Lafayette appeared off to a good start when J.J. Younger returned the opening kickoff 36 yards to midfield. But momentum turned on the first play from scrimmage when Julian Lynn sacked Sean O'Malley for a 7-yard loss, forced the fumble and Davis Maxie returned it 43 yards for the score.
Later, after a field goal and a 10-0 lead, Bragalone crashed in from a yard out with 6:42 still left in the first quarter. He scored from 3 yards out early in the third quarter and from 2 yards with 11:54 left to play to end the scoring.
O'Malley finished with 162 yards passing and an interception.
Bragalone finished his career at Lehigh with a program-record 53 touchdowns and became the program's all-time leading scorer. Andy Coen tied Bill Leckonby for the most career coaching wins in program history.
Both teams finished 3-8 overall and 2-4 in the Patriot League.
Saturday's contest marked the 154th game of college football's most-played rivalry.
Copyright 2018 by AP. Any commercial use or distribution without the express written consent of AP is strictly prohibited.