The least common multiple (LCM) of 12 and 6 is 36.

The LCM is the smallest positive integer that is divisible by both 12 and 6.

36 is divisible by 12 (36 ÷ 12 = 3) and 6 (36 ÷ 6 = 6), so it is the LCM of 12 and 6.

## What is the smallest number that is a multiple of both 12 and 6?

What is the smallest number that is a multiple of both 12 and 6?

The smallest number that is a multiple of both 12 and 6 is 6.

6 is a multiple of both 12 and 6 because it can be divided evenly by both numbers.

6 is the smallest number that is a multiple of both 12 and 6 because it is the first number that can be divided evenly by both numbers.

12 and 6 are both divisible by 6, so 6 is a multiple of both 12 and 6.

## What is the LCM of 12 and 6?

The LCM of 12 and 6 is 36.

The LCM (lowest common multiple) of two numbers is the smallest number that is a multiple of both numbers. In other words, it is the smallest number that you can divide evenly into both numbers.

To find the LCM of 12 and 6, we need to find the smallest number that is a multiple of both 12 and 6. The first number that comes to mind is 12, but that is not correct because 6 does not go into 12 evenly. The next number is 18, but again, 6 does not go into 18 evenly. We keep going until we find the smallest number that is a multiple of both 12 and 6, which is 36.

36 is the LCM of 12 and 6 because it is the smallest number that is a multiple of both 12 and 6.

We can also find the LCM of 12 and 6 by using the prime factorization method. To do this, we first need to find the prime factorization of both numbers.

The prime factorization of 12 is 2 x 2 x 3.

The prime factorization of 6 is 2 x 3.

When we put the two prime factorizations together, we get 2 x 2 x 3 x 3, which can be simplified to 2 x 2 x 3 x 3 = 36.

So, the LCM of 12 and 6 is 36.

## Frequently Asked Questions

### What is the LCM of 6 12 and 18?

Prime Factorization of LCM (6, 12, 18) is (2 × 2 × 3) = 2 1 × 3 1.

### How to find the least common multiple of 12 and 6?

The least common multiple of 12 and 6 is 72.

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

The LCM of 12 and 30 is 60.

### What is the LCM of 6 and 12 in exponential form?

The LCM of 6 and 12 is 108.

### What is the LCM of 6 12 18 18 and 24?

LCM (6, 12, 18, 24) = 2 × 2 × 2 × 3 × 3 = 72

## Sources

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