Question

The product of four consecutive integers is divisible by 13 and 31? what are the four consecutive integers if the product is as small as possible?

Answer 1

Since we need four consecutive integers, we would need the LCM to be one of them.

`LCM = 13*31 = 403`

If we want the product to be as small as possible, we would have the other three integers be `400, 401, 402`.

Therefore, the four consecutive integers are `400, 401, 402, 403`.

Hopefully this helps!