Question

if 2 positive integers are p=a square b cube and q=a cube b verify lcm*hcf=p*q

Answer 1

Step-by-step explanation:

Given p=a^2b^3

q=a^3b

HCF(p,q) = a^2b

LCM(p,q) =a^3b^3

HCF×LCM = Product of 2 numbers

Consider HCF×LCM= (a^2b)(a^3b^3)

=a^5b^4

Consider Product of 2 numbers

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

= a^5b^4

therefore, HCF×LCM = Produnct of 2 numbers