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# LCM of 94 and 89

The lcm of 94 and 89 is the smallest positive integer that divides the numbers 94 and 89 without a remainder. Spelled out, it is the least common multiple of 94 and 89. Here you can find the lcm of 94 and 89, along with a total of three methods for computing it.

8366

In addition, we have a calculator you should check out. Not only can it determine the lcm of 94 and 89, but also that of three or more integers including ninety-four and eighty-nine for example. Keep reading to learn everything about the lcm (94,89) and the terms related to it.

## What is the LCM of 94 and 89

If you just want to know what is the least common multiple of 94 and 89, it is 8366. Usually, this is written as

lcm(94,89) = 8366

The lcm of 94 and 89 can be obtained like this:

• The multiples of 94 are … , 8272, 8366, 8460, ….
• The multiples of 89 are …, 8277, 8366, 8455, …
• The common multiples of 94 and 89 are n x 8366, intersecting the two sets above, .
• In the intersection multiples of 94 ∩ multiples of 89 the least positive element is 8366.
• Therefore, the least common multiple of 94 and 89 is 8366.

Taking the above into account you also know how to find all the common multiples of 94 and 89, not just the smallest. In the next section we show you how to calculate the lcm of ninety-four and eighty-nine by means of two more methods.

## How to find the LCM of 94 and 89

The least common multiple of 94 and 89 can be computed by using the greatest common factor aka gcf of 94 and 89. This is the easiest approach:

lcm (94,89) = = 8366

Alternatively, the lcm of 94 and 89 can be found using the prime factorization of 94 and 89:

• The prime factorization of 94 is: 2 x 47
• The prime factorization of 89 is: 89
• Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(94,94) = 8366

In any case, the easiest way to compute the lcm of two numbers like 94 and 89 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 94,89. Push the button only to start over.

Similar searched terms on our site also include:

## Use of LCM of 94 and 89

What is the least common multiple of 94 and 89 used for? Answer: It is helpful for adding and subtracting fractions like 1/94 and 1/89. Just multiply the dividends and divisors by 89 and 94, respectively, such that the divisors have the value of 8366, the lcm of 94 and 89.

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## Properties of LCM of 94 and 89

The most important properties of the lcm(94,89) are:

• Commutative property: lcm(94,89) = lcm(89,94)
• Associative property: lcm(94,89,n) = lcm(lcm(89,94),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 94 and 89 is 8366. In common notation: lcm (94,89) = 8366.

If you have been searching for lcm 94 and 89 or lcm 94 89 then you have come to the correct page, too. The same is the true if you typed lcm for 94 and 89 in your favorite search engine.

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

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