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Subsequent Events - Additional Information (Details) - IronNet [Member] - USD ($) | Feb. 28, 2022 | Mar. 31, 2022
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Forecast [Member] |  |
Subsequent Event [Line Items] |  |
Distribution of shares by sponsor subject to certain founder share restrictions |  | 1,250,000
Subsequent Event [Member] |  |
Subsequent Event [Line Items] |  |
Number of shares delivered against derivative position | 50,000 |
Proceeds from sale of derivative position | $ 400,000 |
Unrestricted shares held | 1,288,620 |
Put Options | Subsequent Event [Member] |  |
Subsequent Event [Line Items] |  |
Shares issued by sponsor | 250,000 |

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- Definition Distribution of shares by sponsor subject to certain founder share non-restrictions. + References No definition available. + Details
Name: | lgl_DistributionOfSharesBySponsorSubjectToCertainFounderShareNonRestrictions
Namespace Prefix: | lgl_
Data Type: | xbrli:sharesItemType
Balance Type: | na
Period Type: | instant

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- Definition Distribution of shares by sponsor subject to certain founder share restrictions. + References No definition available. + Details
Name: | lgl_DistributionOfSharesBySponsorSubjectToCertainFounderShareRestrictions
Namespace Prefix: | lgl_
Data Type: | xbrli:sharesItemType
Balance Type: | na
Period Type: | instant

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- Definition Number of shares delivered against derivative position. + References No definition available. + Details
Name: | lgl_NumberOfSharesDeliveredAgainstDerivativePosition
Namespace Prefix: | lgl_
Data Type: | xbrli:sharesItemType
Balance Type: | na
Period Type: | duration

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- Definition Number of shares issued by sponsor. + References No definition available. + Details
Name: | lgl_NumberOfSharesIssuedBySponsor
Namespace Prefix: | lgl_
Data Type: | xbrli:sharesItemType
Balance Type: | na
Period Type: | instant

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- Definition Proceeds from sale of derivative position. + References No definition available. + Details
Name: | lgl_ProceedsFromSaleOfDerivativePosition
Namespace Prefix: | lgl_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Definition Detail information of subsequent event by type. User is expected to use existing line items from elsewhere in the taxonomy as the primary line items for this disclosure, which is further associated with dimension and member elements pertaining to a subsequent event. + References No definition available. + Details
Name: | us-gaap_SubsequentEventLineItems
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- Details
Name: | us-gaap_RelatedPartyTransactionsByRelatedPartyAxis=lgl_IronNetMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

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- Details
Name: | srt_StatementScenarioAxis=srt_ScenarioForecastMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

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- Details
Name: | us-gaap_SubsequentEventTypeAxis=us-gaap_SubsequentEventMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

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- Details
Name: | us-gaap_FinancialInstrumentAxis=lgl_PutOptionsMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |