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Question

If two positive ingeters a and b are expressible in the form a = pq2 and b = p3q; p, q being prime number, then LCM (a, b) is

(a) pq
(b) p3q3
(c) p3q2
(d) p2q2

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Solution

Two positive integers are expressed as follows:

p and q are prime numbers.

Then, taking the highest powers of p and q in the values for a and b we get:

LCM

Hence the correct choice is (c).


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