# What Is the Least Common Multiple of 6 and 12?

Author Alan Stokes

Posted Sep 14, 2022

Reads 66

The least common multiple (LCM) of two integers is the smallest positive integer that is a multiple of both integers. The LCM of 6 and 12 is the smallest positive integer that is a multiple of both 6 and 12.

The LCM of 6 and 12 is 60.

The LCM of two integers is the smallest positive integer that is a multiple of both integers. In other words, the LCM is the smallest positive integer that is divisible by both integers.

The LCM of 6 and 12 is 60.

60 is divisible by 6 (60 ÷ 6 = 10), and 60 is divisible by 12 (60 ÷ 12 = 5).

Since 60 is the smallest positive integer that is divisible by both 6 and 12, the LCM of 6 and 12 is 60.

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

The smallest number that is a multiple of both 6 and 12 is 36.

36 is a multiple of 6 because it is evenly divisible by 6 (6 x 6). 36 is also a multiple of 12 because it is evenly divisible by 12 (3 x 12).

Since 36 is a multiple of both 6 and 12, it is the smallest number that is a multiple of both 6 and 12.

## What is the LCM of 6 and 12?

The lowest common multiple (LCM) of two integers is the smallest integer that is a multiple of both numbers.

In mathematics, the least common multiple, lowest common multiple, or smallest common multiple of two integers a and b, usually denoted by LCM(a, b), is the smallest positive integer that is divisible by both a and b.

Since division of integers by zero is undefined, this definition has meaning only if a and b are both different from zero. However, some authors define LCM(a,0) as 0 for all a, which is the result of taking the LCM(a,b) as the LCM(a,0) if b=0.

The LCM of 6 and 12 is 12.

## Frequently Asked Questions

### What is the smallest common multiples of 6 9 and 12?

The smallest common multiple of 6, 9, and 12 is 36.

### What is the LCM of 6 and 8?

The LCM of 6 and 8 is 24.

### What is the LCM of 6 and 12 using prime factorization?

The LCM of 6 and 12 is 12.

### What is the least common multiple of 12 and 6?

The least common multiple of 12 and 6 is 12.

### Which number is the smallest multiple of itself?

1

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