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LCM of 8382, 5547

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 8382, 5547 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 8382, 5547. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 8382,5547

Given numbers are 8382,5547

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 8382,5547 is 15498318.

Find LCM of 8382,5547 with Prime Factorization


3 8382, 5547
2794, 1849

Multiply the prime numbers at the bottom and the left side.

3 x 2794 x 1849 = 15498318

Therefore, the lowest common multiple of 8382,5547 is 15498318.

LCM Formula to Find Lowest Common Multiple of 8382,5547

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

8382 x 5547 = 46494954

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

8382 : 1, 2, 3, 6, 11, 22, 33, 66, 127, 254, 381, 762, 1397, 2794, 4191, 8382

5547 : 1, 3, 43, 129, 1849, 5547

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8382,5547, is 3.

Now, the common factors can be found like this.

8382:2x 3x 11x 127

5547:3x 43x 43

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

= 1

Therefore, the value for common factors is 1.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 46494954/(3x1)

LCM = 46494954/3

LCM = 15498318

Thus, we can understand that the LCM of 8382,5547 is 15498318.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 8382, 5547

1. What is the LCM of 8382, 5547?

Answer: LCM of 8382, 5547 is 15498318.

2. How to calculate the LCM of 8382, 5547?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 8382, 5547.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.