Question

43. If two positive integers p and q can 1 point be expressed as p = ab^2 and q = a^3 b; where a, b being prime numbers, then LCM (p, q) is equal to doce O (a) ab O (b) ab2 Sb O (C) a^3b2 0 (d) a2b^3
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Answer 1

(b) 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