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Contingent Consideration (Details) - Schedule of Carrying Amount for the Reporting Periods - USD ($) | 12 Months Ended
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Dec. 31, 2023 | Dec. 31, 2022
Schedule of Carrying Amount for the Reporting Periods {Abstract] |  |
Beginning Balance | $ 3,689,755 | $ 5,681,603
Repayment |  | (2,000,000)
Remeasurement gain | (156,047) | (235,505)
Accretion of interest | 159,904 | 243,657
Ending Balances | $ 3,693,612 | $ 3,689,755

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- Definition The increase (decrease) in reimbursement rights related to defined benefit obligation, resulting from the remeasurement of reimbursement rights. [Refer: Reimbursement rights related to defined benefit obligation, at fair value] + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Name IAS -Number 19 -IssueDate 2023-01-01 -Paragraph 141 -Subparagraph c -URI https://taxonomy.ifrs.org/xifrs-link?type=IAS&num=19&code=ifrs-tx-2023-en-r&anchor=para_141_c&doctype=Standard -URIDate 2023-03-23 + Details
Name: | ifrs-full_GainLossOnRemeasurementOfReimbursementRights
Namespace Prefix: | ifrs-full_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Definition The cash outflow for repayments of current borrowings. [Refer: Current borrowings] + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Name IAS -Number 7 -IssueDate 2023-01-01 -Paragraph 17 -URI https://taxonomy.ifrs.org/xifrs-link?type=IAS&num=7&code=ifrs-tx-2023-en-r&anchor=para_17&doctype=Standard -URIDate 2023-03-23 + Details
Name: | ifrs-full_RepaymentsOfCurrentBorrowings
Namespace Prefix: | ifrs-full_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

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- Definition Represent the amount of accretion of interest. + References No definition available. + Details
Name: | lzm_AccretionOfInterest
Namespace Prefix: | lzm_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

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- Definition The amount of gross carrying amount. + References No definition available. + Details
Name: | lzm_GrossCarryingAmountBalance
Namespace Prefix: | lzm_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

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- References No definition available. + Details
Name: | lzm_ScheduleOfCarryingAmountForTheReportingPeriodsAbstract
Namespace Prefix: | lzm_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration