Question

If two positive integers p and q are written as p=a2 b 3 and q=a3 b; a, b are prime numbers, then verify: lcm (p, q) × hcf (p, q) = pq.

Answer 1

LCM (p,q) = a3b3

HCF (p,q)= a2b

Verification:

LCM × HCF = pq

Subtitute the values

a3b3 × a2b= a2b3 ×a3b

a5b4= a5b4