LCM of 18 and 25

The lcm of 18 and 25 is the smallest positive integer that divides the numbers 18 and 25 without a remainder. Spelled out, it is the least common multiple of 18 and 25. Here you can find the lcm of 18 and 25, 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 18 and 25, but also that of three or more integers including eighteen and twenty-five for example. Keep reading to learn everything about the lcm (18,25) and the terms related to it.

What is the LCM of 18 and 25

If you just want to know what is the least common multiple of 18 and 25, it is 450. Usually, this is written as

lcm(18,25) = 450

The lcm of 18 and 25 can be obtained like this:

• The multiples of 18 are …, 432, 450, 468, ….
• The multiples of 25 are …, 425, 450, 475, …
• The common multiples of 18 and 25 are n x 450, intersecting the two sets above, $\hspace{3px}n \hspace{3px}\epsilon\hspace{3px}\mathbb{Z}$.
• In the intersection multiples of 18 ∩ multiples of 25 the least positive element is 450.
• Therefore, the least common multiple of 18 and 25 is 450.

Taking the above into account you also know how to find all the common multiples of 18 and 25, not just the smallest. In the next section we show you how to calculate the lcm of eighteen and twenty-five by means of two more methods.

How to find the LCM of 18 and 25

The least common multiple of 18 and 25 can be computed by using the greatest common factor aka gcf of 18 and 25. This is the easiest approach:

lcm (18,25) = $\frac{18 \times 25}{gcf(18,25)} = \frac{450}{1}$ = 450

Alternatively, the lcm of 18 and 25 can be found using the prime factorization of 18 and 25:

• The prime factorization of 18 is: 2 x 3 x 3
• The prime factorization of 25 is: 5 x 5
• Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(18,18) = 450

In any case, the easiest way to compute the lcm of two numbers like 18 and 25 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 18,25. Push the button only to start over.

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

Use of LCM of 18 and 25

What is the least common multiple of 18 and 25 used for? Answer: It is helpful for adding and subtracting fractions like 1/18 and 1/25. Just multiply the dividends and divisors by 25 and 18, respectively, such that the divisors have the value of 450, the lcm of 18 and 25.

$\frac{1}{18} + \frac{1}{25} = \frac{25}{450} + \frac{18}{450} = \frac{43}{450}$. $\hspace{30px}\frac{1}{18} – \frac{1}{25} = \frac{25}{450} – \frac{18}{450} = \frac{7}{450}$.

Properties of LCM of 18 and 25

The most important properties of the lcm(18,25) are:

• Commutative property: lcm(18,25) = lcm(25,18)
• Associative property: lcm(18,25,n) = lcm(lcm(25,18),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 18 and 25 is 450. In common notation: lcm (18,25) = 450.

If you have been searching for lcm 18 and 25 or lcm 18 25 then you have come to the correct page, too. The same is the true if you typed lcm for 18 and 25 in your favorite search engine.

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

Questions and comments related to the lcm of 18 and 25 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 18 and 25 has been useful to you, and make sure to bookmark our site.

Thanks for your visit.

Posted in Least Common Multiple

Related pages

what is the lcm of 3 and 6what is the lowest common multiple of 60 and 96multiplication chart 1-13gcf calculaterfind the prime factorization of 78multiplication chart to 20prime factorization for 57multiplication table 1-30what are prime factors of 84multiplication table 25x25200 multiplication chartgreatest common factor of 121126 prime factorizationwhat is the lcm of 2 and 11what is the prime factorization of 255what is the greatest prime factor of 38nines times tableslcm of 5 7prime factors of 945common multiples of 12 and 16find the prime factorization of 90prime factorization of 202prime factorization of 168the prime factorization of 121prime factorization of 312what are the prime factors of 91is 157 a prime numberwhat is the gcf of 72what is the prime factorization of 110find the prime factorization of 200the prime factorization of 245prime factorization of 45multiplication table 1-100 printablegreatest prime factor of 100prime factorization of 315prime factorization of 49prime factorization of 256what is the prime factorization of 385prime factorization for 60hcf of 45 and 72find the prime factorization of 39table of multiplication 1-100prime factorization of 81multiplication chart 30x30what is prime factorization of 96prime factorization of 143prime factorization for 98gcf of 96 and 120is 161 a prime numberis 143 a prime numberprime factorization of 61find the prime factorization of 99hcf of 6488-55prime factorization of 168gcf and lcm of 36 and 45what is the gcf of 33 and 66common multiples of 4 and 10write the prime factorization of 20find the prime factorization of 51define lowest common multipleprime factorization of 220multiplication chart to 200prime factorization of 136what is the prime factorization of 61125 prime factorizationprime factor tree of 84what is the prime factorization of 174find the greatest common factor calculatorprime factorization of 244what is the prime factorization of 8449 prime factorizationfactorization of 126gcf of 144 and 192what is the gcf ofprime factorization of 728prime factorization of 201is 30 a prime or composite numberwhat is the prime factorization of 89prime factors of 112prime factors of 441