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The **lcm of 91 and 36** is the smallest positive integer that divides the numbers 91 and 36 without a remainder. Spelled out, it is the least common multiple of 91 and 36. Here you can find the result for 91 and 36, along with a total of three methods for computing it.

3276

## What is the Least Common Multiple of 91 and 36?

If you just want to know *what is the least common multiple of 91 and 36*, it is **3276**. Usually, this is written as

**lcm(91,36) = 3276**

The lcm of 91 and 36 can be obtained like this:

- The multiples of 91 are … , 3185, 3276, 3367, ….
- The multiples of 36 are …, 3240, 3276, 3312, …
- The
*common*multiples of 91 and 36 are n x 3276, intersecting the two sets above,. - In the intersection multiples of 91 ∩ multiples of 36 the
*least*positive element is 3276. - Therefore, the
**least common multiple of 91 and 36 is 3276**.

Taking the above into account you also know how to find *all* the common multiples of 91 and 36, not just the smallest. In the next section we show you how to calculate the lcm of ninety-one and thirty-six by means of two more methods.

## How to find the LCM of 91 and 36

The least common multiple of 91 and 36 can be computed by using the greatest common factor aka gcf of 91 and 36. This is the easiest approach:

Alternatively, the lcm of 91 and 36 can be found using the prime factorization of 91 and 36:

- The prime factorization of 91 is: 7 x 13
- The prime factorization of 36 is: 2 x 2 x 3 x 3
- Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(91,91) = 3276

In any case, the easiest way to compute the result for two numbers like 91 and 36 is by using our calculator above. Note that it can also compute the lcm of more than two numbers, separated by a comma. For example, enter 91,362,2. Push the button only to start over.

Similar searched terms on our site also include:

In the next paragraph we explain how the mathematical concept can be employed.

Keep reading – it’s really interesting.

## Use of Least Common Multiple of 91 and 36

What is the least common multiple of 91 and 36 used for? Answer: It is helpful for adding and subtracting fractions like 1/91 and 1/36. Just multiply the dividends and divisors by 36 and 91, respectively, such that the divisors have the value of 3276, the lcm of 91 and 36.

Next, we shed a light on the mathematical properties.

## Properties of LCM of 91 and 36

The most important properties of the lcm(91,36) are:

- Commutative property: lcm(91,36) = lcm(36,91)
- Associative property: lcm(91,36,n) = lcm(lcm(36,91),n)

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

## Summary

Note that you can find the least common multiple of many integer pairs including ninety-one / thirty-six by using the search form in the sidebar of this page.

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