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LCM of 2 and 69

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The lcm of 2 and 69 is the smallest positive integer that divides the numbers 2 and 69 without a remainder. Spelled out, it is the least common multiple of 2 and 69. Here you can find the lcm of 2 and 69, along with a total of three methods for computing it.


138

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 2 and 69, but also that of three or more integers including two and sixty-nine for example. Keep reading to learn everything about the lcm (2,69) and the terms related to it.

What is the LCM of 2 and 69

If you just want to know what is the least common multiple of 2 and 69, it is 138. Usually, this is written as

lcm(2,69) = 138

The lcm of 2 and 69 can be obtained like this:

  • The multiples of 2 are … , 136, 138, 140, ….
  • The multiples of 69 are …, 69, 138, 207, …
  • The common multiples of 2 and 69 are n x 138, intersecting the two sets above, .
  • In the intersection multiples of 2 ∩ multiples of 69 the least positive element is 138.
  • Therefore, the least common multiple of 2 and 69 is 138.

Taking the above into account you also know how to find all the common multiples of 2 and 69, not just the smallest. In the next section we show you how to calculate the lcm of two and sixty-nine by means of two more methods.

How to find the LCM of 2 and 69

The least common multiple of 2 and 69 can be computed by using the greatest common factor aka gcf of 2 and 69. This is the easiest approach:

lcm (2,69) = = 138

Alternatively, the lcm of 2 and 69 can be found using the prime factorization of 2 and 69:

  • The prime factorization of 2 is: 2
  • The prime factorization of 69 is: 3 x 23
  • Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(2,2) = 138

In any case, the easiest way to compute the lcm of two numbers like 2 and 69 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 2,69. Push the button only to start over.

Similar searched terms on our site also include:

Use of LCM of 2 and 69

What is the least common multiple of 2 and 69 used for? Answer: It is helpful for adding and subtracting fractions like 1/2 and 1/69. Just multiply the dividends and divisors by 69 and 2, respectively, such that the divisors have the value of 138, the lcm of 2 and 69.

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Properties of LCM of 2 and 69

The most important properties of the lcm(2,69) are:

  • Commutative property: lcm(2,69) = lcm(69,2)
  • Associative property: lcm(2,69,n) = lcm(lcm(69,2),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 2 and 69 is 138. In common notation: lcm (2,69) = 138.

If you have been searching for lcm 2 and 69 or lcm 2 69 then you have come to the correct page, too. The same is the true if you typed lcm for 2 and 69 in your favorite search engine.

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

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