Question

Draw the prime factor trees for 42 and 66.

Use the prime factor trees to find the lowest common multiple (LCM) of
42 and 66.

Answer 1

To find the LCM of 42 and 66, we can draw their prime factor trees and multiply the highest power of each prime factor that appears in either factorization.

Step-by-step explanation:

To draw the prime factor trees for 42 and 66, we need to find the prime factors of each number. The prime factorization of 42 is 2 x 3 x 7, and the prime factorization of 66 is 2 x 3 x 11. To find the LCM of 42 and 66, we need to multiply the highest power of each prime factor that appears in either factorization. Therefore, the LCM of 42 and 66 is 2 x 3 x 7 x 11 = 462.