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LCM of 9812, 6568

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


Find the LCM of 9812, 6568 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 9812, 6568. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9812,6568

Given numbers are 9812,6568

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

The LCM of 9812,6568 is 16111304.

Find LCM of 9812,6568 with Prime Factorization


2 9812, 6568
2 4906, 3284
2453, 1642

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

2 x 2 x 2453 x 1642 = 16111304

Therefore, the lowest common multiple of 9812,6568 is 16111304.

LCM Formula to Find Lowest Common Multiple of 9812,6568

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.

9812 x 6568 = 64445216

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.

9812 : 1, 2, 4, 11, 22, 44, 223, 446, 892, 2453, 4906, 9812

6568 : 1, 2, 4, 8, 821, 1642, 3284, 6568

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9812,6568, is 4.

Now, the common factors can be found like this.

9812:2x 2x 11x 223

6568:2x 2x 2x 821

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 = 64445216/(4x1)

LCM = 64445216/4

LCM = 16111304

Thus, we can understand that the LCM of 9812,6568 is 16111304.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 9812, 6568

1. What is the LCM of 9812, 6568?

Answer: LCM of 9812, 6568 is 16111304.

2. How to calculate the LCM of 9812, 6568?

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 9812, 6568.

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}.