Home » Least Common Multiple » LCM of 6 and 82

LCM of 6 and 82

  • by

The lcm of 6 and 82 is the smallest positive integer that divides the numbers 6 and 82 without a remainder. Spelled out, it is the least common multiple of 6 and 82. Here you can find the lcm of 6 and 82, along with a total of three methods for computing it.


246

This Least Common Multiple Calculator is Really Cool! Click To TweetIn addition, we have a calculator you should check out. Not only can it determine the lcm of 6 and 82, but also that of three or more integers including six and eighty-two for example. Keep reading to learn everything about the lcm (6,82) and the terms related to it.

What is the LCM of 6 and 82

If you just want to know what is the least common multiple of 6 and 82, it is 246. Usually, this is written as

lcm(6,82) = 246

The lcm of 6 and 82 can be obtained like this:

  • The multiples of 6 are … , 240, 246, 252, ….
  • The multiples of 82 are …, 164, 246, 328, …
  • The common multiples of 6 and 82 are n x 246, intersecting the two sets above, .
  • In the intersection multiples of 6 ∩ multiples of 82 the least positive element is 246.
  • Therefore, the least common multiple of 6 and 82 is 246.

Taking the above into account you also know how to find all the common multiples of 6 and 82, not just the smallest. In the next section we show you how to calculate the lcm of six and eighty-two by means of two more methods.

How to find the LCM of 6 and 82

The least common multiple of 6 and 82 can be computed by using the greatest common factor aka gcf of 6 and 82. This is the easiest approach:

lcm (6,82) = = 246

Alternatively, the lcm of 6 and 82 can be found using the prime factorization of 6 and 82:

  • The prime factorization of 6 is: 2 x 3
  • The prime factorization of 82 is: 2 x 41
  • Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(6,6) = 246

In any case, the easiest way to compute the lcm of two numbers like 6 and 82 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 6,82. Push the button only to start over.

Similar searched terms on our site also include:

Use of LCM of 6 and 82

What is the least common multiple of 6 and 82 used for? Answer: It is helpful for adding and subtracting fractions like 1/6 and 1/82. Just multiply the dividends and divisors by 41 and 3, respectively, such that the divisors have the value of 246, the lcm of 6 and 82.

. .

Properties of LCM of 6 and 82

The most important properties of the lcm(6,82) are:

  • Commutative property: lcm(6,82) = lcm(82,6)
  • Associative property: lcm(6,82,n) = lcm(lcm(82,6),n)

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 6 and 82 is 246. In common notation: lcm (6,82) = 246.

If you have been searching for lcm 6 and 82 or lcm 6 82 then you have come to the correct page, too. The same is the true if you typed lcm for 6 and 82 in your favorite search engine.

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

Questions and comments related to the lcm of 6 and 82 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 6 and 82 has been useful to you, and make sure to bookmark our site.

Thanks for your visit.