# What is the Least Common Multiple of 9 and 24?

The least common multiple of 9 and 24 is 72. To find the least common multiple, you need to find the multiples of both numbers, and then select the smallest number that is common to both. The multiples of 9 are 9, 18, 27, 36, 45, 54, 63, 72, etc., and the multiples of 24 are 24, 48, 72, 96, 120, etc. As you can see, the smallest number that appears in both lists is 72, so 72 is the least common multiple.

## Methods to find Least Common Multiple of 9 and 24

There are several methods for finding the least common multiple of 9 and 24. The first is to list out the multiples of each number and then select the smallest number that appears in both lists. The multiples of 9 are 9, 18, 27, 36, 45, etc., and the multiples of 24 are 24, 48, 72, 96, 120, etc. As you can see, the smallest number that appears in both lists is 72, so 72 is the least common multiple.

Another method for finding the least common multiple is to use the prime factorization of each number and then the product of the highest powers of the common prime factors. The prime factorization of 9 is 3 x 3 and the prime factorization of 24 is 2 x 2 x 2 x 3, so the least common multiple is 3 x 3 x 2 x 2 x 2 = 72.

Finally, you can use the division method, which involves dividing each number by the same number and then multiplying the quotients together. If you divide 9 by 3, you get 3, and if you divide 24 by 3 you get 8. The least common multiple is then 3 x 8 = 24.

## How to Find Least Common Multiple of 9 and 24?

To find the east Common Multiple of 9 and 24, you need to find the multiples of both numbers, and then select the smallest number that is common to both. The multiples of 9 are 9, 18, 27, 36, 45, 54, 63, 72, etc., and the multiples of 24 are 24, 48, 72, 96, 120, etc. As you can see, the smallest number that appears in both lists is 72, so 72 is the least common multiple.

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