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Q.

If two positive integers p and q can be expressed as p=a b 2   and q= a 3 b;a,b   being prime numbers, then LCM(p,q)   is


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a

ab  

b

a 2 b 2  

c

a 3 b 2  

d

a 3 b 3   

answer is C.

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Detailed Solution

It is given that p and q are positive integers and p=a b 2   and q= a 3 b   .
Here the highest power of a is 3 and the highest power of b is 2.
Hence, LCM of p   and q   are a 3 b 2  .
Therefore, option 3 is correct.
 
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