Question

Using prime factorisation, find the HCF and LCM of 144, 198. In case verify that HCF × LCM = product of given numbers.

Answer 1

Prime factorisation:

144 = 2⁴ × 3²

198 = 2 × 3² × 11

HCF = product of smallest power of each common prime factor in the numbers

= 2 × 3²

= 18

LCM = product of greatest power of each prime factor involved in the numbers

= 2⁴ × 3² × 11

= 1584