Xavier Pinson added 12 points for the Tigers (4-0), who trailed at halftime for the first time this season.
Blake Preston scored 12 points for the Flames (4-3), who led 32-28 at the half.
A pair of 8-0 runs had Liberty up 16-8 midway through the first half as both teams struggled to find the range. Liberty shot 41% and Missouri shot 43% but was just 1 of 9 from 3-point range. The Flames had five 3s.
Dru Smith opened the second half with a three-point play and Mark Smith made a free throw and a 3-pointer. Missouri couldn't put the Flames away until a Jeremiah Tilmon dunk, Mark Smith triple and Pinson layup stretched a six-point lead to 63-50 with 3:24 to go.
Mizzou shot 57% in the second half while Liberty went 2 of 13 behind the arc and shot 30%.
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