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Subscription Receivable (Details) - Schedule of Subscription Receivable - USD ($) | Dec. 31, 2023 | Dec. 31, 2022
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Schedule of Subscription Receivable [Abstract] |  |
Subscription receivable |  | $ 50,000,000

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- Definition The amount of current other receivables. [Refer: Other receivables] + References Reference 1: http://www.xbrl.org/2003/role/exampleRef -Name IAS -Number 1 -IssueDate 2023-01-01 -Paragraph 78 -Subparagraph b -URI https://taxonomy.ifrs.org/xifrs-link?type=IAS&num=1&code=ifrs-tx-2023-en-r&anchor=para_78_b&doctype=Standard -URIDate 2023-03-23 + Details
Name: | ifrs-full_OtherCurrentReceivables
Namespace Prefix: | ifrs-full_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

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