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Question 7
If two positive integers p and q can be expressed as p =  ab2 and q=a3b; where a, b being prime numbers, then LCM (p, q) is equal to

A) ab
B) a2b2
C) a3b2
D) a3b3


Solution

The answer is C.
Given that, p=ab2=a×b×b
q=a3b=a×a×a×b
 LCM  of p and q  =  LCM (ab2,a3b)=a×a×a×b×b=a3b2
[LCM is the product of the greatest power of each prime factor involved in the numbers]

Mathematics

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