When the greatest common divisor and least common multiple of two integers are multiplied, the product is 180. How many different values could be the sum of the two integers?
a b
180 1 90 2 60 3 45 4 36 5 30 6 20 9 18 10 15 12 12 15 10 18 9 20 6 30 5 36 4 45 3 60 2 90 1 180
Just count them and sum them up, if that is what they want!