# LCM of 4 and 3

The lcm of 4 and 3 is the smallest positive integer that divides the numbers 4 and 3 without a remainder. Spelled out, it is the least common multiple of 4 and 3. Here you can find the lcm of 4 and 3, 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 4 and 3, but also that of three or more integers including four and three for example. Keep reading to learn everything about the lcm (4,3) and the terms related to it.

## What is the LCM of 4 and 3

If you just want to know what is the least common multiple of 4 and 3, it is 12. Usually, this is written as

lcm(4,3) = 12

The lcm of 4 and 3 can be obtained like this:

• The multiples of 4 are …, 8, 12, 16, ….
• The multiples of 3 are …, 9, 12, 15, …
• The common multiples of 4 and 3 are n x 12, intersecting the two sets above, $\hspace{3px}n \hspace{3px}\epsilon\hspace{3px}\mathbb{Z}$.
• In the intersection multiples of 4 ∩ multiples of 3 the least positive element is 12.
• Therefore, the least common multiple of 4 and 3 is 12.

Taking the above into account you also know how to find all the common multiples of 4 and 3, not just the smallest. In the next section we show you how to calculate the lcm of four and three by means of two more methods.

## How to find the LCM of 4 and 3

The least common multiple of 4 and 3 can be computed by using the greatest common factor aka gcf of 4 and 3. This is the easiest approach:

lcm (4,3) = $\frac{4 \times 3}{gcf(4,3)} = \frac{12}{1}$ = 12

Alternatively, the lcm of 4 and 3 can be found using the prime factorization of 4 and 3:

• The prime factorization of 4 is: 2 x 2
• The prime factorization of 3 is: 3
• Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(4,4) = 12

In any case, the easiest way to compute the lcm of two numbers like 4 and 3 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 4,3. Push the button only to start over.

The lcm is...
Similar searched terms on our site also include:

## Use of LCM of 4 and 3

What is the least common multiple of 4 and 3 used for? Answer: It is helpful for adding and subtracting fractions like 1/4 and 1/3. Just multiply the dividends and divisors by 3 and 4, respectively, such that the divisors have the value of 12, the lcm of 4 and 3.

$\frac{1}{4} + \frac{1}{3} = \frac{3}{12} + \frac{4}{12} = \frac{7}{12}$. $\hspace{30px}\frac{1}{4} – \frac{1}{3} = \frac{3}{12} – \frac{4}{12} = \frac{-1}{12}$.

## Properties of LCM of 4 and 3

The most important properties of the lcm(4,3) are:

• Commutative property: lcm(4,3) = lcm(3,4)
• Associative property: lcm(4,3,n) = lcm(lcm(3,4),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 4 and 3 is 12. In common notation: lcm (4,3) = 12.

If you have been searching for lcm 4 and 3 or lcm 4 3 then you have come to the correct page, too. The same is the true if you typed lcm for 4 and 3 in your favorite search engine.

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

Questions and comments related to the lcm of 4 and 3 are really appreciated. Use the form below or send us a mail to get in touch.

Please hit the sharing buttons if our article about the least common multiple of 4 and 3 has been useful to you, and make sure to bookmark our site.

Posted in Least Common Multiple

## Related pages

gcf and lcm findergcf of 48 and 72prime factorization of 196prime factorization of 312smallest common multiple of 36 and 60common multiples of 6 and 91 30 multiplication chartprime factorization of 147prime factorization of 144prime factors of 95what is the lcm of 2 and 11write the prime factorization of 27prime factors of 735times table 1-20find the prime factorization of 49common multiples of 4 and 789 prime factorizationwhat is the greatest common factor of 36 and 90100-85gcf of 108multiplication chart 1 2000prime factorization of 1000what is the prime factorization 56what is the prime factorization of 119common multiples of 24 and 36 from 1 to 10034-24-34is 237 a prime number144 prime factorizationgreatest common multiple findercomposite numbers 1 1000factorization of 147what is the prime factorization of 56common multiples of 7 and 9is 121 prime number49 prime factorizationwrite the prime factorization of 50factorization of 180common multiples of 6hcf of 54 and 7251 prime factorizationgreatest common factor of 42 and 72prime factors of 441prime factors of 700gcf of 75 and 60what is the prime factorization of 91prime factorization of 38multiplication chart up to 500prime factorization of 77factorization of 24536-28-36prime factorization of 1224prime factorization of 360prime factorization of 378common multiples of 2 and 3what is the greatest common factor of 35 and 49prime factors of 420is 39 a prime or composite numberis 153 a prime numberprime factorization of 144lcm of 14415x15 multiplication tablewhat are the prime factors of 42multiplication table 20x20what is the lcm of 10 and 5prime factorization of 21640x40 multiplication chartwhat is the greatest common factor of 56 and 64prime factorization of 300table of multiplication 1-100what is the gcf of 9