Lisch, a senior guard, led all scorers with 27 points. He added nine rebounds, three assists and three steals in 52 minutes. His 3-pointer with 0.2 seconds left in the second overtime period, after he stepped through two defenders, was one of his five 3-pointers on the day.
Mitchell, who has established himself as the best of the Billikens' freshman class, finished with 23 points and eight rebounds, both career highs, in 50 minutes. He knocked down eight of 12 free throws.
Senior guard Tommie Liddell III had nine points and 10 rebounds in 50 minutes. Freshman forward Willie Reed added nine points and 10 rebounds, including seven offensive boards. Senior forward Barry Eberhardt had nine points off the bench.
Saint Louis improved to 14-9 overall and 5-4 in the Atlantic 10.
The Billikens trailed 58-52 with 3 minutes, 7 seconds left in regulation, but were able to hold Richmond (11-12, 3-5) scoreless the rest of regulation to send the game into overtime.
Saint Louis trailed 31-29 at halftime, but outscored Richmond 29-27 in the second half. SLU shot 52.2 percent in the second half (12 of 23) and 50 percent (30 of 60) for the game.
The Spiders were led by 19 points from David Gonzalves. Kevin Smith added 17, while Ryan Butler had 11 and Kevin Anderson had 10. Richmond shot just 37.9 percent (25 of 66) for the game and were 21.4 percent (six of 28) from beyond the 3-point line.
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