What are the common multiples of 14 and 33?

Common multiples of 14 and 33 are numbers that both 14 and 33 can be divided into evenly with no remainder.

To find the common multiples of 14 and 33, we compare the list of multiples of 14 with the list of multiples of 33 to see what they have in common.

To create a list of multiples of 14, we multiply 14 by 1, 14 by 2, and so on like this:

14 x 1 = 14
14 x 2 = 28
14 x 3 = 42
14 x 4 = 56
...

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 14 and 33?"

462, 924, 1386, 1848, etc.

Since 462 is the first number they have in common, 462 is the least common multiple of 14 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 462 (the least common multiple), so you can continue the green list above with more common multiples of 14 and 33 by simply adding 462 to the last number on the list.

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What are the common multiples of 14 and 34?
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