Question: what is the least common multiple of 36 and 60 using prime factorization?
Answer: The prime factorization of 36 is: 2 x 2 x 3 x 3. The prime factorization of 60 is: 2 x 2 x 3 x 5. Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(36,36) = 180.