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

Ans

p=a2b3         q=a3b

haf=a2b

lcm=a3b3

to prove  {lcm][hcf]=p[q]

[a2b][a3b3]=[a2b3][a3b]

a5b4=a5b4

hence verified