Home » Least Common Multiple » LCM of 96 and 98

LCM of 96 and 98

The lcm of 96 and 98 is the smallest positive integer that divides the numbers 96 and 98 without a remainder. Spelled out, it is the least common multiple of 96 and 98. Here you can find the result for 96 and 98, along with a total of three methods for computing it.


4704

This Least Common Multiple Calculator is Really Cool! Click To TweetYou should check out our calculator. Not only can it determine the outcome of 96 and 98, but also that of three or more integers including ninety-six and ninety-eight for example. Keep reading to learn everything about the lcm (96,98) and the terms related to it.

What is the Least Common Multiple of 96 and 98?

If you just want to know what is the least common multiple of 96 and 98, it is 4704. Usually, this is written as

lcm(96,98) = 4704


The lcm of 96 and 98 can be obtained like this:
  • The multiples of 96 are … , 4608, 4704, 4800, ….
  • The multiples of 98 are …, 4606, 4704, 4802, …
  • The common multiples of 96 and 98 are n x 4704, intersecting the two sets above, .
  • In the intersection multiples of 96 ∩ multiples of 98 the least positive element is 4704.
  • Therefore, the least common multiple of 96 and 98 is 4704.

Taking the above into account you also know how to find all the common multiples of 96 and 98, not just the smallest. In the next section we show you how to calculate the lcm of ninety-six and ninety-eight by means of two more methods.

How to find the LCM of 96 and 98

The least common multiple of 96 and 98 can be computed by using the greatest common factor aka gcf of 96 and 98. This is the easiest approach:

lcm (96,98) = = 4704



Alternatively, the lcm of 96 and 98 can be found using the prime factorization of 96 and 98:
  • The prime factorization of 96 is: 2 x 2 x 2 x 2 x 2 x 3
  • The prime factorization of 98 is: 2 x 7 x 7
  • Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(96,96) = 4704

In any case, the easiest way to compute the result for two numbers like 96 and 98 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 96,982,2. 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 96 and 98

What is the least common multiple of 96 and 98 used for? Answer: It is helpful for adding and subtracting fractions like 1/96 and 1/98. Just multiply the dividends and divisors by 49 and 48, respectively, such that the divisors have the value of 4704, the lcm of 96 and 98.

. .

Next, we shed a light on the mathematical properties.

Properties of LCM of 96 and 98

The most important properties of the lcm(96,98) are:

  • Commutative property: lcm(96,98) = lcm(98,96)
  • Associative property: lcm(96,98,n) = lcm(lcm(98,96),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 ninety-six / ninety-eight by using the search form in the sidebar of this page.

Questions and comments are really appreciated. Use the form below or send us a mail to get in touch.

Please hit the sharing buttons if our article about the least common multiple of 96 and 98 has been useful to you, and make sure to bookmark our site.

If you have some time left check out the related sites and resources in the sidebar of this site.

Thanks for your visit.

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