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Equity (Details) - Schedule of Monte Carlo Model (Parentheticals)	12 Months Ended
	Dec. 31, 2023
Schedule of Monte Carol Model [Abstract]
Risk-Free Rate	5 years

X

- Definition

Represent the amount of risk-free rate.

+ References

No definition available.

+ Details

Name:	lzm_RiskFreeRate
Namespace Prefix:	lzm_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

X

- References

No definition available.

+ Details

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