Question: 32 is the lcm of 8 and?
Answer: The multiples of 32 are …, 0, 32, 64, … The common multiples of 8 and 32 are n x 32, intersecting the two sets above, n ϵ Z . In the intersection multiples of 8 ∩ multiples of 32 the least positive element is 32. Therefore, the least common multiple of 8 and 32 is 32.