Livingston moved level on points with Premier Sports Cup Group H leaders Kilmarnock with a goal in each half against Brora Rangers.
Danny Wilson struck from close range to give Livi the lead just after the half-hour mark.
They had to wait until six minutes from time to fully see off the challenge of Highland League Brora, Zak Rudden netting with a header.
Both Killie and Livingston are three points above Kelty Hearts and East Fife while Brora Rangers are bottom on no points. Kilmarnock, Kelty and East Fife all have two games to play with Livi and Brora both have one more fixture.
David Martindale's side host Kelty Hearts next Saturday (15:00).
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