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# LCM of 99 and 67

The lcm of 99 and 67 is the smallest positive integer that divides the numbers 99 and 67 without a remainder. Spelled out, it is the least common multiple of 99 and 67. Here you can find the lcm of 99 and 67, along with a total of three methods for computing it.

6633

In addition, we have a calculator you should check out. Not only can it determine the lcm of 99 and 67, but also that of three or more integers including ninety-nine and sixty-seven for example. Keep reading to learn everything about the lcm (99,67) and the terms related to it.

## What is the LCM of 99 and 67

If you just want to know what is the least common multiple of 99 and 67, it is 6633. Usually, this is written as

lcm(99,67) = 6633

The lcm of 99 and 67 can be obtained like this:

• The multiples of 99 are … , 6534, 6633, 6732, ….
• The multiples of 67 are …, 6566, 6633, 6700, …
• The common multiples of 99 and 67 are n x 6633, intersecting the two sets above, .
• In the intersection multiples of 99 ∩ multiples of 67 the least positive element is 6633.
• Therefore, the least common multiple of 99 and 67 is 6633.

Taking the above into account you also know how to find all the common multiples of 99 and 67, not just the smallest. In the next section we show you how to calculate the lcm of ninety-nine and sixty-seven by means of two more methods.

## How to find the LCM of 99 and 67

The least common multiple of 99 and 67 can be computed by using the greatest common factor aka gcf of 99 and 67. This is the easiest approach:

lcm (99,67) = = 6633

Alternatively, the lcm of 99 and 67 can be found using the prime factorization of 99 and 67:

• The prime factorization of 99 is: 3 x 3 x 11
• The prime factorization of 67 is: 67
• Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(99,99) = 6633

In any case, the easiest way to compute the lcm of two numbers like 99 and 67 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 99,67. Push the button only to start over.

Similar searched terms on our site also include:

## Use of LCM of 99 and 67

What is the least common multiple of 99 and 67 used for? Answer: It is helpful for adding and subtracting fractions like 1/99 and 1/67. Just multiply the dividends and divisors by 67 and 99, respectively, such that the divisors have the value of 6633, the lcm of 99 and 67.

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## Properties of LCM of 99 and 67

The most important properties of the lcm(99,67) are:

• Commutative property: lcm(99,67) = lcm(67,99)
• Associative property: lcm(99,67,n) = lcm(lcm(67,99),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 99 and 67 is 6633. In common notation: lcm (99,67) = 6633.

If you have been searching for lcm 99 and 67 or lcm 99 67 then you have come to the correct page, too. The same is the true if you typed lcm for 99 and 67 in your favorite search engine.

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

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