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LCM of 38 and 88

The lcm of 38 and 88 is the smallest positive integer that divides the numbers 38 and 88 without a remainder. Spelled out, it is the least common multiple of 38 and 88. Here you can find the result for 38 and 88, along with a total of three methods for computing it.


1672

This Least Common Multiple Calculator is Really Cool! Click To TweetYou should check out our calculator. Not only can it determine the outcome of 38 and 88, but also that of three or more integers including thirty-eight and eighty-eight for example. Keep reading to learn everything about the lcm (38,88) and the terms related to it.

What is the Least Common Multiple of 38 and 88?

If you just want to know what is the least common multiple of 38 and 88, it is 1672. Usually, this is written as

lcm(38,88) = 1672


The lcm of 38 and 88 can be obtained like this:
  • The multiples of 38 are … , 1634, 1672, 1710, ….
  • The multiples of 88 are …, 1584, 1672, 1760, …
  • The common multiples of 38 and 88 are n x 1672, intersecting the two sets above, .
  • In the intersection multiples of 38 ∩ multiples of 88 the least positive element is 1672.
  • Therefore, the least common multiple of 38 and 88 is 1672.

Taking the above into account you also know how to find all the common multiples of 38 and 88, not just the smallest. In the next section we show you how to calculate the lcm of thirty-eight and eighty-eight by means of two more methods.

How to find the LCM of 38 and 88

The least common multiple of 38 and 88 can be computed by using the greatest common factor aka gcf of 38 and 88. This is the easiest approach:

lcm (38,88) = = 1672



Alternatively, the lcm of 38 and 88 can be found using the prime factorization of 38 and 88:
  • The prime factorization of 38 is: 2 x 19
  • The prime factorization of 88 is: 2 x 2 x 2 x 11
  • Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(38,38) = 1672

In any case, the easiest way to compute the result for two numbers like 38 and 88 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 38,882,2. 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 38 and 88

What is the least common multiple of 38 and 88 used for? Answer: It is helpful for adding and subtracting fractions like 1/38 and 1/88. Just multiply the dividends and divisors by 44 and 19, respectively, such that the divisors have the value of 1672, the lcm of 38 and 88.

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Next, we shed a light on the mathematical properties.

Properties of LCM of 38 and 88

The most important properties of the lcm(38,88) are:

  • Commutative property: lcm(38,88) = lcm(88,38)
  • Associative property: lcm(38,88,n) = lcm(lcm(88,38),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 thirty-eight / eighty-eight by using the search form in the sidebar of this page.

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– Article written by Mark, last updated on August 8th, 2023