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If two positive integers p and q are written as p = a^2 b^3 and q = a^3 b, where a and b are prime numbers than verify.

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If two positive integers p and q are written as p = a2 b3 and q = a3 b, where a and b are prime numbers than verify.

LCM (p, q) x HCF (p, q) = p.q.

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LCM (p, q) = a3b3

and HCF(P, q) = a2b

LCM(p, q) x HCF(p, q) =  a3b3 x a3b

= a5b4 

=  a2b3 x a3b

= pq

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