What are the common multiples of 97 and 32?

Common multiples of 97 and 32 are numbers that both 97 and 32 can be divided into evenly with no remainder.

To find the common multiples of 97 and 32, we compare the list of multiples of 97 with the list of multiples of 32 to see what they have in common.

To create a list of multiples of 97, we multiply 97 by 1, 97 by 2, and so on like this:

97 x 1 = 97
97 x 2 = 194
97 x 3 = 291
97 x 4 = 388
...

Similarly, to create a list of multiples of 32, we multiply 32 by 1, 32 by 2, and so on like this:

32 x 1 = 32
32 x 2 = 64
32 x 3 = 96
32 x 4 = 128
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 97 and 32?"

3104, 6208, 9312, 12416, etc.

Since 3104 is the first number they have in common, 3104 is the least common multiple of 97 and 32.

Note: Our lists are shortened because they go on forever, but can you see the pattern when you look at the answer in green above? The common multiples are in intervals of 3104 (the least common multiple), so you can continue the green list above with more common multiples of 97 and 32 by simply adding 3104 to the last number on the list.

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What are the common multiples of 97 and 33?
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