Question

if x is a prime number , lcm of x and it's successive number would be?​

Answer 1

Step-by-step explanation:

We know that,

2, 3, 5, 7……. are prime numbers.

Let us solve this question by substituting the above prime numbers.

If x = 2 then (x + 1) = 3

⇒ LCM of 2 and 3 = 2× 3 = x × (x + 1) = 6

If x = 3 then (x + 1) = 4

⇒ LCM of 3 and 4 = 3 × 4 = x × (x + 1) = 12

∴ If x is a prime number, LCM of x and its successive number = x(x + 1)

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Answer 2

Step-by-step explanation:

We know that,

2, 3, 5, 7……. are prime numbers.

Let us solve this question by substituting the above prime numbers.

If x = 2 then (x + 1) = 3

⇒ LCM of 2 and 3 = 2× 3 = x × (x + 1) = 6

If x = 3 then (x + 1) = 4

⇒ LCM of 3 and 4 = 3 × 4 = x × (x + 1) = 12

∴ If x is a prime number, LCM of x and its successive number = x(x + 1)