Rhymes, a junior from Monroe, La. was chosen in the 30th round by the New York Yankees. Hanover, a senior from Kernersville, N.C., was selected in the 33rd round by the Detroit Tigers.
Rhymes, the 2012 SEC Player of the Year and a First-Team All-American, is leading the nation in hitting with a .452 (99-for-219) average. He has produced 11 doubles, four homers and 52 RBI this season.
Hanover is No. 10 in LSU career annals with 271 hits, and he is the Tigers' all-time leader in sacrifice bunts with 36. He is batting .288 (62-for-215) this season with 13 doubles, one homer and 28 RBI.
Also selected on Wednesday were LSU signees Will LaMarche (18th round, Minnesota) and Alex Bregman (29th round, Boston).
LSU first-team all-America pitcher Kevin Gausman was chosen in the first round on Monday by the Baltimore Orioles. Also selected on Monday in Compensatory Round A were LSU signees Joey Gallo (39th selection, Texas Rangers) and Jesmuel Valentin (51st selection, Los Angeles Dodgers).
Also selected on Tuesday was LSU signee Hayden Jennings, an outfielder from Evangel High School in Shreveport, La., who was chosen in the sixth round by the Washington Nationals.
LSU Draft Summary
LSU Players selected in the 2012 MLB Draft
Kevin Gausman, RHP 1st Round, Baltimore, 4th selection
Austin Nola, SS, 5th Round, Miami, 167th selection
Nick Goody, RHP, 6th Round, New York Yankees 217th selection
Raph Rhymes, OF, 30th Round, New York Yankees 937th selection
Tyler Hanover, 3B, 33rd Round, Detroit Tigers, 1024th selection
LSU Signees selected in the 2012 MLB Draft
Joey Gallo, INF/RHP Comp. Round A, Texas, 39th selection
Jesmuel Valentin, INF Comp. Round A, Los Angeles Dodgers 51st selection
Hayden Jennings, OF 6th Round, Washington, 204th selection
Will LaMarche, RHP 18th Round, Minnesota, 550th selection
Alex Bregman, INF 29th Round, Boston, 901st selection