The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both of those numbers. The LCM of 10 and 12 is 60.

Multiples of 10 are 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, ... Multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, ...

The LCM of 10 and 12 is 60 because 60 is the smallest number that is a multiple of both 10 and 12. 60 is a multiple of 10 because 60 ÷ 10 = 6. 60 is a multiple of 12 because 60 ÷ 12 = 5.

## What is the greatest common factor of 10 and 12?

There are several methods that can be used to find the greatest common factor of 10 and 12. One method is to list the factors of each number and then find the largest number that is common to both lists. The factors of 10 are 1, 2, 5, and 10. The factors of 12 are 1, 2, 3, 4, 6, and 12. The greatest common factor of 10 and 12 is 2.

Another method is to use the prime factorization of each number. The prime factorization of 10 is 2 times 5. The prime factorization of 12 is 2 times 2 times 3. The greatest common factor of 10 and 12 is 2.

Yet another method is to use the greatest common divisor (GCD) formula. The GCD of two numbers is the largest number that will divide both numbers evenly. The GCD of 10 and 12 is 2.

The greatest common factor of 10 and 12 is 2.

## How do you find the least common multiple of two numbers?

To find the least common multiple (LCM) of two numbers, you first need to understand what a multiple is. A multiple is simply a number that is a product of two other numbers. So, the LCM of two numbers is the smallest multiple that is a product of those two numbers.

There are a few different ways that you can find the LCM of two numbers. One way is to list out the multiples of each number until you find a common multiple. For example, if you were finding the LCM of 6 and 8, you would list out the multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120. Then, you would list out the multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120. As you can see, the LCM of 6 and 8 is 24.

Another way to find the LCM of two numbers is to use the greatest common divisor (GCD) method. To do this, you would first find the GCD of the two numbers. The GCD is the **largest number that divides evenly** into both numbers. For example, the GCD of 6 and 8 is 2. Then, you would take the product of the two numbers and divide it by the GCD. So, in this example, you would take 6 x 8 and divide it by 2, which would give you 24.

You can also use a prime factorization method to find the LCM of two numbers. To do this, you would write out the prime factorization of each number. For example, the prime factorization of 6 is 2 x 3 and the prime factorization of 8 is 2 x 2 x 2. To find the LCM, you would take the product of each unique factor. So, in this example, you would take 2 x 3 x 2 x 2, which would give you 48.

No matter which method you use, finding the LCM of two numbers is a relatively simple process. By understanding what a multiple is and using one of the methods described above, you should be able to find the LCM of any two numbers.

## What is the LCM of 10 and 12?

What is the LCM of 10 and 12?

The LCM of 10 and 12 is 30. The LCM is the smallest positive integer that is divisible by both 10 and 12.

In mathematics, the least common multiple, or lowest common multiple, of two integers a and b, usually denoted by LCM(a, b), is the **smallest positive integer that is evenly divisible** by both a and b. For example, LCM(10,12) = 60.

The LCM of 10 and 12 is 30.

## What's the smallest number that is a multiple of both 10 and 12?

What's the smallest number that is a multiple of both 10 and 12?

The smallest number that is a multiple of both 10 and 12 is 120.

120 is a multiple of 10 because it is evenly divisible by 10. That is, 10 goes into 120 12 times with no remainder.

120 is also a multiple of 12 because it is evenly divisible by 12. That is, 12 goes into 120 10 times with no remainder.

Since 120 is a multiple of both 10 and 12, it is the smallest number that is a multiple of both 10 and 12.

## Frequently Asked Questions

### What are the first few multiples of 10 and 12?

What is the LCM of 10 and 12? The LCM of 10 and 12 is 24.

### What are the multiples of 8 10 and 12?

8, 10 and 12 are the LCM of 120.

### What does LCM mean in math?

The Least Common Multiple is the smallest positive integer that is evenly divisible by both a and b.

### What is the LCM of 12 and 30?

The LCM of 12 and 30 is 60.

### What is the LCM of 10 12 15 15 75?

LCM = 300