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LCM of 63 and 43

The lcm of 63 and 43 is the smallest positive integer that divides the numbers 63 and 43 without a remainder. Spelled out, it is the least common multiple of 63 and 43. Here you can find the result for 63 and 43, along with a total of three methods for computing it.


2709

This Least Common Multiple Calculator is Really Cool! Click To TweetYou should check out our calculator. Not only can it determine the outcome of 63 and 43, but also that of three or more integers including sixty-three and forty-three for example. Keep reading to learn everything about the lcm (63,43) and the terms related to it.

What is the Least Common Multiple of 63 and 43?

If you just want to know what is the least common multiple of 63 and 43, it is 2709. Usually, this is written as

lcm(63,43) = 2709


The lcm of 63 and 43 can be obtained like this:
  • The multiples of 63 are … , 2646, 2709, 2772, ….
  • The multiples of 43 are …, 2666, 2709, 2752, …
  • The common multiples of 63 and 43 are n x 2709, intersecting the two sets above, .
  • In the intersection multiples of 63 ∩ multiples of 43 the least positive element is 2709.
  • Therefore, the least common multiple of 63 and 43 is 2709.

Taking the above into account you also know how to find all the common multiples of 63 and 43, not just the smallest. In the next section we show you how to calculate the lcm of sixty-three and forty-three by means of two more methods.

How to find the LCM of 63 and 43

The least common multiple of 63 and 43 can be computed by using the greatest common factor aka gcf of 63 and 43. This is the easiest approach:

lcm (63,43) = = 2709



Alternatively, the lcm of 63 and 43 can be found using the prime factorization of 63 and 43:
  • The prime factorization of 63 is: 3 x 3 x 7
  • The prime factorization of 43 is: 43
  • Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(63,63) = 2709

In any case, the easiest way to compute the result for two numbers like 63 and 43 is by using our calculator above. Note that it can also compute the lcm of more than two numbers, separated by a comma. For example, enter 63,432,2. Push the button only to start over.

Similar searched terms on our site also include:

In the next paragraph we explain how the mathematical concept can be employed.

Keep reading – it’s really interesting.

Use of Least Common Multiple of 63 and 43

What is the least common multiple of 63 and 43 used for? Answer: It is helpful for adding and subtracting fractions like 1/63 and 1/43. Just multiply the dividends and divisors by 43 and 63, respectively, such that the divisors have the value of 2709, the lcm of 63 and 43.

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Next, we shed a light on the mathematical properties.

Properties of LCM of 63 and 43

The most important properties of the lcm(63,43) are:

  • Commutative property: lcm(63,43) = lcm(43,63)
  • Associative property: lcm(63,43,n) = lcm(lcm(43,63),n)

The associativity is particularly useful to get the lcm of three or more numbers; our calculator makes use of it.

Summary

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

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– Article written by Mark, last updated on August 8th, 2023