What are the common multiples of 43 and 34?

Common multiples of 43 and 34 are numbers that both 43 and 34 can be divided into evenly with no remainder.

To find the common multiples of 43 and 34, we compare the list of multiples of 43 with the list of multiples of 34 to see what they have in common.

To create a list of multiples of 43, we multiply 43 by 1, 43 by 2, and so on like this:

43 x 1 = 43
43 x 2 = 86
43 x 3 = 129
43 x 4 = 172
...

Similarly, to create a list of multiples of 34, we multiply 34 by 1, 34 by 2, and so on like this:

34 x 1 = 34
34 x 2 = 68
34 x 3 = 102
34 x 4 = 136
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 43 and 34?"

1462, 2924, 4386, 5848, etc.

Since 1462 is the first number they have in common, 1462 is the least common multiple of 43 and 34.

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 1462 (the least common multiple), so you can continue the green list above with more common multiples of 43 and 34 by simply adding 1462 to the last number on the list.

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What are the common multiples of 43 and 35?
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