Which choice shows how to find the least common multiple of 9 and 42 through prime factorization?
9 ⟶ 3 × 3
42 ⟶ 2 × 3 × 7
LCM: 2 × 3 × 3 × 7 = 126

9 ⟶ 3 × 3
42 ⟶ 2 × 3 × 7
LCM: 3 × 3 × 2 × 3 × 7 = 378

9 ⟶ 3 × 3
42 ⟶ 2 × 3 × 7
LCM: 3

9 ⟶ 3 × 3
42 ⟶ 2 × 3 × 7
LCM: 2 × 3 × 7 = 42

Question

Which choice shows how to find the least common multiple of 9 and 42 through prime factorization?
9 ⟶ 3 × 3
42 ⟶ 2 × 3 × 7
LCM: 2 × 3 × 3 × 7 = 126

9 ⟶ 3 × 3
42 ⟶ 2 × 3 × 7
LCM: 3 × 3 × 2 × 3 × 7 = 378

9 ⟶ 3 × 3
42 ⟶ 2 × 3 × 7
LCM: 3

9 ⟶ 3 × 3
42 ⟶ 2 × 3 × 7
LCM: 2 × 3 × 7 = 42

Quizzma Team · Answer

The correct choice is: 9 ⟶ 3 × 3 42 ⟶ 2 × 3 × 7 LCM: 2 × 3 × 3 × 7 = 126 Explanation: To find the least common multiple (LCM) using prime factorization, you take each prime factor from both numbers at their highest power. In this case, we include 2 (from 42), 3 (the highest power is (3^2) from 9), and 7 (from 42). So, the LCM is calculated as (2^1 × 3^2 × 7^1 = 2 × 3 × 3 × 7 = 126).

1 Answer