# What is the Least Common Multiple of 9 and 4?

The LCM of 9 and 4 is 36. To find the LCM, the prime factorization method is used. First, find the prime factors of each given number. For 9, the prime factor is 3, and for 4, the prime factor is 2. Then, list all the prime numbers found, as many times as they occur most often in either number. In this case, the prime factors are 2 and 3. To find the LCM, multiply the prime factors together. So, 2 × 3 = 6, and 6 × 6 = 36. The LCM of 9 and 4 is 36.

## How to Find Least Common Multiple of 9 and 4?

To find the LCM of two or more numbers, we can also use the listing multiples method. This requires us to list out the multiples of each number and then find the smallest multiple that is common to all the numbers. For example, if we want to find the LCM of 9 and 4, we need to list out the multiples of 9 and multiples of 4 : 9: 9, 18, 27, 36, 45, 54, 63, 72… 4: 4, 8, 12, 16, 20, 24, 28, 32… From the list, we can see that the smallest multiple that is common to both numbers is 36. Thus, the LCM of 9 and 4 is 36.

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