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LCM of 28 and 25

The lcm of 28 and 25 is the smallest positive integer that divides the numbers 28 and 25 without a remainder. Spelled out, it is the least common multiple of 28 and 25. Here you can find the result for 28 and 25, along with a total of three methods for computing it.


700

This Least Common Multiple Calculator is Really Cool! Click To TweetYou should check out our calculator. Not only can it determine the outcome of 28 and 25, but also that of three or more integers including twenty-eight and twenty-five for example. Keep reading to learn everything about the lcm (28,25) and the terms related to it.

What is the Least Common Multiple of 28 and 25?

If you just want to know what is the least common multiple of 28 and 25, it is 700. Usually, this is written as

lcm(28,25) = 700


The lcm of 28 and 25 can be obtained like this:
  • The multiples of 28 are … , 672, 700, 728, ….
  • The multiples of 25 are …, 675, 700, 725, …
  • The common multiples of 28 and 25 are n x 700, intersecting the two sets above, .
  • In the intersection multiples of 28 ∩ multiples of 25 the least positive element is 700.
  • Therefore, the least common multiple of 28 and 25 is 700.

Taking the above into account you also know how to find all the common multiples of 28 and 25, not just the smallest. In the next section we show you how to calculate the lcm of twenty-eight and twenty-five by means of two more methods.

How to find the LCM of 28 and 25

The least common multiple of 28 and 25 can be computed by using the greatest common factor aka gcf of 28 and 25. This is the easiest approach:

lcm (28,25) = = 700



Alternatively, the lcm of 28 and 25 can be found using the prime factorization of 28 and 25:
  • The prime factorization of 28 is: 2 x 2 x 7
  • The prime factorization of 25 is: 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(28,28) = 700

In any case, the easiest way to compute the result for two numbers like 28 and 25 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 28,252,2. 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 28 and 25

What is the least common multiple of 28 and 25 used for? Answer: It is helpful for adding and subtracting fractions like 1/28 and 1/25. Just multiply the dividends and divisors by 25 and 28, respectively, such that the divisors have the value of 700, the lcm of 28 and 25.

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Next, we shed a light on the mathematical properties.

Properties of LCM of 28 and 25

The most important properties of the lcm(28,25) are:

  • Commutative property: lcm(28,25) = lcm(25,28)
  • Associative property: lcm(28,25,n) = lcm(lcm(25,28),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-eight / twenty-five 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