Home » Least Common Multiple » LCM of 53 and 27

LCM of 53 and 27

The lcm of 53 and 27 is the smallest positive integer that divides the numbers 53 and 27 without a remainder. Spelled out, it is the least common multiple of 53 and 27. Here you can find the result for 53 and 27, along with a total of three methods for computing it.


1431

This Least Common Multiple Calculator is Really Cool! Click To TweetYou should check out our calculator. Not only can it determine the outcome of 53 and 27, but also that of three or more integers including fifty-three and twenty-seven for example. Keep reading to learn everything about the lcm (53,27) and the terms related to it.

What is the Least Common Multiple of 53 and 27?

If you just want to know what is the least common multiple of 53 and 27, it is 1431. Usually, this is written as

lcm(53,27) = 1431


The lcm of 53 and 27 can be obtained like this:
  • The multiples of 53 are … , 1378, 1431, 1484, ….
  • The multiples of 27 are …, 1404, 1431, 1458, …
  • The common multiples of 53 and 27 are n x 1431, intersecting the two sets above, .
  • In the intersection multiples of 53 ∩ multiples of 27 the least positive element is 1431.
  • Therefore, the least common multiple of 53 and 27 is 1431.

Taking the above into account you also know how to find all the common multiples of 53 and 27, not just the smallest. In the next section we show you how to calculate the lcm of fifty-three and twenty-seven by means of two more methods.

How to find the LCM of 53 and 27

The least common multiple of 53 and 27 can be computed by using the greatest common factor aka gcf of 53 and 27. This is the easiest approach:

lcm (53,27) = = 1431



Alternatively, the lcm of 53 and 27 can be found using the prime factorization of 53 and 27:
  • The prime factorization of 53 is: 53
  • The prime factorization of 27 is: 3 x 3 x 3
  • Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(53,53) = 1431

In any case, the easiest way to compute the result for two numbers like 53 and 27 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 53,272,2. 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 53 and 27

What is the least common multiple of 53 and 27 used for? Answer: It is helpful for adding and subtracting fractions like 1/53 and 1/27. Just multiply the dividends and divisors by 27 and 53, respectively, such that the divisors have the value of 1431, the lcm of 53 and 27.

. .

Next, we shed a light on the mathematical properties.

Properties of LCM of 53 and 27

The most important properties of the lcm(53,27) are:

  • Commutative property: lcm(53,27) = lcm(27,53)
  • Associative property: lcm(53,27,n) = lcm(lcm(27,53),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 fifty-three / twenty-seven by using 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 53 and 27 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