Muhammad was one of seven local players selected in the two rounds of the draft.
Snell, a 6-foot-7 guard who attended Riverside King High, played three seasons at New Mexico and averaged 12.5 points last season for the Lobos. Snell, a high school teammate of the San Antonio Spurs' Kawhi Leonard, was most valuable player of the Mountain West Conference tournament last spring.
The only other local player taken in the first round was Solomon Hill, an L.A. Fairfax High graduate. The Indiana Pacers selected Hill with the No. 23 overall pick in what was deemed a bit of a surprise.
Hill, a 6-7 forward who played at Arizona, averaged 13.4 points for the Wildcats last season.
The first pick of the second round also featured a local player as the Cleveland Cavaliers selected Allen Crabbe with the No. 31 pick. The Cavs later traded the rights to Crabbe to the Portland Trail Blazers for two future second-round picks.
Crabbe, a 6-6 shooting guard who played at L.A. Price High, was selected Pac-12 player of the year last season after averaging 18.4 points and 6.1 rebounds for California.
Another Arizona player was taken at No. 40 overall as Portland picked Grant Jerrett, a former high school star at La Verne Lutheran. Jerrett, a 6-10 forward, played one season at Arizona and averaged 5.2 points and 3.6 rebounds but was a high school All-American. Portland later traded Jerrett to the Oklahoma City Thunder for cash considerations.
The last local player to be taken in the Thursday's draft was Long Beach State's James Ennis, who was picked by the Atlanta Hawks at No. 50 but later traded to the Miami Heat, sources said. Ennis, a 6-7 forward who averaged 16.5 points last season for the 49ers and was the Big West Conference player of the year, is a product of Ventura High and Ventura College.