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LCM of 81 and 23

The lcm of 81 and 23 is the smallest positive integer that divides the numbers 81 and 23 without a remainder. Spelled out, it is the least common multiple of 81 and 23. Here you can find the result for 81 and 23, along with a total of three methods for computing it.


1863

This Least Common Multiple Calculator is Really Cool! Click To TweetYou should check out our calculator. Not only can it determine the outcome of 81 and 23, but also that of three or more integers including eighty-one and twenty-three for example. Keep reading to learn everything about the lcm (81,23) and the terms related to it.

What is the Least Common Multiple of 81 and 23?

If you just want to know what is the least common multiple of 81 and 23, it is 1863. Usually, this is written as

lcm(81,23) = 1863


The lcm of 81 and 23 can be obtained like this:
  • The multiples of 81 are … , 1782, 1863, 1944, ….
  • The multiples of 23 are …, 1840, 1863, 1886, …
  • The common multiples of 81 and 23 are n x 1863, intersecting the two sets above, .
  • In the intersection multiples of 81 ∩ multiples of 23 the least positive element is 1863.
  • Therefore, the least common multiple of 81 and 23 is 1863.

Taking the above into account you also know how to find all the common multiples of 81 and 23, not just the smallest. In the next section we show you how to calculate the lcm of eighty-one and twenty-three by means of two more methods.

How to find the LCM of 81 and 23

The least common multiple of 81 and 23 can be computed by using the greatest common factor aka gcf of 81 and 23. This is the easiest approach:

lcm (81,23) = = 1863



Alternatively, the lcm of 81 and 23 can be found using the prime factorization of 81 and 23:
  • The prime factorization of 81 is: 3 x 3 x 3 x 3
  • The prime factorization of 23 is: 23
  • Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(81,81) = 1863

In any case, the easiest way to compute the result for two numbers like 81 and 23 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 81,232,2. 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 81 and 23

What is the least common multiple of 81 and 23 used for? Answer: It is helpful for adding and subtracting fractions like 1/81 and 1/23. Just multiply the dividends and divisors by 23 and 81, respectively, such that the divisors have the value of 1863, the lcm of 81 and 23.

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Next, we shed a light on the mathematical properties.

Properties of LCM of 81 and 23

The most important properties of the lcm(81,23) are:

  • Commutative property: lcm(81,23) = lcm(23,81)
  • Associative property: lcm(81,23,n) = lcm(lcm(23,81),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-one / twenty-three 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