# LCM of 9 and 45

Looking for the LCM of 9 and 45? You’ve come to the right place! In this article, we’ll guide you through the process of finding the least common multiple between these two numbers.

Before we delve into the steps, let’s quickly define LCM. The least common multiple is the smallest positive integer that is divisible by both given numbers. Now, let’s proceed to finding the LCM of 9 and 45.

To determine the LCM, we’ll start by examining the prime factors of each number. Prime factors are the prime numbers that divide a given number without leaving a remainder. For 9, its prime factor is 3 since 3 is the only prime number that divides it evenly. For 45, we can divide it by 3 to obtain 3 * 15. Therefore, the prime factors of 45 are {3, 3, 5}.

Now that we have the prime factors, we need to identify the highest power of each factor. In this case, the highest power of 3 is 3^{2}, and the highest power of 5 is 5^{1}. Since we don’t have any other prime factors, the LCM of 9 and 45 is the product of these highest powers: 3^{2} * 5^^{1} = 9 * 5 = 45.

To summarize, the LCM of 9 and 45 is 45. By understanding the concept of prime factorization and following these steps, you can easily find the LCM of any two numbers. We hope this article has provided you with a clear understanding of how to calculate the LCM of 9 and 45 efficiently.

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