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LCM of 67 and 74

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The lcm of 67 and 74 is the smallest positive integer that divides the numbers 67 and 74 without a remainder. Spelled out, it is the least common multiple of 67 and 74. Here you can find the lcm of 67 and 74, along with a total of three methods for computing it.


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This Least Common Multiple Calculator is Really Cool! Click To TweetIn addition, we have a calculator you should check out. Not only can it determine the lcm of 67 and 74, but also that of three or more integers including sixty-seven and seventy-four for example. Keep reading to learn everything about the lcm (67,74) and the terms related to it.

What is the LCM of 67 and 74

If you just want to know what is the least common multiple of 67 and 74, it is 4958. Usually, this is written as

lcm(67,74) = 4958

The lcm of 67 and 74 can be obtained like this:

  • The multiples of 67 are … , 4891, 4958, 5025, ….
  • The multiples of 74 are …, 4884, 4958, 5032, …
  • The common multiples of 67 and 74 are n x 4958, intersecting the two sets above, .
  • In the intersection multiples of 67 ∩ multiples of 74 the least positive element is 4958.
  • Therefore, the least common multiple of 67 and 74 is 4958.

Taking the above into account you also know how to find all the common multiples of 67 and 74, not just the smallest. In the next section we show you how to calculate the lcm of sixty-seven and seventy-four by means of two more methods.

How to find the LCM of 67 and 74

The least common multiple of 67 and 74 can be computed by using the greatest common factor aka gcf of 67 and 74. This is the easiest approach:

lcm (67,74) = = 4958

Alternatively, the lcm of 67 and 74 can be found using the prime factorization of 67 and 74:

  • The prime factorization of 67 is: 67
  • The prime factorization of 74 is: 2 x 37
  • Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(67,67) = 4958

In any case, the easiest way to compute the lcm of two numbers like 67 and 74 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 67,74. Push the button only to start over.

Similar searched terms on our site also include:

Use of LCM of 67 and 74

What is the least common multiple of 67 and 74 used for? Answer: It is helpful for adding and subtracting fractions like 1/67 and 1/74. Just multiply the dividends and divisors by 74 and 67, respectively, such that the divisors have the value of 4958, the lcm of 67 and 74.

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Properties of LCM of 67 and 74

The most important properties of the lcm(67,74) are:

  • Commutative property: lcm(67,74) = lcm(74,67)
  • Associative property: lcm(67,74,n) = lcm(lcm(74,67),n)

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 67 and 74 is 4958. In common notation: lcm (67,74) = 4958.

If you have been searching for lcm 67 and 74 or lcm 67 74 then you have come to the correct page, too. The same is the true if you typed lcm for 67 and 74 in your favorite search engine.

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

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