Chris Braier, who hit 8 of 9 shots from the floor, scored a game-high 16 points and grabbed eight rebounds in only 17 minutes of action. Twenty players saw action for the Vikings, with 19 of them scoring. Lawrence improved to 7-0 on the season.
James Russo scored 14 points to pace Goucher, which fell to 0-9.
Lawrence broke the game open midway through the first half. The Vikings led 19-8 when they went on a 10-0 run, with Ben Klekamp scoring five of those points.
The Vikings outscored the Gophers 34-8 over the final 11:48 of the opening half and led 53-16 at the break.
Lawrence led by as many as 53 points three times in the second half.
Matt Osland had nine points for the Vikings, with Ryan Kroeger adding eight points and Doug Kadison chipping in with seven.
Lawrence takes on Vanguard Friday night at 8:00 p.m. Pacific time.