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# LCM of 12 and 66

The lcm of 12 and 66 is the smallest positive integer that divides the numbers 12 and 66 without a remainder. Spelled out, it is the least common multiple of 12 and 66. Here you can find the lcm of 12 and 66, along with a total of three methods for computing it.

132

In addition, we have a calculator you should check out. Not only can it determine the lcm of 12 and 66, but also that of three or more integers including twelve and sixty-six for example. Keep reading to learn everything about the lcm (12,66) and the terms related to it.

## What is the LCM of 12 and 66

If you just want to know what is the least common multiple of 12 and 66, it is 132. Usually, this is written as

lcm(12,66) = 132

The lcm of 12 and 66 can be obtained like this:

• The multiples of 12 are … , 120, 132, 144, ….
• The multiples of 66 are …, 66, 132, 198, …
• The common multiples of 12 and 66 are n x 132, intersecting the two sets above, .
• In the intersection multiples of 12 ∩ multiples of 66 the least positive element is 132.
• Therefore, the least common multiple of 12 and 66 is 132.

Taking the above into account you also know how to find all the common multiples of 12 and 66, not just the smallest. In the next section we show you how to calculate the lcm of twelve and sixty-six by means of two more methods.

## How to find the LCM of 12 and 66

The least common multiple of 12 and 66 can be computed by using the greatest common factor aka gcf of 12 and 66. This is the easiest approach:

lcm (12,66) = = 132

Alternatively, the lcm of 12 and 66 can be found using the prime factorization of 12 and 66:

• The prime factorization of 12 is: 2 x 2 x 3
• The prime factorization of 66 is: 2 x 3 x 11
• Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(12,12) = 132

In any case, the easiest way to compute the lcm of two numbers like 12 and 66 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 12,66. Push the button only to start over.

Similar searched terms on our site also include:

## Use of LCM of 12 and 66

What is the least common multiple of 12 and 66 used for? Answer: It is helpful for adding and subtracting fractions like 1/12 and 1/66. Just multiply the dividends and divisors by 11 and 2, respectively, such that the divisors have the value of 132, the lcm of 12 and 66.

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## Properties of LCM of 12 and 66

The most important properties of the lcm(12,66) are:

• Commutative property: lcm(12,66) = lcm(66,12)
• Associative property: lcm(12,66,n) = lcm(lcm(66,12),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 12 and 66 is 132. In common notation: lcm (12,66) = 132.

If you have been searching for lcm 12 and 66 or lcm 12 66 then you have come to the correct page, too. The same is the true if you typed lcm for 12 and 66 in your favorite search engine.

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

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