The lcm of 55 and 82 is the smallest positive integer that divides the numbers 55 and 82 without a remainder. Spelled out, it is the least common multiple of 55 and 82. Here you can find the lcm of 55 and 82, along with a total of three methods for computing it.
What is the LCM of 55 and 82
If you just want to know what is the least common multiple of 55 and 82, it is 4510. Usually, this is written as
The lcm of 55 and 82 can be obtained like this:
- The multiples of 55 are … , 4455, 4510, 4565, ….
- The multiples of 82 are …, 4428, 4510, 4592, …
- The common multiples of 55 and 82 are n x 4510, intersecting the two sets above,
- In the intersection multiples of 55 ∩ multiples of 82 the least positive element is 4510.
- Therefore, the least common multiple of 55 and 82 is 4510.
Taking the above into account you also know how to find all the common multiples of 55 and 82, not just the smallest. In the next section we show you how to calculate the lcm of fifty-five and eighty-two by means of two more methods.
How to find the LCM of 55 and 82
The least common multiple of 55 and 82 can be computed by using the greatest common factor aka gcf of 55 and 82. This is the easiest approach:
Alternatively, the lcm of 55 and 82 can be found using the prime factorization of 55 and 82:
- The prime factorization of 55 is: 5 x 11
- 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(55,55) = 4510
In any case, the easiest way to compute the lcm of two numbers like 55 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 55,82. Push the button only to start over.
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Use of LCM of 55 and 82
What is the least common multiple of 55 and 82 used for? Answer: It is helpful for adding and subtracting fractions like 1/55 and 1/82. Just multiply the dividends and divisors by 82 and 55, respectively, such that the divisors have the value of 4510, the lcm of 55 and 82.
Properties of LCM of 55 and 82
The most important properties of the lcm(55,82) are:
- Commutative property: lcm(55,82) = lcm(82,55)
- Associative property: lcm(55,82,n) = lcm(lcm(82,55),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 55 and 82 is 4510. In common notation: lcm (55,82) = 4510.
If you have been searching for lcm 55 and 82 or lcm 55 82 then you have come to the correct page, too. The same is the true if you typed lcm for 55 and 82 in your favorite search engine.
Note that you can find the least common multiple of many integer pairs including fifty-five / eighty-two by using the search form in the sidebar of this page.
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