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PREFERRED STOCK AND COMMON SHAREHOLDERS' EQUITY (Details) (USD $)
In Millions, except Per Share data, unless otherwise specified
3 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Stockholders' Equity Note [Abstract]    
Stock Issued During Period, Shares, Acquisitions 15.3us-gaap_StockIssuedDuringPeriodSharesAcquisitions  
Common stock, shares authorized 265.0us-gaap_CommonStockSharesAuthorized  
Common stock, par value per share (in dollars per share) $ 0.10us-gaap_CommonStockParOrStatedValuePerShare  
Preferred stock, shares authorized 30.0us-gaap_PreferredStockSharesAuthorized  
Preferred stock, par value per share (in dollars per share) $ 0.10us-gaap_PreferredStockParOrStatedValuePerShare  
Preferred stock, shares outstanding 0us-gaap_PreferredStockSharesOutstanding  
Rollforward of common shares issued    
Common shares issued, beginning balance (in shares) 107.1us-gaap_CommonStockSharesIssued  
Common stock issued under employee stock plans (in shares) 0.6lh_CommonsStockIssuedDuringPeriodSharesEmployeeStockPlans  
Common shares issued, ending balance (in shares) 123.0us-gaap_CommonStockSharesIssued  
Rollforward of common shares held in treasury    
Common shares held in Treasury, beginning balance (in shares) (22.5)us-gaap_TreasuryStockNumberOfSharesHeld  
Common shares held in Treasury, ending balance (in shares) (22.5)us-gaap_TreasuryStockNumberOfSharesHeld  
Rollforward of common shares outstanding    
Common shares outstanding, beginning balance (in shares) 84.6us-gaap_CommonStockSharesOutstanding  
Common stock issued under employee stock plans (in shares) 0.6lh_CommonsStockIssuedDuringPeriodSharesEmployeeStockPlans  
Common shares outstanding, ending balance (in shares) 100.5us-gaap_CommonStockSharesOutstanding  
Rollforward of Share Repurchase Program    
Outstanding common stock repurchase authorization, beginning balance $ 789.5lh_CommonStockRepurchaseAuthorizationOutstanding  
Purchase of common stock $ 0us-gaap_StockRepurchasedDuringPeriodValue $ (107.7)us-gaap_StockRepurchasedDuringPeriodValue