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LCM of 51 and 83

The lcm of 51 and 83 is the smallest positive integer that divides the numbers 51 and 83 without a remainder. Spelled out, it is the least common multiple of 51 and 83. Here you can find the result for 51 and 83, along with a total of three methods for computing it.


4233

This Least Common Multiple Calculator is Really Cool! Click To TweetYou should check out our calculator. Not only can it determine the outcome of 51 and 83, but also that of three or more integers including fifty-one and eighty-three for example. Keep reading to learn everything about the lcm (51,83) and the terms related to it.

What is the Least Common Multiple of 51 and 83?

If you just want to know what is the least common multiple of 51 and 83, it is 4233. Usually, this is written as

lcm(51,83) = 4233


The lcm of 51 and 83 can be obtained like this:
  • The multiples of 51 are … , 4182, 4233, 4284, ….
  • The multiples of 83 are …, 4150, 4233, 4316, …
  • The common multiples of 51 and 83 are n x 4233, intersecting the two sets above, .
  • In the intersection multiples of 51 ∩ multiples of 83 the least positive element is 4233.
  • Therefore, the least common multiple of 51 and 83 is 4233.

Taking the above into account you also know how to find all the common multiples of 51 and 83, not just the smallest. In the next section we show you how to calculate the lcm of fifty-one and eighty-three by means of two more methods.

How to find the LCM of 51 and 83

The least common multiple of 51 and 83 can be computed by using the greatest common factor aka gcf of 51 and 83. This is the easiest approach:

lcm (51,83) = = 4233



Alternatively, the lcm of 51 and 83 can be found using the prime factorization of 51 and 83:
  • The prime factorization of 51 is: 3 x 17
  • The prime factorization of 83 is: 83
  • Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(51,51) = 4233

In any case, the easiest way to compute the result for two numbers like 51 and 83 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 51,832,2. 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 51 and 83

What is the least common multiple of 51 and 83 used for? Answer: It is helpful for adding and subtracting fractions like 1/51 and 1/83. Just multiply the dividends and divisors by 83 and 51, respectively, such that the divisors have the value of 4233, the lcm of 51 and 83.

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Next, we shed a light on the mathematical properties.

Properties of LCM of 51 and 83

The most important properties of the lcm(51,83) are:

  • Commutative property: lcm(51,83) = lcm(83,51)
  • Associative property: lcm(51,83,n) = lcm(lcm(83,51),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-one / eighty-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