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