LCM of 93 and 22


The lcm of 93 and 22 is the smallest positive integer that divides the numbers 93 and 22 without a remainder. Spelled out, it is the least common multiple of 93 and 22. Here you can find the lcm of 93 and 22, 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 93 and 22, but also that of three or more integers including ninety-three and twenty-two for example. Keep reading to learn everything about the lcm (93,22) and the terms related to it.

What is the LCM of 93 and 22

If you just want to know what is the least common multiple of 93 and 22, it is 2046. Usually, this is written as

lcm(93,22) = 2046

The lcm of 93 and 22 can be obtained like this:

  • The multiples of 93 are … , 1953, 2046, 2139, ….
  • The multiples of 22 are …, 2024, 2046, 2068, …
  • The common multiples of 93 and 22 are n x 2046, intersecting the two sets above, $\hspace{3px}n \hspace{3px}\epsilon\hspace{3px}\mathbb{Z}$.
  • In the intersection multiples of 93 ∩ multiples of 22 the least positive element is 2046.
  • Therefore, the least common multiple of 93 and 22 is 2046.

Taking the above into account you also know how to find all the common multiples of 93 and 22, not just the smallest. In the next section we show you how to calculate the lcm of ninety-three and twenty-two by means of two more methods.

How to find the LCM of 93 and 22

The least common multiple of 93 and 22 can be computed by using the greatest common factor aka gcf of 93 and 22. This is the easiest approach:

lcm (93,22) = $\frac{93 \times 22}{gcf(93,22)} = \frac{2046}{1}$ = 2046

Alternatively, the lcm of 93 and 22 can be found using the prime factorization of 93 and 22:

  • The prime factorization of 93 is: 3 x 31
  • The prime factorization of 22 is: 2 x 11
  • Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(93,93) = 2046

In any case, the easiest way to compute the lcm of two numbers like 93 and 22 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 93,22. Push the button only to start over.

The lcm is...
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Use of LCM of 93 and 22

What is the least common multiple of 93 and 22 used for? Answer: It is helpful for adding and subtracting fractions like 1/93 and 1/22. Just multiply the dividends and divisors by 22 and 93, respectively, such that the divisors have the value of 2046, the lcm of 93 and 22.

$\frac{1}{93} + \frac{1}{22} = \frac{22}{2046} + \frac{93}{2046} = \frac{115}{2046}$. $\hspace{30px}\frac{1}{93} – \frac{1}{22} = \frac{22}{2046} – \frac{93}{2046} = \frac{-71}{2046}$.

Properties of LCM of 93 and 22

The most important properties of the lcm(93,22) are:

  • Commutative property: lcm(93,22) = lcm(22,93)
  • Associative property: lcm(93,22,n) = lcm(lcm(22,93),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 93 and 22 is 2046. In common notation: lcm (93,22) = 2046.

If you have been searching for lcm 93 and 22 or lcm 93 22 then you have come to the correct page, too. The same is the true if you typed lcm for 93 and 22 in your favorite search engine.

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

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