The third-ranked Vikings (19-0, 13-0 MWC) got 17 points and 17 rebounds from Braier, who added five steals and four assists. Hurley added 15 points and grabbed five boards.
Craig Boone and Geoff Owens led Illinois College (7-12, 3-9) with 12 points apiece.
Lawrence wasted little time in separating itself from the Blueboys. Ben Rosenblatt's 3-pointer with 15:26 left in the first half gave the Vikings a 15-5 edge.
Lawrence went on a 20-9 run from that point to lead 35-14 with 4:27 left in the opening half. The 21-point lead was Lawrence's biggest of the first half.
The Blueboys cut the lead to 16 at 43-27 on Owens' 3-pointer with 17:59 left in the game, but IC would get no closer.
Lawrence answered with a 13-4 run and led 56-31 with 13:31 left. The Vikings' biggest lead in the second half was 35 points at 85-50 on Jayce Apelgren's 3-pointer in the final minute.
Nineteen Vikings got into the game and 12 scored at least two points. Apelgren made the most of his five minutes of action by scoring eight points.
Lawrence is back in action at home on Wednesday when it hosts Beloit at 7:30 p.m.