If P is a prime number, then the LCM of P and its successive number would be:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e P(P + 1).
Let the prime number be P.
Its successive number is P + 1.
Since P is a prime number and P + 1 is consecutive to it, they have no common factors other than 1 (they are co-prime).
So,
LCM of P and P + 1 = P × (P + 1)