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Taxation (Details) - Schedule of Taxation (Parentheticals) | 12 Months Ended
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Dec. 31, 2023 | Dec. 31, 2022
Schedule of Taxation [Abstract] |  |
Tax using the Isle of Man corporation tax rate | 0.00% | 0.00%

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- Definition The applicable income tax rate. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Name IAS -Number 12 -IssueDate 2023-01-01 -Paragraph 81 -Subparagraph c -Clause ii -URI https://taxonomy.ifrs.org/xifrs-link?type=IAS&num=12&code=ifrs-tx-2023-en-r&anchor=para_81_c_ii&doctype=Standard -URIDate 2023-03-23 + Details
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Namespace Prefix: | ifrs-full_
Data Type: | dtr-types:percentItemType
Balance Type: | na
Period Type: | duration

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