The lcm of 59 and 10 is the smallest positive integer that divides the numbers 59 and 10 without a remainder. Spelled out, it is the least common multiple of 59 and 10. Here you can find the lcm of 59 and 10, along with a total of three methods for computing it.
What is the LCM of 59 and 10
If you just want to know what is the least common multiple of 59 and 10, it is 590. Usually, this is written as
The lcm of 59 and 10 can be obtained like this:
- The multiples of 59 are … , 531, 590, 649, ….
- The multiples of 10 are …, 580, 590, 600, …
- The common multiples of 59 and 10 are n x 590, intersecting the two sets above,
- In the intersection multiples of 59 ∩ multiples of 10 the least positive element is 590.
- Therefore, the least common multiple of 59 and 10 is 590.
Taking the above into account you also know how to find all the common multiples of 59 and 10, not just the smallest. In the next section we show you how to calculate the lcm of fifty-nine and ten by means of two more methods.
How to find the LCM of 59 and 10
The least common multiple of 59 and 10 can be computed by using the greatest common factor aka gcf of 59 and 10. This is the easiest approach:
Alternatively, the lcm of 59 and 10 can be found using the prime factorization of 59 and 10:
- The prime factorization of 59 is: 59
- The prime factorization of 10 is: 2 x 5
- Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(59,59) = 590
In any case, the easiest way to compute the lcm of two numbers like 59 and 10 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 59,10. Push the button only to start over.
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Use of LCM of 59 and 10
What is the least common multiple of 59 and 10 used for? Answer: It is helpful for adding and subtracting fractions like 1/59 and 1/10. Just multiply the dividends and divisors by 10 and 59, respectively, such that the divisors have the value of 590, the lcm of 59 and 10.
Properties of LCM of 59 and 10
The most important properties of the lcm(59,10) are:
- Commutative property: lcm(59,10) = lcm(10,59)
- Associative property: lcm(59,10,n) = lcm(lcm(10,59),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 59 and 10 is 590. In common notation: lcm (59,10) = 590.
If you have been searching for lcm 59 and 10 or lcm 59 10 then you have come to the correct page, too. The same is the true if you typed lcm for 59 and 10 in your favorite search engine.
Note that you can find the least common multiple of many integer pairs including fifty-nine / ten by using the search form in the sidebar of this page.
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