Question

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

Answer 1

Prime factorization:
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