Question

Using prime factorisation, find the HCF and LCM of 396, 1080. In case verify that HCF × LCM = product of given numbers.

Answer 1

Prime factorisation:

396 = 2² × 3² × 11

1080 = 2³ × 3³ × 5

HCF = product of smallest power of each common prime factor in the numbers = 2² × 3² = 36

LCM = product of greatest power of each prime factor involved in the numbers = 2³ × 3³ × 5 × 11 = 11880