Question

The drama club meets in the school auditorium every 8 days, and the choir meets there every 6 days. If the groups are both meeting in the auditorium today, then how many days from now will they next have to share the auditorium?

Answer 1

You need to find the least common multiple of 8 and 6.

$8=2^3\\6=2\cdot3\\\\\text{lcm}(8,6)=2^3\cdot3=24$

Therefore, the answer is 24 days.