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LCM of 47 and 41

The lcm of 47 and 41 is the smallest positive integer that divides the numbers 47 and 41 without a remainder. Spelled out, it is the least common multiple of 47 and 41. Here you can find the result for 47 and 41, along with a total of three methods for computing it.


1927

This Least Common Multiple Calculator is Really Cool! Click To TweetYou should check out our calculator. Not only can it determine the outcome of 47 and 41, but also that of three or more integers including forty-seven and forty-one for example. Keep reading to learn everything about the lcm (47,41) and the terms related to it.

What is the Least Common Multiple of 47 and 41?

If you just want to know what is the least common multiple of 47 and 41, it is 1927. Usually, this is written as

lcm(47,41) = 1927


The lcm of 47 and 41 can be obtained like this:
  • The multiples of 47 are … , 1880, 1927, 1974, ….
  • The multiples of 41 are …, 1886, 1927, 1968, …
  • The common multiples of 47 and 41 are n x 1927, intersecting the two sets above, .
  • In the intersection multiples of 47 ∩ multiples of 41 the least positive element is 1927.
  • Therefore, the least common multiple of 47 and 41 is 1927.

Taking the above into account you also know how to find all the common multiples of 47 and 41, not just the smallest. In the next section we show you how to calculate the lcm of forty-seven and forty-one by means of two more methods.

How to find the LCM of 47 and 41

The least common multiple of 47 and 41 can be computed by using the greatest common factor aka gcf of 47 and 41. This is the easiest approach:

lcm (47,41) = = 1927



Alternatively, the lcm of 47 and 41 can be found using the prime factorization of 47 and 41:
  • The prime factorization of 47 is: 47
  • The prime factorization of 41 is: 41
  • Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(47,47) = 1927

In any case, the easiest way to compute the result for two numbers like 47 and 41 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 47,412,2. 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 47 and 41

What is the least common multiple of 47 and 41 used for? Answer: It is helpful for adding and subtracting fractions like 1/47 and 1/41. Just multiply the dividends and divisors by 41 and 47, respectively, such that the divisors have the value of 1927, the lcm of 47 and 41.

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Next, we shed a light on the mathematical properties.

Properties of LCM of 47 and 41

The most important properties of the lcm(47,41) are:

  • Commutative property: lcm(47,41) = lcm(41,47)
  • Associative property: lcm(47,41,n) = lcm(lcm(41,47),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 forty-seven / forty-one 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