What are the common multiples of 64 and 75?

Common multiples of 64 and 75 are numbers that both 64 and 75 can be divided into evenly with no remainder.

To find the common multiples of 64 and 75, we compare the list of multiples of 64 with the list of multiples of 75 to see what they have in common.

To create a list of multiples of 64, we multiply 64 by 1, 64 by 2, and so on like this:

64 x 1 = 64
64 x 2 = 128
64 x 3 = 192
64 x 4 = 256
...

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 64 and 75?"

4800, 9600, 14400, 19200, etc.

Since 4800 is the first number they have in common, 4800 is the least common multiple of 64 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 4800 (the least common multiple), so you can continue the green list above with more common multiples of 64 and 75 by simply adding 4800 to the last number on the list.

Common Multiples Calculator
Need another answer? Get common multiples here:

What are the common multiples of 64 and 76?
Did you find our explanation and solution to "Common Multiples of 64 and 75" helpful? If so, try the next problem on our list here.