Carter also notched a pair of assists, Dustin Brown scored twice and Richards found the net in the first period for Los Angeles, seeded fourth in the Western Conference.
Jonathan Quick made 24 saves in the victory.
The Stars ended Sunday with 48 points, three behind Columbus for the eighth and final post-season slot with three contests to play and a game in hand over the Blue Jackets.
Lehtonen finished with 27 saves.
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