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Note F - Fair Value Measurements (Details Textual)	Sep. 30, 2023	Dec. 31, 2022
Number of Mutual Fund Investments	2	4

X

- Definition

Represents the number of mutual fund investments.

+ References

No definition available.

+ Details

Name:	lgl_NumberOfMutualFundInvestments
Namespace Prefix:	lgl_
Data Type:	xbrli:integerItemType
Balance Type:	na
Period Type:	instant