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The **lcm of 2 and 7** is the smallest positive integer that divides the numbers 2 and 7 without a remainder. Spelled out, it is the least common multiple of 2 and 7. Here you can find the lcm of 2 and 7, along with a total of three methods for computing it.

14

## What is the LCM of 2 and 7

If you just want to know *what is the least common multiple of 2 and 7*, it is **14**. Usually, this is written as

**lcm(2,7) = 14**

The lcm of 2 and 7 can be obtained like this:

- The multiples of 2 are … , 12, 14, 16, ….
- The multiples of 7 are …, 7, 14, 21, …
- The
*common*multiples of 2 and 7 are n x 14, intersecting the two sets above,. - In the intersection multiples of 2 ∩ multiples of 7 the
*least*positive element is 14. - Therefore, the
**least common multiple of 2 and 7 is 14**.

Taking the above into account you also know how to find *all* the common multiples of 2 and 7, not just the smallest. In the next section we show you how to calculate the lcm of two and seven by means of two more methods.

## How to find the LCM of 2 and 7

The least common multiple of 2 and 7 can be computed by using the greatest common factor aka gcf of 2 and 7. This is the easiest approach:

Alternatively, the lcm of 2 and 7 can be found using the prime factorization of 2 and 7:

- The prime factorization of 2 is: 2
- The prime factorization of 7 is: 7
- Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(2,2) = 14

In any case, the easiest way to compute the lcm of two numbers like 2 and 7 is by using our calculator below. Note that it can also compute the lcm of more than two numbers, separated by a comma. For example, enter 2,7. Push the button only to start over.

Similar searched terms on our site also include:

## Use of LCM of 2 and 7

What is the least common multiple of 2 and 7 used for? Answer: It is helpful for adding and subtracting fractions like 1/2 and 1/7. Just multiply the dividends and divisors by 7 and 2, respectively, such that the divisors have the value of 14, the lcm of 2 and 7.

## Properties of LCM of 2 and 7

The most important properties of the lcm(2,7) are:

- Commutative property: lcm(2,7) = lcm(7,2)
- Associative property: lcm(2,7,n) = lcm(lcm(7,2),n)

The associativity is particularly useful to get the lcm of three or more numbers; our calculator makes use of it.

To sum up, the lcm of 2 and 7 is 14. In common notation: lcm (2,7) = 14.

If you have been searching for lcm 2 and 7 or lcm 2 7 then you have come to the correct page, too. The same is the true if you typed lcm for 2 and 7 in your favorite search engine.

Note that you can find the least common multiple of many integer pairs including two / seven by using the search form in the sidebar of this page.

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