LCM of 84 and 55


The lcm of 84 and 55 is the smallest positive integer that divides the numbers 84 and 55 without a remainder. Spelled out, it is the least common multiple of 84 and 55. Here you can find the lcm of 84 and 55, 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 84 and 55, but also that of three or more integers including eighty-four and fifty-five for example. Keep reading to learn everything about the lcm (84,55) and the terms related to it.

What is the LCM of 84 and 55

If you just want to know what is the least common multiple of 84 and 55, it is 4620. Usually, this is written as

lcm(84,55) = 4620

The lcm of 84 and 55 can be obtained like this:

  • The multiples of 84 are …, 4536, 4620, 4704, ….
  • The multiples of 55 are …, 4565, 4620, 4675, …
  • The common multiples of 84 and 55 are n x 4620, intersecting the two sets above, $\hspace{3px}n \hspace{3px}\epsilon\hspace{3px}\mathbb{Z}$.
  • In the intersection multiples of 84 ∩ multiples of 55 the least positive element is 4620.
  • Therefore, the least common multiple of 84 and 55 is 4620.

Taking the above into account you also know how to find all the common multiples of 84 and 55, not just the smallest. In the next section we show you how to calculate the lcm of eighty-four and fifty-five by means of two more methods.

How to find the LCM of 84 and 55

The least common multiple of 84 and 55 can be computed by using the greatest common factor aka gcf of 84 and 55. This is the easiest approach:

lcm (84,55) = $\frac{84 \times 55}{gcf(84,55)} = \frac{4620}{1}$ = 4620

Alternatively, the lcm of 84 and 55 can be found using the prime factorization of 84 and 55:

  • The prime factorization of 84 is: 2 x 2 x 3 x 7
  • The prime factorization of 55 is: 5 x 11
  • Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(84,84) = 4620

In any case, the easiest way to compute the lcm of two numbers like 84 and 55 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 84,55. Push the button only to start over.

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

Use of LCM of 84 and 55

What is the least common multiple of 84 and 55 used for? Answer: It is helpful for adding and subtracting fractions like 1/84 and 1/55. Just multiply the dividends and divisors by 55 and 84, respectively, such that the divisors have the value of 4620, the lcm of 84 and 55.

$\frac{1}{84} + \frac{1}{55} = \frac{55}{4620} + \frac{84}{4620} = \frac{139}{4620}$. $\hspace{30px}\frac{1}{84} – \frac{1}{55} = \frac{55}{4620} – \frac{84}{4620} = \frac{-29}{4620}$.

Properties of LCM of 84 and 55

The most important properties of the lcm(84,55) are:

  • Commutative property: lcm(84,55) = lcm(55,84)
  • Associative property: lcm(84,55,n) = lcm(lcm(55,84),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 84 and 55 is 4620. In common notation: lcm (84,55) = 4620.

If you have been searching for lcm 84 and 55 or lcm 84 55 then you have come to the correct page, too. The same is the true if you typed lcm for 84 and 55 in your favorite search engine.

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

Questions and comments related to the lcm of 84 and 55 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 84 and 55 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


what is the prime factorization of 79hcf of 72 and 96hcf of 72 and 96write the prime factorization of 5612x tablesprime factorization of 79702 756 5346multiplication table upto 100greatest common factor of 35 and 6384 prime factorizationis 983 a prime numberwhat is the prime factorization of 700what is the prime factorization of 525what is the prime factorization of 294prime factorization of 196what is the lcm of 6what is the lcm of 30multiplication table 1-1000the prime factorization of 48prime factors 120common multiples of 6 and 12prime factorization of 140find the lcm of 12 and 15common multiples of 7 and 8find the prime factorization of 78printable multiplication chart 1-100factor tree for 144prime factorization for 200multiplication chart 1 500multiplication table that goes up to 20what is the prime factorization of 120calculator gcf7s times tablesthe multiplication table up to 100prime factors of 58multiplication table 1-15prime factorization of 550multiplication chart 1-25what is the prime factorization of 252the prime factorization of 63greatest common factor of 120common multiples of 2 3 and 4what is the prime factorization of 112gcf of 49 and 81what is the greatest common factor of 24 and 36gcf of 70 and 98list of prime factorizationsprime factorization for 126what is the greatest common factor of 72 and 54is 125 a prime or composite numbergreatest common factor of 121the prime factorization of 58write each number as a product of prime factorswhat is the prime factorization of 147what are the divisors of 64prime factorization 981-20 multiplication tableprime factorization 198common multiples of 8 and 3what is the prime factorization of 126prime factorization of 360multiplication table up to 1000088-551 to 100 multiplication tablethe prime factorization of 90what is the prime factorization of 735multiplication table 20 x 2048 as a product of its prime factorsprime factorization of 47common multiples of 7 and 8multiplication table to 300what is the prime factorization of 68is 621 a prime numberprime and composite numbers 1 200what is the prime factorization for 92prime factorization of 624write each number as a product of prime factors