What are the common multiples of 12 and 33?

Common multiples of 12 and 33 are numbers that both 12 and 33 can be divided into evenly with no remainder.

To find the common multiples of 12 and 33, we compare the list of multiples of 12 with the list of multiples of 33 to see what they have in common.

To create a list of multiples of 12, we multiply 12 by 1, 12 by 2, and so on like this:

12 x 1 = 12
12 x 2 = 24
12 x 3 = 36
12 x 4 = 48
...

Similarly, to create a list of multiples of 33, we multiply 33 by 1, 33 by 2, and so on like this:

33 x 1 = 33
33 x 2 = 66
33 x 3 = 99
33 x 4 = 132
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 12 and 33?"

132, 264, 396, 528, etc.

Since 132 is the first number they have in common, 132 is the least common multiple of 12 and 33.

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 132 (the least common multiple), so you can continue the green list above with more common multiples of 12 and 33 by simply adding 132 to the last number on the list.

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What are the common multiples of 12 and 34?
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