# LCM of 9 and 72

Are you struggling to find the LCM of 9 and 72? Look no further! In this article, we’ll walk you through the steps to find the least common multiple of these two numbers.

Firstly, let’s define LCM. The least common multiple is the smallest number that is a multiple of two or more given numbers. In this case, we’re looking for the LCM of 9 and 72.

To find the LCM of 9 and 72, we need to identify their prime factors. Prime factors are the factors that are only divisible by one and itself. For 9, its prime factor is 3, since 3 is the only number that can divide 9 without a remainder. For 72, we can divide it by 2 three times to get 2^{3} * 9. Therefore, the prime factors of 72 are {2, 2, 2, 3, 3}.

Now that we have the prime factors of both 9 and 72, we need to identify the highest power of each factor. In this case, the highest power of 2 is 2^{3}, and the highest power of 3 is 3^{2}. We don’t have any other prime factors to consider, so the LCM of 9 and 72 is simply the product of these highest powers: 2^{3} * 3^{2} = 72.

In conclusion, the **LCM of 9 and 72 is 72**. By understanding the concept of prime factorization and the method for finding LCM, you can easily find the LCM of any two numbers. We hope this article has been informative and helpful in your understanding of LCM of 9 and 72.

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