If p is a prime number then find the LCM of p - p 2 and p 3

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Standard X

Mathematics

The Fundamental Theorem of Arithmetic

If p is a pri...

Question

If p is a prime number then find the LCM of p,p²and p³

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Solution

Let us factorise the numbers.
p = p since p is a prime number
$p^{2}$ = p x p
$p^{3}$ = p x p x p
From above it is seen that LCM = p x p xp = $p^{3}$

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If p is a prime number then find the LCM of p,p​​​​​​2 and p​​​​​​3

Let us factorise the numbers. p = p since p is a prime number p2 = p x p p3= p x p x p From above it is seen that LCM = p x p xp = p3

If p is a prime number then find the LCM of p,p²and p³

Let us factorise the numbers.
p = p since p is a prime number
$p^{2}$ = p x p
$p^{3}$ = p x p x p
From above it is seen that LCM = p x p xp = $p^{3}$