What are the common multiples of 43 and 75?

Common multiples of 43 and 75 are numbers that both 43 and 75 can be divided into evenly with no remainder.

To find the common multiples of 43 and 75, we compare the list of multiples of 43 with the list of multiples of 75 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 75, we multiply 75 by 1, 75 by 2, and so on like this:

75 x 1 = 75
75 x 2 = 150
75 x 3 = 225
75 x 4 = 300
...

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 75?"

3225, 6450, 9675, 12900, etc.

Since 3225 is the first number they have in common, 3225 is the least common multiple of 43 and 75.

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 3225 (the least common multiple), so you can continue the green list above with more common multiples of 43 and 75 by simply adding 3225 to the last number on the list.

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What are the common multiples of 43 and 76?
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