The total number of integers that are multiples of both 15 and 8 is infinite. Here are the first few: 120, 240, 360, 480, 600, 720, 840, 960 . . .
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They are members of the infinitely large set comprising numbers of the form 120*k where k is an integer.
Common denominators of 8 and 15 are 120 and all its multiples.
They are the six multiples of 15.
All of the multiples of 8 are.
All multiples of 64 are multiples of 8.
Two common multiples of 21 and 15 are 105 and 315.