# 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?

##### 1 Answer

May 16, 2017

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

Therefore, the four consecutive integers are

Hopefully this helps!