LCM: 12

## FAQs & How-to's

#### What is this calculator for?

This calculator finds the least common multiple (LCM) of a set of integers. It can be used to find it for two or more numbers.

#### Can I embed this on my website?

Sure. Embedding is allowed as long as you promise to follow our conditions. Here's the embed code:

 <iframe width="415" height="220" src="http://www.a-calculator.com/lcm/embed.html" frameborder="0" allowtransparency="true"></iframe> 

#### How do I find the least common multiple by hand?

Here's an example. To find the least common multiple of 4 and 6 we could list the multiples of each of them:

• The multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40...
• The multiples of 6 are 6, 12, 18, 24, 30, 36...
Now we can see that 4 and 6 have the divisors 12, 24, 36 (and so on) in common, but 12 is the lowest. Therefore the least common multiple of 4 and 6 is 12.

Another common technique is to use the greatest common divisor $$\def\myfunc{\text{lcm}}$$ $$\myfunc(a, b) = \frac{|a \times b|}{\gcd(a, b)}.$$ To apply it to three numbers $$a, b$$ and $$c$$ you can simply use $$\myfunc(a, \myfunc(b, c))$$.