Home » Least Common Multiple » LCM of 2 and 12

LCM of 2 and 12

The lcm of 2 and 12 is the smallest positive integer that divides the numbers 2 and 12 without a remainder. Spelled out, it is the least common multiple of 2 and 12. Here you can find the result for 2 and 12, along with a total of three methods for computing it.


12

This Least Common Multiple Calculator is Really Cool! Click To TweetYou should check out our calculator. Not only can it determine the outcome of 2 and 12, but also that of three or more integers including two and twelve for example. Keep reading to learn everything about the lcm (2,12) and the terms related to it.

What is the Least Common Multiple of 2 and 12?

If you just want to know what is the least common multiple of 2 and 12, it is 12. Usually, this is written as

lcm(2,12) = 12


The lcm of 2 and 12 can be obtained like this:
  • The multiples of 2 are … , 10, 12, 14, ….
  • The multiples of 12 are …, 0, 12, 24, …
  • The common multiples of 2 and 12 are n x 12, intersecting the two sets above, .
  • In the intersection multiples of 2 ∩ multiples of 12 the least positive element is 12.
  • Therefore, the least common multiple of 2 and 12 is 12.

Taking the above into account you also know how to find all the common multiples of 2 and 12, not just the smallest. In the next section we show you how to calculate the lcm of two and twelve by means of two more methods.

How to find the LCM of 2 and 12

The least common multiple of 2 and 12 can be computed by using the greatest common factor aka gcf of 2 and 12. This is the easiest approach:

lcm (2,12) = = 12



Alternatively, the lcm of 2 and 12 can be found using the prime factorization of 2 and 12:
  • The prime factorization of 2 is: 2
  • The prime factorization of 12 is: 2 x 2 x 3
  • Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(2,2) = 12

In any case, the easiest way to compute the result for two numbers like 2 and 12 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 2,122,2. 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 2 and 12

What is the least common multiple of 2 and 12 used for? Answer: It is helpful for adding and subtracting fractions like 1/2 and 1/12. Just multiply the dividends and divisors by 6 and 1, respectively, such that the divisors have the value of 12, the lcm of 2 and 12.

. .

Next, we shed a light on the mathematical properties.

Properties of LCM of 2 and 12

The most important properties of the lcm(2,12) are:

  • Commutative property: lcm(2,12) = lcm(12,2)
  • Associative property: lcm(2,12,n) = lcm(lcm(12,2),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 two / twelve 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 2 and 12 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