Question

Using the prime factor method, find the lcm of 32 and 44

Answer 1

32 = 2*2*2*2*2 = 2^5

44 = 2*2*11 = 2^2*11

We take common and non-common numbers with the highest exponent and we multiply them.

2^5*11 = 32*11 = 352.

Answer 2

lcm = 352

Explanation:

32 = 2 × 2 × 2 × 2 × 2 =
`2^(5)` ← product of prime factors

44 = 2 × 2 × 11 = 2² × 11 ← product of prime factors

lowest common multiple (lcm) =
`2^(5)` × 11 = 352