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

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p-q

p+q

2p+q

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) ⇒ p q = LCM (p, q) × 1 ⇒ p q = LCM p, q ⇒ LCM p, q = p q

Therefore LCM of p and q is

p q .

Hence the correct option is 4.

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