# LCM of 6 and 95

The lcm of 6 and 95 is the smallest positive integer that divides the numbers 6 and 95 without a remainder. Spelled out, it is the least common multiple of 6 and 95. Here you can find the lcm of 6 and 95, 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 6 and 95, but also that of three or more integers including six and ninety-five for example. Keep reading to learn everything about the lcm (6,95) and the terms related to it.

## What is the LCM of 6 and 95

If you just want to know what is the least common multiple of 6 and 95, it is 570. Usually, this is written as

lcm(6,95) = 570

The lcm of 6 and 95 can be obtained like this:

• The multiples of 6 are …, 564, 570, 576, ….
• The multiples of 95 are …, 475, 570, 665, …
• The common multiples of 6 and 95 are n x 570, intersecting the two sets above, $\hspace{3px}n \hspace{3px}\epsilon\hspace{3px}\mathbb{Z}$.
• In the intersection multiples of 6 ∩ multiples of 95 the least positive element is 570.
• Therefore, the least common multiple of 6 and 95 is 570.

Taking the above into account you also know how to find all the common multiples of 6 and 95, not just the smallest. In the next section we show you how to calculate the lcm of six and ninety-five by means of two more methods.

## How to find the LCM of 6 and 95

The least common multiple of 6 and 95 can be computed by using the greatest common factor aka gcf of 6 and 95. This is the easiest approach:

lcm (6,95) = $\frac{6 \times 95}{gcf(6,95)} = \frac{570}{1}$ = 570

Alternatively, the lcm of 6 and 95 can be found using the prime factorization of 6 and 95:

• The prime factorization of 6 is: 2 x 3
• The prime factorization of 95 is: 5 x 19
• Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(6,6) = 570

In any case, the easiest way to compute the lcm of two numbers like 6 and 95 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 6,95. Push the button only to start over.

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

## Use of LCM of 6 and 95

What is the least common multiple of 6 and 95 used for? Answer: It is helpful for adding and subtracting fractions like 1/6 and 1/95. Just multiply the dividends and divisors by 95 and 6, respectively, such that the divisors have the value of 570, the lcm of 6 and 95.

$\frac{1}{6} + \frac{1}{95} = \frac{95}{570} + \frac{6}{570} = \frac{101}{570}$. $\hspace{30px}\frac{1}{6} – \frac{1}{95} = \frac{95}{570} – \frac{6}{570} = \frac{89}{570}$.

## Properties of LCM of 6 and 95

The most important properties of the lcm(6,95) are:

• Commutative property: lcm(6,95) = lcm(95,6)
• Associative property: lcm(6,95,n) = lcm(lcm(95,6),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 6 and 95 is 570. In common notation: lcm (6,95) = 570.

If you have been searching for lcm 6 and 95 or lcm 6 95 then you have come to the correct page, too. The same is the true if you typed lcm for 6 and 95 in your favorite search engine.

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

Questions and comments related to the lcm of 6 and 95 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 6 and 95 has been useful to you, and make sure to bookmark our site.

Thanks for your visit.

Posted in Least Common Multiple

## Related pages

what is the prime factorization of 390multiplication table upto 100write the prime factorization of 56gcf of 28 and 98prime factorization of 14412x multiplication table1-20 multiplication tableprime factorization of 468prime factorization 67multiplication table 25x25 printablewhat are the prime factors of 294prime factorizations of 3660 multiplication tablecommon denominator of 5 and 10what is the gcf of 63what is the greatest common factor of 56 and 42prime factorization of 64multiplication table upto 100common multiples of 9 and 7is 42 a prime or composite numberprime factors of 132what is prime factorization of 64prime factorization of 49prime factorization of 1224greatest common factor of 28 and 44what is the prime factorization of 96greatest common factor of 121times table 25x25gcf of 56 and 72prime factorization of 244the lcm of 5 and 6prime factorization 132what is the prime factorization of 48common multiples of 6 and 9prime factorization of 105lcm of 63prime factorization of 244find the prime factorization of 126prime factorization 147the prime factorization of 140prime factor of 52prime factorization of 97find the greatest common factor calculatorprime factorization for 39what is the lcm of 3 and 7what is the prime factorization of 53what is the greatest common factor of 54 and 63is 57 prime or composite numberhighest common factor calculator 3 numbersprime factors of 540common multiples of 4 and 8common multiples of 6 and 8what is the prime factorization of 328factorization of 196what is the prime factorization of 176factorization of 180what are the common multiples of 2 and 3prime factorization 135gcf of 64 and 48is 44 a prime or composite numberprime factors of 91what is the prime factorization of 192prime factorization of 35070 prime factorizationprime factors of 132multiplication table 30x30 pdfwhat is the gcf of 34 and 85prime factorization of 157prime factorization of 69what is the prime factorization of 58common multiples of 7 and 3prime numbers 1-500