FinancingReceivableOriginatedFourYearsBeforeLatestFiscalYear
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Definition

Amortized cost of financing receivable originated in current fiscal year. Excludes net investment in lease.

+ References

+ Details

Name:	us-gaap_FinancingReceivableOriginatedInCurrentFiscalYear
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Definition

Amortized cost of financing receivable originated in fiscal year prior to current fiscal year. Excludes net investment in lease.

+ References

+ Details

Name:	us-gaap_FinancingReceivableOriginatedInFiscalYearBeforeLatestFiscalYear
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Definition

Amortized cost of financing receivable originated three years prior to current fiscal year. Excludes net investment in lease.

+ References

+ Details

Name:	us-gaap_FinancingReceivableOriginatedThreeYearsBeforeLatestFiscalYear
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Definition

Amortized cost of financing receivable originated two years prior to current fiscal year. Excludes net investment in lease.

+ References

+ Details

Name:	us-gaap_FinancingReceivableOriginatedTwoYearsBeforeLatestFiscalYear
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Definition

Amortized cost, before allowance for credit loss, of financing receivable. Excludes financing receivable covered under loss sharing agreement and net investment in lease.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 310
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 3
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147481962/310-10-50-3

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Topic 326
-SubTopic 20
-Name Accounting Standards Codification
-Section 50
-Paragraph 5
-Subparagraph (b)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479319/326-20-50-5

Reference 3: http://www.xbrl.org/2003/role/exampleRef
-Topic 326
-SubTopic 20
-Name Accounting Standards Codification
-Section 55
-Paragraph 79
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479294/326-20-55-79

Reference 4: http://www.xbrl.org/2003/role/disclosureRef
-Topic 326
-SubTopic 20
-Name Accounting Standards Codification
-Section 50
-Paragraph 14
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479319/326-20-50-14

Reference 5: http://www.xbrl.org/2009/role/commonPracticeRef
-Name Regulation S-K (SK)
-Number 229
-Section 1404
-Paragraph a
-Publisher SEC

Reference 6: http://www.xbrl.org/2003/role/disclosureRef
-Topic 942
-SubTopic 210
-Name Accounting Standards Codification
-Section S45
-Paragraph 1
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147477657/942-210-S45-1

Reference 7: http://www.xbrl.org/2003/role/disclosureRef
-Topic 942
-SubTopic 210
-Name Accounting Standards Codification
-Section S50
-Paragraph 1
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147478478/942-210-S50-1

Reference 8: http://www.xbrl.org/2003/role/disclosureRef
-Topic 942
-SubTopic 210
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.9-03(7)(e)(1)(i))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147478546/942-210-S99-1

Reference 9: http://www.xbrl.org/2003/role/disclosureRef
-Topic 210
-SubTopic 10
-Name Accounting Standards Codification
-Section S50
-Paragraph 2
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480657/210-10-S50-2

Reference 10: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 326
-SubTopic 20
-Name Accounting Standards Codification
-Section 45
-Paragraph 1
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479344/326-20-45-1

Reference 11: http://www.xbrl.org/2003/role/disclosureRef
-Topic 825
-SubTopic 10
-Name Accounting Standards Codification
-Section 45
-Paragraph 1A
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482736/825-10-45-1A

Reference 12: http://www.xbrl.org/2003/role/disclosureRef
-Topic 948
-SubTopic 310
-Name Accounting Standards Codification
-Section 45
-Paragraph 1
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147477011/948-310-45-1

Reference 13: http://www.xbrl.org/2003/role/disclosureRef
-Topic 310
-SubTopic 10
-Name Accounting Standards Codification
-Section 45
-Paragraph 13
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147481990/310-10-45-13

Reference 14: http://fasb.org/us-gaap/role/ref/otherTransitionRef
-Topic 310
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 7A
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147481962/310-10-50-7A

Reference 15: http://fasb.org/us-gaap/role/ref/otherTransitionRef
-Topic 310
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 29
-Subparagraph (b)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147481962/310-10-50-29

Reference 16: http://www.xbrl.org/2003/role/disclosureRef
-Name Regulation S-K (SK)
-Number 229
-Section 1405
-Paragraph a
-Subparagraph (1)
-Publisher SEC

Reference 17: http://www.xbrl.org/2003/role/disclosureRef
-Name Regulation S-K (SK)
-Number 229
-Section 1405
-Paragraph a
-Subparagraph (2)
-Publisher SEC

Reference 18: http://www.xbrl.org/2003/role/exampleRef
-Topic 326
-SubTopic 20
-Name Accounting Standards Codification
-Section 55
-Paragraph 80
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479294/326-20-55-80

Reference 19: http://www.xbrl.org/2003/role/disclosureRef
-Topic 210
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02(3)(b))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480566/210-10-S99-1

+ Details

Name:	us-gaap_NotesReceivableGross
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Details

Name:	us-gaap_StatementBusinessSegmentsAxis=logan_AssetManagementSegmentMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_InternalCreditAssessmentAxis=logan_InternalCreditAssessmentLevelOneMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_FinancialInstrumentAxis=logan_CorporateLoansMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_InternalCreditAssessmentAxis=logan_InternalCreditAssessmentLevelTwoMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_InternalCreditAssessmentAxis=logan_InternalCreditAssessmentLevelThreeMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_InternalCreditAssessmentAxis=logan_InternalCreditAssessmentLevelFourMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_InternalCreditAssessmentAxis=logan_InternalCreditAssessmentLevelFiveMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_StatementBusinessSegmentsAxis=logan_InsuranceSolutionsSegmentMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_FinancialInstrumentAxis=us-gaap_CommercialRealEstatePortfolioSegmentMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_FinancialInstrumentAxis=logan_MultiFamilyMortgageLoansMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: