Question

if two positive integer p and q are written as p=a2b3 and q=a3b ; are prime number then verify LCM (p,q) ×HCF (p,q) =pq

Answer 1

The expaination to this is given in the attached file.

Hope this helps you...

Answer 2

Given : p = a^2 b^3 and q = q^3 b.

LCM (p, q) = a^3 b^3  

HCF (p, q) = a^2b

L.H.S = LCM (p, q) × HCF (p, q) = a^5 b^4

= (a^2 b^3) (a^3 b)

= pq

LCM (p, q) × HCF (p, q) = pq

L.H.S. = R.H.S.