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Receivables/ (Payables) to Affiliates (Detail) (USD $)
Dec. 31, 2014
Resolution  
Related Party Transaction [Line Items]  
Receivables/ (Payables) to Affiliates $ (4,509,447)us-gaap_RelatedPartyTransactionDueFromToRelatedParty
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= ck0000910739_ResolutionMember
Lanis  
Related Party Transaction [Line Items]  
Receivables/ (Payables) to Affiliates $ (1,563,783)us-gaap_RelatedPartyTransactionDueFromToRelatedParty
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= ck0000910739_LanisMember