Mitchell, a native of New Iberia, La., was selected with the 23rd pick of the first round. He is the first LSU player chosen in the first round since infielder Aaron Hill by Toronto in 2003.
Mitchell, who is No. 2 in the Southeastern Conference this season with 35 stolen bases, is hitting .325 (66-for-203) with 12 doubles, four triples, nine homers, 60 runs and 43 RBI. Mitchell, who has walked 52 times, leads the Tigers with a .471 on-base percentage.
Mitchell, also a wide receiver for the LSU football team, was drafted for the second time in his career. He was selected in the 10th round of the 2006 draft by the Minnesota Twins after his senior season at Westgate High School.
LeMahieu, who leads the Tigers with a .340 average, was selected 79th overall and he could potentially join two other former Tigers in the Cubs’ infield in Ryan Theriot and Mike Fontenot.
LeMahieu was selected out of high school by the Detroit Tigers in the 41st round in 2007, but due to his age he was draft eligible despite only being a true sophomore.
One of LSU's signees for 2010, Texas High School outfielder Slade Heathcott was selected six picks after Mitchell, No. 29 overall, by the New York Yankees.
The draft will resume at 11 a.m. today with rounds four through 30 and several Tigers are expected to go, including Blake Dean, Louis Coleman, Ryan Schimpf, along with signees Zach Von Rosenberg and Brody Colvin.