What are the common multiples of 75 and 69?

Common multiples of 75 and 69 are numbers that both 75 and 69 can be divided into evenly with no remainder.

To find the common multiples of 75 and 69, we compare the list of multiples of 75 with the list of multiples of 69 to see what they have in common.

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
...

Similarly, to create a list of multiples of 69, we multiply 69 by 1, 69 by 2, and so on like this:

69 x 1 = 69
69 x 2 = 138
69 x 3 = 207
69 x 4 = 276
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 75 and 69?"

1725, 3450, 5175, 6900, etc.

Since 1725 is the first number they have in common, 1725 is the least common multiple of 75 and 69.

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 1725 (the least common multiple), so you can continue the green list above with more common multiples of 75 and 69 by simply adding 1725 to the last number on the list.

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What are the common multiples of 75 and 70?
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