There is really no such thing as a "greatest common multiple". Once you find the least common multiple of a set of numbers, you can keep adding the LCM to itself over and over again. Each new number you get will be a common multiple of your set of numbers, but each new number will always be larger than the previous. This means that you can keep adding while the number approaches infinity and you will still never find a greatest multiple.
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They are: 4 and 24 respectively
The greatest common multiple of any set of integers is infinite.
The greatest common multiple is an infinite term and not very practical for problem solving.
Answer: Infinity or there is none. One common multiple of 8 and 28 is 224. If I double it, which is 448, I have a larger common multiple. If I double it again, which is 896, I have an even larger common multiple. I can continue doubling it forever, so there is no greatest common multiple, or it can be said to be infinite.
8 and 48