The Keydets (7-4), who came in with the No. 2-ranked offense in Division I (95.1 points per game) shot 71 percent (22 for 31) in the second half after leading 55-41 at halftime.
Kenon made 7 of 13 shots from 3-point range, including 5 of 9 in the first half, in which he finished with 17 points.
The Keydets, who rank second nationally in 3-pointers made with 11 per game, made 15 of 34 behind the arc against the Lancers (3-7).
The victory was the 76th for coach Duggar Baucom in five seasons at VMI, breaking a tie with Charlie Schmaus for third on the Keydets' all-time list.