LC (7-3, 2-0 ODAC) scored the initial 20 goals of the game before Stephen LaTona scored unassisted for SU (5-6, 1-2) at the 6:27 mark of the third.
Lynchburg outshot its visitors 61-18, had a 50-24 advantage in groundballs and won 23 of 30 faceoffs.
Shenandoah continues its difficult schedule this Wednesday when it hosts No. 18 Roanoke in a 7:00 ODAC contest. This game is the second half of an ODAC doubleheader with the SU women, who host Bridgewater at 4.