Question

if two positive integers p and q can be expressed as p=ab² and q=a³b; a,b being prime no., then LCM (p,q) is....​

Answer 1

ur answer is a³b²

p = a × b × b

q = a × a × a × b

Since L.C.M is the product of the greatest power of each prime factor involved in the numbers.

Therefore, L.C.M of p and q = a³b²

Answer 2

ANSWER -

Given that, p = ab2 = a × b × b

and q = a3b = a × a × a × b

∴ LCM of p and q = LCM (ab2,a3b) = a × b × b × a × a = a3b2

Since, LCM is the product of the greatest power of each prime factor involved in the numbers

Hope it help you

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