LCM of 64 and 81


The lcm of 64 and 81 is the smallest positive integer that divides the numbers 64 and 81 without a remainder. Spelled out, it is the least common multiple of 64 and 81. Here you can find the lcm of 64 and 81, 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 64 and 81, but also that of three or more integers including sixty-four and eighty-one for example. Keep reading to learn everything about the lcm (64,81) and the terms related to it.

What is the LCM of 64 and 81

If you just want to know what is the least common multiple of 64 and 81, it is 5184. Usually, this is written as

lcm(64,81) = 5184

The lcm of 64 and 81 can be obtained like this:

  • The multiples of 64 are …, 5120, 5184, 5248, ….
  • The multiples of 81 are …, 5103, 5184, 5265, …
  • The common multiples of 64 and 81 are n x 5184, intersecting the two sets above, $\hspace{3px}n \hspace{3px}\epsilon\hspace{3px}\mathbb{Z}$.
  • In the intersection multiples of 64 ∩ multiples of 81 the least positive element is 5184.
  • Therefore, the least common multiple of 64 and 81 is 5184.

Taking the above into account you also know how to find all the common multiples of 64 and 81, not just the smallest. In the next section we show you how to calculate the lcm of sixty-four and eighty-one by means of two more methods.

How to find the LCM of 64 and 81

The least common multiple of 64 and 81 can be computed by using the greatest common factor aka gcf of 64 and 81. This is the easiest approach:

lcm (64,81) = $\frac{64 \times 81}{gcf(64,81)} = \frac{5184}{1}$ = 5184

Alternatively, the lcm of 64 and 81 can be found using the prime factorization of 64 and 81:

  • The prime factorization of 64 is: 2 x 2 x 2 x 2 x 2 x 2
  • The prime factorization of 81 is: 3 x 3 x 3 x 3
  • Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(64,64) = 5184

In any case, the easiest way to compute the lcm of two numbers like 64 and 81 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 64,81. Push the button only to start over.

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

Use of LCM of 64 and 81

What is the least common multiple of 64 and 81 used for? Answer: It is helpful for adding and subtracting fractions like 1/64 and 1/81. Just multiply the dividends and divisors by 81 and 64, respectively, such that the divisors have the value of 5184, the lcm of 64 and 81.

$\frac{1}{64} + \frac{1}{81} = \frac{81}{5184} + \frac{64}{5184} = \frac{145}{5184}$. $\hspace{30px}\frac{1}{64} – \frac{1}{81} = \frac{81}{5184} – \frac{64}{5184} = \frac{17}{5184}$.

Properties of LCM of 64 and 81

The most important properties of the lcm(64,81) are:

  • Commutative property: lcm(64,81) = lcm(81,64)
  • Associative property: lcm(64,81,n) = lcm(lcm(81,64),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 64 and 81 is 5184. In common notation: lcm (64,81) = 5184.

If you have been searching for lcm 64 and 81 or lcm 64 81 then you have come to the correct page, too. The same is the true if you typed lcm for 64 and 81 in your favorite search engine.

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

Questions and comments related to the lcm of 64 and 81 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 64 and 81 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


common multiples of 8 and 12the prime factorization of 343gcf of 121what is the prime factorization of 7725x25 multiplication tablewhat is the gcf of 63 and 4212x tablesmultiplication chart that goes up to 100gcf of 52 and 65highest common factor of 14 and 49multiplication table 13 to 20prime factorization of 441what is the greatest common factor of 32 and 56prime factorization of 528write the prime factorization of 60what is prime factorization of 4820 x 20 times tablegcf of 75 and 60prime factorization of 882what is the prime factorization of 101lcm of 180what is the prime factorization for 132highest common factor of 14 and 49what is the prime factorization of 300the prime factorization of 48what is the greatest common factor of 28 and 70gcf and lcm of 36 and 45gcf of 56 and 72what is the prime factorization of 72common multiples of 2 and 6find the prime factorization of 175common multiples of 12is 729 a prime numberwhat is 36 as a product of prime factorswhat is the prime factorization of 293196 prime factorizationgcf of 65lcm of 75the prime factorization of 22540 x 40 multiplication tableprime factors of 5840x timetableis 173 a prime number216 prime factorizationhcf of 75prime factorization of 87greatest common factor of 64 and 48times table 15x15what is the prime factorization of 300prime factorization 92factorization of 121the lcm of 4 and 5what is the prime factorization of 248prime factorization of 170prime factorization of 255prime factor of 102what is the prime factorization of 125what are the prime factors of 132what is the prime factorization of 75what is the prime factorization of 91easiest way to find greatest common factorwhat is the prime factorization of 147multiplication table up to 10000is 193 a prime numberwhat is the prime factorization of 310factor tree of 841-100 multiplication tableprime factors of 240what is the prime factorization of 560what is the gcf of 60 and 72702 756 5346gcf of 98what are the prime factors of 77what is the prime factorization of 1501-50 multiplication chart91-56gcf of 81 and 36