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
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
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:
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.
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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.
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