# 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...
Frequently 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.

Thanks for your visit.

Posted in Least Common Multiple

## Related pages

36-27-36prime factorization 216find the prime factorization of 391 30 multiplication chart4s times tablesprime factorization 77multiplication table 20x20 printablegcf of 42 and 66common multiples of 8 and 10multiplication table 40 x 40prime factorization of 170prime factor of 84what is the prime factorization of 160prime factorization 126144 prime factorization9times tablewhat is the greatest common factor of 64 and 48what is the prime factorization of 144common multiples of 2 and 3common multiples of 2 and 3100-82prime factors of 132what is the lcm of 4prime factorization for 46prime factors of 122596 prime factorizationgcf of 90 and 108lowest common multiple of 72 and 120greatest common factor of 35 and 36multiplication table up to 10000highest common denominator calculatorprime factorization of 8398 prime factorizationprime factors of 735factorization of 245what is the gcf of 44 and 66calculator for gcfwhat are the prime factors of 64is 83 a prime or composite numbermultiplication table 1-100 printablemultiplication table chart 1 3040x timetablemultiplication table chart up to 100prime factorization of 150is 67 a prime or composite numberprime factors of 8485 prime factorizationwhat is the lcm of 4 and 5525 as a product of prime factorslcm of 180multiplication table up to 25prime factorization for 85what is the prime factorization of 97prime factors of 5798 prime factorizationlcm of 180what is the gcf of 54 and 84what is the prime factorization of 144prime factorization of 43what is the prime factorization of 484prime factorization 38prime factorization 67prime factors of 66prime factorization of 624what are the common multiples of 2 and 3definition of a prime factormultiplication table 25x25what is the prime factorization of 3121-100 times table chartcommon multiples of 10prime factorization for 144what is the lcm of 2 and 10gcf of 90 and 75greatest common factor of 45 and 72what is the prime factorization for 38common multiples of 7