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Lease Liabilities (Details) - Schedule of Undiscounted Lease Payments - USD ($)	Dec. 31, 2023	Dec. 31, 2022
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

X

- 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

Name:	ifrs-full_UndiscountedOperatingLeasePaymentsToBeReceived
Namespace Prefix:	ifrs-full_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

X

- References

No definition available.

+ Details

Name:	lzm_LeaseLiabilitiesDetailsScheduleofUndiscountedLeasePaymentsLineItems
Namespace Prefix:	lzm_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

X

- Details

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

X

- Details

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