Question

Using prime factorization, find the HCF and LCM of  36, 84 In case verify that HCF × LCM = product of given numbers.

Answer 1

Prime factorization:
36 = 2² × 3 
84 = 2² × 3 × 7
HCF = product of smallest power of each common prime factor in the numbers = 2² × 3 = 12
LCM = product of greatest power of each prime factor involved in the numbers = 2² × 3² × 7 = 252