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# LCM of 52 and 38

The lcm of 52 and 38 is the smallest positive integer that divides the numbers 52 and 38 without a remainder. Spelled out, it is the least common multiple of 52 and 38. Here you can find the lcm of 52 and 38, along with a total of three methods for computing it.

988

In addition, we have a calculator you should check out. Not only can it determine the lcm of 52 and 38, but also that of three or more integers including fifty-two and thirty-eight for example. Keep reading to learn everything about the lcm (52,38) and the terms related to it.

## What is the LCM of 52 and 38

If you just want to know what is the least common multiple of 52 and 38, it is 988. Usually, this is written as

lcm(52,38) = 988

The lcm of 52 and 38 can be obtained like this:

• The multiples of 52 are … , 936, 988, 1040, ….
• The multiples of 38 are …, 950, 988, 1026, …
• The common multiples of 52 and 38 are n x 988, intersecting the two sets above, .
• In the intersection multiples of 52 ∩ multiples of 38 the least positive element is 988.
• Therefore, the least common multiple of 52 and 38 is 988.

Taking the above into account you also know how to find all the common multiples of 52 and 38, not just the smallest. In the next section we show you how to calculate the lcm of fifty-two and thirty-eight by means of two more methods.

## How to find the LCM of 52 and 38

The least common multiple of 52 and 38 can be computed by using the greatest common factor aka gcf of 52 and 38. This is the easiest approach:

lcm (52,38) = = 988

Alternatively, the lcm of 52 and 38 can be found using the prime factorization of 52 and 38:

• The prime factorization of 52 is: 2 x 2 x 13
• The prime factorization of 38 is: 2 x 19
• Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(52,52) = 988

In any case, the easiest way to compute the lcm of two numbers like 52 and 38 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 52,38. Push the button only to start over.

Similar searched terms on our site also include:

## Use of LCM of 52 and 38

What is the least common multiple of 52 and 38 used for? Answer: It is helpful for adding and subtracting fractions like 1/52 and 1/38. Just multiply the dividends and divisors by 19 and 26, respectively, such that the divisors have the value of 988, the lcm of 52 and 38.

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## Properties of LCM of 52 and 38

The most important properties of the lcm(52,38) are:

• Commutative property: lcm(52,38) = lcm(38,52)
• Associative property: lcm(52,38,n) = lcm(lcm(38,52),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 52 and 38 is 988. In common notation: lcm (52,38) = 988.

If you have been searching for lcm 52 and 38 or lcm 52 38 then you have come to the correct page, too. The same is the true if you typed lcm for 52 and 38 in your favorite search engine.

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

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