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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The LCM of 16 and 32 is 32. Since 32 is a multiple of 16, it is automatically the LCM of the set.
The lowest common multiple of 16 and 20 is 80.
There is not a least common multiple of 32 because there cannot be a least common multiple without two or more numbers to compare. Common multiples are multiples that the numbers being compared have in common. Some multiples of 32 are 32, 64, 96, 128, 160, 192, 224, and 256. The least common multiple of 4 and 32 is 32. The least common multiple of 25 and 32 is 800. The least common multiple of 12 and 32 is 96.
The LCM of 4, 6 and 32 is 96.
1, 2, 4, 8, 16, 32