Question

if two positive integers p and q are written as P is equals to a square b cube and qis equals to A cube B then A and B are prime numbers then verify LCM ( PQ) into HCF (PQ) is equals to PQ ​

Answer 1

In this p= b cube

q = a cube b

LCM of p and q = a cube b cube

HCF of p and q = b

verify

HCF × LCM = Product of two numbers

b × (ab)cube = b cube × a cube b

a cube b power 4 = a cube b power 4

hence verify