Premeau connected on 11 field goals, including one from beyond the arc and was 2-of-8 from the free throw line as the Highlanders got off to a good start to the 2012-13 campaign with a convincing win.
Dalton Johnson added 13 points, Jake McClung had eight, Tanner Allee finished with seven and Andrew Ritter chipped in two.
The Highlanders led 12-2 at the end of the first period and 29-11 at the half before building a 36-15 third-period advantage.
The Lady Highlanders cruised to a 47-18 win over St. Paul, completing the sweep for the homecoming crowd.
Eureka Springs led 12-2 at the end of the first quarter before a series of defensive breakdowns allowed the Lady Saints to crawl back in, trailing 20-10 at the half.
"We had tons of defensive breakdowns that put them on the free throw line and they scored points with the clock not moving," Eureka Springs coach Brian Rambo said. "That caused us to sub more than we wanted and got us out of our offensive rhythm."
The Lady Highlanders responded in the third quarter, outscoring St. Paul 21-6 to take a commanding 41-16 lead into the final stanza. The teams scored a combined eight points in the fourth.