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LCM of 20 and 91

The lcm of 20 and 91 is the smallest positive integer that divides the numbers 20 and 91 without a remainder. Spelled out, it is the least common multiple of 20 and 91. Here you can find the result for 20 and 91, along with a total of three methods for computing it.


1820

This Least Common Multiple Calculator is Really Cool! Click To TweetYou should check out our calculator. Not only can it determine the outcome of 20 and 91, but also that of three or more integers including twenty and ninety-one for example. Keep reading to learn everything about the lcm (20,91) and the terms related to it.

What is the Least Common Multiple of 20 and 91?

If you just want to know what is the least common multiple of 20 and 91, it is 1820. Usually, this is written as

lcm(20,91) = 1820


The lcm of 20 and 91 can be obtained like this:
  • The multiples of 20 are … , 1800, 1820, 1840, ….
  • The multiples of 91 are …, 1729, 1820, 1911, …
  • The common multiples of 20 and 91 are n x 1820, intersecting the two sets above, .
  • In the intersection multiples of 20 ∩ multiples of 91 the least positive element is 1820.
  • Therefore, the least common multiple of 20 and 91 is 1820.

Taking the above into account you also know how to find all the common multiples of 20 and 91, not just the smallest. In the next section we show you how to calculate the lcm of twenty and ninety-one by means of two more methods.

How to find the LCM of 20 and 91

The least common multiple of 20 and 91 can be computed by using the greatest common factor aka gcf of 20 and 91. This is the easiest approach:

lcm (20,91) = = 1820



Alternatively, the lcm of 20 and 91 can be found using the prime factorization of 20 and 91:
  • The prime factorization of 20 is: 2 x 2 x 5
  • The prime factorization of 91 is: 7 x 13
  • Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(20,20) = 1820

In any case, the easiest way to compute the result for two numbers like 20 and 91 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 20,912,2. 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 20 and 91

What is the least common multiple of 20 and 91 used for? Answer: It is helpful for adding and subtracting fractions like 1/20 and 1/91. Just multiply the dividends and divisors by 91 and 20, respectively, such that the divisors have the value of 1820, the lcm of 20 and 91.

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Next, we shed a light on the mathematical properties.

Properties of LCM of 20 and 91

The most important properties of the lcm(20,91) are:

  • Commutative property: lcm(20,91) = lcm(91,20)
  • Associative property: lcm(20,91,n) = lcm(lcm(91,20),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 / ninety-one by using the the search form in the sidebar of this page.

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