<span>The multiples of 6 are ... , 12, 18, 24, ....The multiples of 9 are ..., 9, 18, 27, ...<span>The common multiples of 6 and 9 are n x 18, intersecting the two sets above, <span><span>nϵZ</span><span>nϵZ</span></span>.</span><span>In the intersection multiples of 6 ∩ multiples of 9 the least positive element is 18.</span><span>Therefore, the least common multiple of 6 and 9 is 18.
From the website; http://times-table.net/lcm-of-6-and-9
