Question: what is the least common multiple of 24 and 36 using prime factorization?
Answer: The prime factorization of 24 is: 2 x 2 x 2 x 3. The prime factorization of 36 is: 2 x 2 x 3 x 3. Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(24,24) = 72.