How many integers between 100 and 300 have both 11 and 8 as factors?
To find the integers that have both 11 and 8 as factors, I need to find the multiples of 88, which is the least common multiple of 11 and 8. The smallest multiple of 88 that is greater than 100 is 2*88 = 176. The largest multiple, of 88 that is less than 300 is 3*88 = 264. So there are only two such integers, 176 and 264. 