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LCM of 89 and 88

The lcm of 89 and 88 is the smallest positive integer that divides the numbers 89 and 88 without a remainder. Spelled out, it is the least common multiple of 89 and 88. Here you can find the result for 89 and 88, along with a total of three methods for computing it.


7832

This Least Common Multiple Calculator is Really Cool! Click To TweetYou should check out our calculator. Not only can it determine the outcome of 89 and 88, but also that of three or more integers including eighty-nine and eighty-eight for example. Keep reading to learn everything about the lcm (89,88) and the terms related to it.

What is the Least Common Multiple of 89 and 88?

If you just want to know what is the least common multiple of 89 and 88, it is 7832. Usually, this is written as

lcm(89,88) = 7832


The lcm of 89 and 88 can be obtained like this:
  • The multiples of 89 are … , 7743, 7832, 7921, ….
  • The multiples of 88 are …, 7744, 7832, 7920, …
  • The common multiples of 89 and 88 are n x 7832, intersecting the two sets above, .
  • In the intersection multiples of 89 ∩ multiples of 88 the least positive element is 7832.
  • Therefore, the least common multiple of 89 and 88 is 7832.

Taking the above into account you also know how to find all the common multiples of 89 and 88, not just the smallest. In the next section we show you how to calculate the lcm of eighty-nine and eighty-eight by means of two more methods.

How to find the LCM of 89 and 88

The least common multiple of 89 and 88 can be computed by using the greatest common factor aka gcf of 89 and 88. This is the easiest approach:

lcm (89,88) = = 7832



Alternatively, the lcm of 89 and 88 can be found using the prime factorization of 89 and 88:
  • The prime factorization of 89 is: 89
  • 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(89,89) = 7832

In any case, the easiest way to compute the result for two numbers like 89 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 89,882,2. 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 89 and 88

What is the least common multiple of 89 and 88 used for? Answer: It is helpful for adding and subtracting fractions like 1/89 and 1/88. Just multiply the dividends and divisors by 88 and 89, respectively, such that the divisors have the value of 7832, the lcm of 89 and 88.

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Next, we shed a light on the mathematical properties.

Properties of LCM of 89 and 88

The most important properties of the lcm(89,88) are:

  • Commutative property: lcm(89,88) = lcm(88,89)
  • Associative property: lcm(89,88,n) = lcm(lcm(88,89),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 eighty-nine / 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