Common Multiple Calculator

A common multiple is a multiple shared by two or more numbers.

Before we move on, let us remind ourselves what multiples are. When we add the value of a number to itself, we get the next multiples. Let's look at multiples of the number 3: we start with 3 and add to each successive number, 3. So, multiples are 3, 3+3 = 6, 6+3 = 9, and so on.

If you want to find the common multiples of 2 and 4:

1. Input 2 and 4 into our common multiples calculator.
2. Look at the list of multiples of 2: 2, 4, 6, 8, 10, 12,... and 4: 4, 8, 12, 16, 20,.....
3. Note the multiples that appear in both lists.
4. Now we see that 4, 8, and 12 are repeated in both lists, so the common multiple calculator informs you they are common multiples of 2 and 4.

🙋 Note that the subsequent common multiples are multiples of the first one, e.g. 8 and 12 are multiples of 4. You can easily find the complete list of common multiples if you know the first one 😎.

If we write out common multiples of numbers, the first of these is called the least common multiple. For example, look for the common multiple of the numbers 2 and 5:
Multiples of 2: 2, 4, 6, 8, 10, 12, 14,...
Multiples of 5: 5, 10, 15, 20,...
Common multiples of 2 and 5 are 10, 20, and so on. So the least common multiple of 2 and 5 will be the first number: 10.

We find common multiples of three numbers in the same way as above, but they must be multiples common to all the numbers. Let us find common multiples of 5, 6, and 10.

• Multiples of 5: 5, 10, 15, 20, 25, 30,...;
• Multiples of 6: 6, 12, 18, 24, 30, 36,...;
• Multiples of 10: 10, 20, 30, 40,..., and
• We see that the common multiples of 5, 6, and 10 are 30, 60, 90......

Common multiples are so vast and interesting that we decided to add much more to the topic. Check out our related tools:

• LCM calculator;
• Least common multiple calculator; and
• Least common factor calculator.