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Subsequent Events - Additional Information (Details) - Subsequent Event [Member] - USD ($)
Oct. 18, 2022
Oct. 17, 2022
Oct. 07, 2022
European Style Warrants [Member]      
Subsequent Event [Line Items]      
Warrant     5,250,000
Description of warrants exercisable     5 for 1
Warrant exercise price $ 4.75 $ 12.50  
Warrant target trigger price for potential acceleration of the exercise date $ 6.65 $ 17.50  
M-tron Industries, Inc. [Member]      
Subsequent Event [Line Items]      
Cash balance     $ 1,000,000
M-tron Industries, Inc. [Member] | LGL Shares [Member]      
Subsequent Event [Line Items]      
Cancelation of shares     52,533
M-tron Industries, Inc. [Member] | Options [Member]      
Subsequent Event [Line Items]      
Cancelation of shares     10,000
M-tron Industries, Inc. [Member] | Spin-Off [Member]      
Subsequent Event [Line Items]      
Percentage of shares distributed upon separation     100.00%
Right to receive common stock share     0.5
Write off of intercompany receivables     $ 4,439,000
Intercompany balances     $ 0