Question

Using prime factorization, find the HCF and LCM of 396, 1080.

Answer 1

Find Prime factors of 396 and 1080

396 = 2² × 3² × 11

1080 = 2³ × 3³ x 5

LCM (396, 1080) = 2³ × 3³ x 5 x 11 = 11880

HCF (396, 1080) = 2² × 3² = 36

Verification:

HCF x LCM = 11880 x 36 = 427680

Product of given numbers = 396 x 1080 = 427680

HCF x LCM = Product of given numbers

Verified.