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LCM of 8 and 22

The lcm of 8 and 22 is the smallest positive integer that divides the numbers 8 and 22 without a remainder. Spelled out, it is the least common multiple of 8 and 22. Here you can find the result for 8 and 22, along with a total of three methods for computing it.


88

This Least Common Multiple Calculator is Really Cool! Click To TweetYou should check out our calculator. Not only can it determine the outcome of 8 and 22, but also that of three or more integers including eight and twenty-two for example. Keep reading to learn everything about the lcm (8,22) and the terms related to it.

What is the Least Common Multiple of 8 and 22?

If you just want to know what is the least common multiple of 8 and 22, it is 88. Usually, this is written as

lcm(8,22) = 88


The lcm of 8 and 22 can be obtained like this:
  • The multiples of 8 are … , 80, 88, 96, ….
  • The multiples of 22 are …, 66, 88, 110, …
  • The common multiples of 8 and 22 are n x 88, intersecting the two sets above, .
  • In the intersection multiples of 8 ∩ multiples of 22 the least positive element is 88.
  • Therefore, the least common multiple of 8 and 22 is 88.

Taking the above into account you also know how to find all the common multiples of 8 and 22, not just the smallest. In the next section we show you how to calculate the lcm of eight and twenty-two by means of two more methods.

How to find the LCM of 8 and 22

The least common multiple of 8 and 22 can be computed by using the greatest common factor aka gcf of 8 and 22. This is the easiest approach:

lcm (8,22) = = 88



Alternatively, the lcm of 8 and 22 can be found using the prime factorization of 8 and 22:
  • The prime factorization of 8 is: 2 x 2 x 2
  • The prime factorization of 22 is: 2 x 11
  • Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(8,8) = 88

In any case, the easiest way to compute the result for two numbers like 8 and 22 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 8,222,2. 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 8 and 22

What is the least common multiple of 8 and 22 used for? Answer: It is helpful for adding and subtracting fractions like 1/8 and 1/22. Just multiply the dividends and divisors by 11 and 4, respectively, such that the divisors have the value of 88, the lcm of 8 and 22.

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Next, we shed a light on the mathematical properties.

Properties of LCM of 8 and 22

The most important properties of the lcm(8,22) are:

  • Commutative property: lcm(8,22) = lcm(22,8)
  • Associative property: lcm(8,22,n) = lcm(lcm(22,8),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 eight / twenty-two 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