Question

if p is the prime number then what is the lcm of p,p^
2,pq

Answer 1

Given:

p is prime number.

To find:

the lcm of p, p2,p3.

Solution:

1) If p is a prime number it is very clear that the LCM of p, p² and p³ is p³

2) Let us take the example to prove the above statement .

3) Let p = 3, p² = 9 and p³ = 27.

4) LCM(3,9,27) = 27

Hence, the LCM of p, p² and p³ is p³.