Home » Least Common Multiple » LCM of 26 and 82

LCM of 26 and 82

The lcm of 26 and 82 is the smallest positive integer that divides the numbers 26 and 82 without a remainder. Spelled out, it is the least common multiple of 26 and 82. Here you can find the result for 26 and 82, along with a total of three methods for computing it.


1066

This Least Common Multiple Calculator is Really Cool! Click To TweetYou should check out our calculator. Not only can it determine the outcome of 26 and 82, but also that of three or more integers including twenty-six and eighty-two for example. Keep reading to learn everything about the lcm (26,82) and the terms related to it.

What is the Least Common Multiple of 26 and 82?

If you just want to know what is the least common multiple of 26 and 82, it is 1066. Usually, this is written as

lcm(26,82) = 1066


The lcm of 26 and 82 can be obtained like this:
  • The multiples of 26 are … , 1040, 1066, 1092, ….
  • The multiples of 82 are …, 984, 1066, 1148, …
  • The common multiples of 26 and 82 are n x 1066, intersecting the two sets above, .
  • In the intersection multiples of 26 ∩ multiples of 82 the least positive element is 1066.
  • Therefore, the least common multiple of 26 and 82 is 1066.

Taking the above into account you also know how to find all the common multiples of 26 and 82, not just the smallest. In the next section we show you how to calculate the lcm of twenty-six and eighty-two by means of two more methods.

How to find the LCM of 26 and 82

The least common multiple of 26 and 82 can be computed by using the greatest common factor aka gcf of 26 and 82. This is the easiest approach:

lcm (26,82) = = 1066



Alternatively, the lcm of 26 and 82 can be found using the prime factorization of 26 and 82:
  • The prime factorization of 26 is: 2 x 13
  • The prime factorization of 82 is: 2 x 41
  • Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(26,26) = 1066

In any case, the easiest way to compute the result for two numbers like 26 and 82 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 26,822,2. 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 26 and 82

What is the least common multiple of 26 and 82 used for? Answer: It is helpful for adding and subtracting fractions like 1/26 and 1/82. Just multiply the dividends and divisors by 41 and 13, respectively, such that the divisors have the value of 1066, the lcm of 26 and 82.

. .

Next, we shed a light on the mathematical properties.

Properties of LCM of 26 and 82

The most important properties of the lcm(26,82) are:

  • Commutative property: lcm(26,82) = lcm(82,26)
  • Associative property: lcm(26,82,n) = lcm(lcm(82,26),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 twenty-six / eighty-two by using the the search form in the sidebar of this page.

Questions and comments are really appreciated. Use the form below or send us a mail to get in touch.

Please hit the sharing buttons if our article about the least common multiple of 26 and 82 has been useful to you, and make sure to bookmark our site.

If you have some time left check out the related sites and resources in the sidebar of this site.

Thanks for your visit.

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