# LCM of 2 and 10

The lcm of 2 and 10 is the smallest positive integer that divides the numbers 2 and 10 without a remainder. Spelled out, it is the least common multiple of 2 and 10. Here you can find the lcm of 2 and 10, along with a total of three methods for computing it. In addition, we have a calculator you should check out. Not only can it determine the lcm of 2 and 10, but also that of three or more integers including two and ten for example. Keep reading to learn everything about the lcm (2,10) and the terms related to it.

## What is the LCM of 2 and 10

If you just want to know what is the least common multiple of 2 and 10, it is 10. Usually, this is written as

lcm(2,10) = 10

The lcm of 2 and 10 can be obtained like this:

• The multiples of 2 are …, 8, 10, 12, ….
• The multiples of 10 are …, 0, 10, 20, …
• The common multiples of 2 and 10 are n x 10, intersecting the two sets above, $\hspace{3px}n \hspace{3px}\epsilon\hspace{3px}\mathbb{Z}$.
• In the intersection multiples of 2 ∩ multiples of 10 the least positive element is 10.
• Therefore, the least common multiple of 2 and 10 is 10.

Taking the above into account you also know how to find all the common multiples of 2 and 10, not just the smallest. In the next section we show you how to calculate the lcm of two and ten by means of two more methods.

## How to find the LCM of 2 and 10

The least common multiple of 2 and 10 can be computed by using the greatest common factor aka gcf of 2 and 10. This is the easiest approach:

lcm (2,10) = $\frac{2 \times 10}{gcf(2,10)} = \frac{20}{2}$ = 10

Alternatively, the lcm of 2 and 10 can be found using the prime factorization of 2 and 10:

• The prime factorization of 2 is: 2
• 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(2,2) = 10

In any case, the easiest way to compute the lcm of two numbers like 2 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 2,10. Push the button only to start over.

The lcm is...
Similar searched terms on our site also include:

## Use of LCM of 2 and 10

What is the least common multiple of 2 and 10 used for? Answer: It is helpful for adding and subtracting fractions like 1/2 and 1/10. Just multiply the dividends and divisors by 5 and 1, respectively, such that the divisors have the value of 10, the lcm of 2 and 10.

$\frac{1}{2} + \frac{1}{10} = \frac{5}{10} + \frac{1}{10} = \frac{6}{10}$. $\hspace{30px}\frac{1}{2} – \frac{1}{10} = \frac{5}{10} – \frac{1}{10} = \frac{4}{10}$.

## Properties of LCM of 2 and 10

The most important properties of the lcm(2,10) are:

• Commutative property: lcm(2,10) = lcm(10,2)
• Associative property: lcm(2,10,n) = lcm(lcm(10,2),n) $\hspace{10px}n\neq 0 \hspace{3px}\epsilon\hspace{3px}\mathbb{Z}$

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 2 and 10 is 10. In common notation: lcm (2,10) = 10.

If you have been searching for lcm 2 and 10 or lcm 2 10 then you have come to the correct page, too. The same is the true if you typed lcm for 2 and 10 in your favorite search engine.

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

Questions and comments related to the lcm of 2 and 10 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 10 has been useful to you, and make sure to bookmark our site.

Posted in Least Common Multiple

## Related pages

prime factorizations of 3620 by 20 multiplication chart printablegreatest common factor of 28 and 44what is the lcm of 2 and 4prime factorization 92greatest common factor of 72 and 108prime factor of 99the prime factorization of 245prime factorization for 98prime factor of 105is 185 a prime numberexpress 126 as a product of prime numberswhat is the prime factorization of 56what is prime factorization of 84multiplication table that goes up to 1000common denominator of 5 and 8find the prime factorization of 36prime factor of 98lcm and gcf finderis 68 a prime or composite numberprime factorization of 2205prime factorization of 240prime factorization 250gcf and lcm of 36 and 45what is the greatest common factor of 28 and 70what is the factor tree of 84prime factorization 51prime factors of 84what are the prime factors of 64the lcm of 4 and 10what is the prime factorization of 330is 83 a prime or composite numberwrite 63 as a product of prime factorsprime factors of 8434-24-34gcf of 90 and 7584 as a product of prime factorsprime factorization of 1751-100 multiplication tablewhat is the gcf of 9write each number as a product of prime factorsmultiplication table upto 100is 72 a prime or composite numberprime factors of 78is 233 a prime number4x times tableswhat is the prime factorization of 70prime factors of 945gcf and lcm finderwhat is prime factorization of 75is 69 a prime or composite numberprime factorization of 1000prime factorization of 82what is the prime factorization of 142prime factorization of 345prime factorization of 350multiplication chart 1-24prime factorization for 196multiplication table upto 100prime factorization of 336is 801 a prime numberfind the prime factorization of 70prime factors of 140first five multiples of 12divisors of 144threes times tablesmultiplication table 1-100 printablecommon denominator of 5 and 10what is the prime factorization of 240multiplication table 40x40what is the gcf of 48 and 64prime factorization of 759what is the greatest common factor of 35 and 49greatest common factor of 14 and 4945 as a product of prime factorsgcf of 96 and 120what is the gcf of 100what is the prime factorization of 124largest common denominator calculatorprime factorization of 504prime factorization of 169what is the prime factorization of 89prime factorization of 202