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Lease Liabilities (Details) - Schedule of Undiscounted Lease Payments - USD ($) | Dec. 31, 2023 | Dec. 31, 2022
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Lease Liabilities (Details) - Schedule of Undiscounted Lease Payments [Line Items] |  |
Lease payments | $ 1,914,101 | $ 434,363
Less than 1 year [Member] |  |
Lease Liabilities (Details) - Schedule of Undiscounted Lease Payments [Line Items] |  |
Lease payments | 678,051 | 122,513
More than 1 year but less than 5 years [Member] |  |
Lease Liabilities (Details) - Schedule of Undiscounted Lease Payments [Line Items] |  |
Lease payments | $ 1,236,050 | $ 311,850

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- Definition The amount of undiscounted operating lease payments to be received. Operating lease is a lease that does not transfer substantially all the risks and rewards incidental to ownership of an underlying asset. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Name IFRS -Number 16 -IssueDate 2023-01-01 -Paragraph 97 -URI https://taxonomy.ifrs.org/xifrs-link?type=IFRS&num=16&code=ifrs-tx-2023-en-r&anchor=para_97&doctype=Standard -URIDate 2023-03-23 + Details
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Namespace Prefix: | ifrs-full_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

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

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- Details
Name: | ifrs-full_MaturityAxis=ifrs-full_NotLaterThanThreeMonthsMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

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- Details
Name: | ifrs-full_MaturityAxis=ifrs-full_LaterThanFourYearsAndNotLaterThanFiveYearsMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |