Question

Sarah says that you can find the LCM of any two whole numbers by multiplying them together. Provide a counter example to show that Sarah's statement is incorrect

Answer 1

4·6 = 24 ≠ 12 = LCM(4, 6)

Explanation:

Any pair of numbers with a common factor will refute Sarah's conjecture.

One such pair is 4 and 6, which have a product of 24. The LCM of 4 and 6 is 12, which is that product divided by their common factor of 2.