Question

(3) If a positive integer p and q are written as
a=p4 q5 and b=p2q3 where p and q are
numbers, then find H.C.f of (a, b) and L.C.M.
(a, b).​

Answer 1

Answer:

We know that a=p4q5 and b=p2q3

Therefore, HCF (Common) = p×p×q×q×q

=p2q3

Therefore, LCM = Common × Uncommon

= p2q3 × p2q2

= p4q5