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Q.

If p and q are two prime numbers, then what is their LCM?


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a

p-q

b

p+q

c

2p+q

d

pq 

answer is D.

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Detailed Solution

Given two prime numbers p and q.
Prime numbers are those that have only two factors, one and the number itself.
The prime number's HCF is always 1.
Therefore, HCF (p, q) =  1
Product of two numbers = Product of their LCM and HCF
⇒p×q=LCM(p,q)×HCF(p,q) ⇒pq=LCM(p,q)×1 ⇒pq=LCM p,q ⇒LCM p,q =pq  
Therefore LCM of p and q is pq.  
Hence the correct option is 4.
 
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