LCM of 4 and 5


The lcm of 4 and 5 is the smallest positive integer that divides the numbers 4 and 5 without a remainder. Spelled out, it is the least common multiple of 4 and 5. Here you can find the lcm of 4 and 5, 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 4 and 5, but also that of three or more integers including four and five for example. Keep reading to learn everything about the lcm (4,5) and the terms related to it.

What is the LCM of 4 and 5

If you just want to know what is the least common multiple of 4 and 5, it is 20. Usually, this is written as

lcm(4,5) = 20

The lcm of 4 and 5 can be obtained like this:

  • The multiples of 4 are …, 16, 20, 24, ….
  • The multiples of 5 are …, 15, 20, 25, …
  • The common multiples of 4 and 5 are n x 20, intersecting the two sets above, $\hspace{3px}n \hspace{3px}\epsilon\hspace{3px}\mathbb{Z}$.
  • In the intersection multiples of 4 ∩ multiples of 5 the least positive element is 20.
  • Therefore, the least common multiple of 4 and 5 is 20.

Taking the above into account you also know how to find all the common multiples of 4 and 5, not just the smallest. In the next section we show you how to calculate the lcm of four and five by means of two more methods.

How to find the LCM of 4 and 5

The least common multiple of 4 and 5 can be computed by using the greatest common factor aka gcf of 4 and 5. This is the easiest approach:

lcm (4,5) = $\frac{4 \times 5}{gcf(4,5)} = \frac{20}{1}$ = 20

Alternatively, the lcm of 4 and 5 can be found using the prime factorization of 4 and 5:

  • The prime factorization of 4 is: 2 x 2
  • The prime factorization of 5 is: 5
  • Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(4,4) = 20

In any case, the easiest way to compute the lcm of two numbers like 4 and 5 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 4,5. Push the button only to start over.

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

Use of LCM of 4 and 5

What is the least common multiple of 4 and 5 used for? Answer: It is helpful for adding and subtracting fractions like 1/4 and 1/5. Just multiply the dividends and divisors by 5 and 4, respectively, such that the divisors have the value of 20, the lcm of 4 and 5.

$\frac{1}{4} + \frac{1}{5} = \frac{5}{20} + \frac{4}{20} = \frac{9}{20}$. $\hspace{30px}\frac{1}{4} – \frac{1}{5} = \frac{5}{20} – \frac{4}{20} = \frac{1}{20}$.

Properties of LCM of 4 and 5

The most important properties of the lcm(4,5) are:

  • Commutative property: lcm(4,5) = lcm(5,4)
  • Associative property: lcm(4,5,n) = lcm(lcm(5,4),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 4 and 5 is 20. In common notation: lcm (4,5) = 20.

If you have been searching for lcm 4 and 5 or lcm 4 5 then you have come to the correct page, too. The same is the true if you typed lcm for 4 and 5 in your favorite search engine.

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

Questions and comments related to the lcm of 4 and 5 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 4 and 5 has been useful to you, and make sure to bookmark our site.

Thanks for your visit.

Print Friendly, PDF & Email
Posted in Least Common Multiple

Leave a Reply

Your email address will not be published. Required fields are marked *

*


Related pages


multiplication chart up to 100525 as a product of prime factorswhat is the prime factorization of 119multiplication table to 40lcm of 72find the prime factorization of 140prime factorization of 48find the prime factorization of 225multiplication table 13 to 20prime factorization of 77prime factorization 77prime factorization of 441what is the gcf of 2what is the prime factorization of 2800what is the greatest common factor of 72 and 54prime factorization of 376prime factorization of 104what is prime factorization of 8120prime20 x 20 times tablethe prime factors of 84multiplication table 1 200prime factorization of 73prime factorization of 148is 999 a prime numberprime factorisation of 47121 is a prime number6s times tableswhat is the greatest common factor of 60 and 72prime factors of 23142 prime factorizationmultiplication table 1-20prime factorization of 770the prime factorization of 6575 prime factorizationwhat is the greatest common factor of 54 and 3660 multiplication tablewhats gcfprime factorization for 84common multiples of 6 and 7is 144 a prime numberprime factorization of 123what is the greatest common factor of 35 and 496xtablewhat is the greatest common factor of 72 and 54prime factor of 99what are the prime factors of 196prime factorization 245the prime factorization of 147prime factorization 120find the prime factorization of 165find the prime factorization of 99what is prime factorization of 96prime factors of 980is 42 a prime or composite numberwhat is the prime factorization of 750prime factors of 108prime factorization of 243gcf factor calculatorwhat is the largest prime factor of 3536 multiplication factslcm of 18 and 7245 as a product of prime factorswhat is the prime factorization of 256divisors of 144prime factors of 98030x30 multiplication chartis 24 a composite or prime numberwhat is the lcm of 4 and 6times table chart 1 1000common multiples of 2 and 6factor gcf calculatorprime factorization of 1000whats the prime factorization of 90prime factorization for 64prime factors of 1764prime factorization of 441is thirteen a prime numberprime factorization of 136is 36 a prime or composite numberprime factorization 64is 197 a prime number