LCM of 88 and 50


The lcm of 88 and 50 is the smallest positive integer that divides the numbers 88 and 50 without a remainder. Spelled out, it is the least common multiple of 88 and 50. Here you can find the lcm of 88 and 50, along with a total of three methods for computing it. In addition, we have a calculator you should check out. Not only can it determine the lcm of 88 and 50, but also that of three or more integers including eighty-eight and fifty for example. Keep reading to learn everything about the lcm (88,50) and the terms related to it.

What is the LCM of 88 and 50

If you just want to know what is the least common multiple of 88 and 50, it is 2200. Usually, this is written as

lcm(88,50) = 2200

The lcm of 88 and 50 can be obtained like this:

  • The multiples of 88 are …, 2112, 2200, 2288, ….
  • The multiples of 50 are …, 2150, 2200, 2250, …
  • The common multiples of 88 and 50 are n x 2200, intersecting the two sets above, $\hspace{3px}n \hspace{3px}\epsilon\hspace{3px}\mathbb{Z}$.
  • In the intersection multiples of 88 ∩ multiples of 50 the least positive element is 2200.
  • Therefore, the least common multiple of 88 and 50 is 2200.

Taking the above into account you also know how to find all the common multiples of 88 and 50, not just the smallest. In the next section we show you how to calculate the lcm of eighty-eight and fifty by means of two more methods.

How to find the LCM of 88 and 50

The least common multiple of 88 and 50 can be computed by using the greatest common factor aka gcf of 88 and 50. This is the easiest approach:

lcm (88,50) = $\frac{88 \times 50}{gcf(88,50)} = \frac{4400}{2}$ = 2200

Alternatively, the lcm of 88 and 50 can be found using the prime factorization of 88 and 50:

  • The prime factorization of 88 is: 2 x 2 x 2 x 11
  • The prime factorization of 50 is: 2 x 5 x 5
  • Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(88,88) = 2200

In any case, the easiest way to compute the lcm of two numbers like 88 and 50 is by using our calculator below. Note that it can also compute the lcm of more than two numbers, separated by a comma. For example, enter 88,50. Push the button only to start over.

The lcm is...
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Use of LCM of 88 and 50

What is the least common multiple of 88 and 50 used for? Answer: It is helpful for adding and subtracting fractions like 1/88 and 1/50. Just multiply the dividends and divisors by 25 and 44, respectively, such that the divisors have the value of 2200, the lcm of 88 and 50.

$\frac{1}{88} + \frac{1}{50} = \frac{25}{2200} + \frac{44}{2200} = \frac{69}{2200}$. $\hspace{30px}\frac{1}{88} – \frac{1}{50} = \frac{25}{2200} – \frac{44}{2200} = \frac{-19}{2200}$.

Properties of LCM of 88 and 50

The most important properties of the lcm(88,50) are:

  • Commutative property: lcm(88,50) = lcm(50,88)
  • Associative property: lcm(88,50,n) = lcm(lcm(50,88),n) $\hspace{10px}n\neq 0 \hspace{3px}\epsilon\hspace{3px}\mathbb{Z}$

The associativity is particularly useful to get the lcm of three or more numbers; our calculator makes use of it.

To sum up, the lcm of 88 and 50 is 2200. In common notation: lcm (88,50) = 2200.

If you have been searching for lcm 88 and 50 or lcm 88 50 then you have come to the correct page, too. The same is the true if you typed lcm for 88 and 50 in your favorite search engine.

Note that you can find the least common multiple of many integer pairs including eighty-eight / fifty by using the search form in the sidebar of this page.

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