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LCM of 88 and 29

The lcm of 88 and 29 is the smallest positive integer that divides the numbers 88 and 29 without a remainder. Spelled out, it is the least common multiple of 88 and 29. Here you can find the result for 88 and 29, along with a total of three methods for computing it.


2552

This Least Common Multiple Calculator is Really Cool! Click To TweetYou should check out our calculator. Not only can it determine the outcome of 88 and 29, but also that of three or more integers including eighty-eight and twenty-nine for example. Keep reading to learn everything about the lcm (88,29) and the terms related to it.

What is the Least Common Multiple of 88 and 29?

If you just want to know what is the least common multiple of 88 and 29, it is 2552. Usually, this is written as

lcm(88,29) = 2552


The lcm of 88 and 29 can be obtained like this:
  • The multiples of 88 are … , 2464, 2552, 2640, ….
  • The multiples of 29 are …, 2523, 2552, 2581, …
  • The common multiples of 88 and 29 are n x 2552, intersecting the two sets above, .
  • In the intersection multiples of 88 ∩ multiples of 29 the least positive element is 2552.
  • Therefore, the least common multiple of 88 and 29 is 2552.

Taking the above into account you also know how to find all the common multiples of 88 and 29, not just the smallest. In the next section we show you how to calculate the lcm of eighty-eight and twenty-nine by means of two more methods.

How to find the LCM of 88 and 29

The least common multiple of 88 and 29 can be computed by using the greatest common factor aka gcf of 88 and 29. This is the easiest approach:

lcm (88,29) = = 2552



Alternatively, the lcm of 88 and 29 can be found using the prime factorization of 88 and 29:
  • The prime factorization of 88 is: 2 x 2 x 2 x 11
  • The prime factorization of 29 is: 29
  • Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(88,88) = 2552

In any case, the easiest way to compute the result for two numbers like 88 and 29 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 88,292,2. 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 88 and 29

What is the least common multiple of 88 and 29 used for? Answer: It is helpful for adding and subtracting fractions like 1/88 and 1/29. Just multiply the dividends and divisors by 29 and 88, respectively, such that the divisors have the value of 2552, the lcm of 88 and 29.

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Next, we shed a light on the mathematical properties.

Properties of LCM of 88 and 29

The most important properties of the lcm(88,29) are:

  • Commutative property: lcm(88,29) = lcm(29,88)
  • Associative property: lcm(88,29,n) = lcm(lcm(29,88),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 eighty-eight / twenty-nine 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