What Is the Least Common Multiple of 9 and 12?

The least common multiple (LCM) of 9 and 12 is 36.

We can find the LCM of 9 and 12 by listing the multiples of each number and finding the smallest number that appears on both lists:

Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99 Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120

The LCM of 9 and 12 is 36.

For another approach, see: What Are the Multiples of 15?

The greatest common factor of 9 and 12 is 3. This is because 3 is the largest number that 9 and 12 have in common. 3 is also the smallest number that 9 and 12 have in common.

If this caught your attention, see: What Is the Lcm of 3 and 12?

The least common multiple (LCM) of two numbers is the smallest number that is evenly divisible by both numbers. For example, the LCM of 10 and 15 is 30 because 30 is evenly divisible by 10 and 15, and there is no smaller number that is evenly divisible by 10 and 15.

To find the LCM of two numbers, you can use the Euclidean algorithm, which is a method for finding the greatest common divisor (GCD) of two numbers. The GCD of two numbers is the largest number that is evenly divisible by both numbers. For example, the GCD of 10 and 15 is 5 because 5 is the largest number that is evenly divisible by both 10 and 15.

The Euclidean algorithm is based on the fact that the GCD of two numbers also evenly divides the difference of the two numbers. For example, the GCD of 10 and 15 also evenly divides the difference of 10 and 15, which is 5.

To use the Euclidean algorithm to find the LCM of two numbers, follow these steps:

1. Find the GCD of the two numbers using the Euclidean algorithm. 2. Divide the GCD into the larger of the two numbers. 3. Multiply the result by the smaller of the two numbers. 4. The product is the LCM of the two numbers.

For example, to find the LCM of 10 and 15 using the Euclidean algorithm, follow these steps:

1. Find the GCD of 10 and 15. The GCD of 10 and 15 is 5. 2. Divide the GCD (5) into the larger number (15). 15 ÷ 5 = 3 3. Multiply the result (3) by the smaller number (10). 3 × 10 = 30 4. The product (30) is the LCM of 10 and 15.

Here's an interesting read: 1 12

The lowest common multiple (LCM) of 9 and 12 is 36.

To find the LCM of 9 and 12, we need to first find the greatest common factor (GCF) of 9 and 12. The GCF of 9 and 12 is 3. To find the LCM of 9 and 12, we need to multiply 9 and 12 by 3. The LCM of 9 and 12 is 36.

Here's an interesting read: What Is the Gcf of 9 and 18?

The smallest number that is a multiple of both 9 and 12 is 36. 36 is a multiple of 9 because 9 times 4 equals 36. 36 is a multiple of 12 because 12 times 3 equals 36. 36 is the smallest number that is a multiple of both 9 and 12.

Here's an interesting read: Equals 27

The LCM of 3 and 4 is 12.

The LCM (least common multiple) of 6 and 8 is 24.

The LCM is the smallest number that is a multiple of both 6 and 8. In other words, it is the smallest number that 6 and 8 will both divide evenly into.

To find the LCM, we can start by listing the multiples of 6 and 8:

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, ...

8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, ...

As we can see, the LCM of 6 and 8 is 24.

Curious to learn more? Check out: 8 12