Question: what is the least common multiple of 18 and 45 using prime factorization?
Answer: Alternatively, the lcm of 18 and 45 can be found using the prime factorization of 18 and 45: The prime factorization of 18 is: 2 x 3 x 3. The prime factorization of 45 is: 3 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(18,18) = 90.