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LCM of 8657, 8404

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


Find the LCM of 8657, 8404 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 8657, 8404. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 8657,8404

Given numbers are 8657,8404

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

The LCM of 8657,8404 is 6613948.

Find LCM of 8657,8404 with Prime Factorization


11 8657, 8404
787, 764

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

11 x 787 x 764 = 6613948

Therefore, the lowest common multiple of 8657,8404 is 6613948.

LCM Formula to Find Lowest Common Multiple of 8657,8404

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.

8657 x 8404 = 72753428

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.

8657 : 1, 11, 787, 8657

8404 : 1, 2, 4, 11, 22, 44, 191, 382, 764, 2101, 4202, 8404

11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8657,8404, is 11.

Now, the common factors can be found like this.

8657:11x 787

8404:2x 2x 11x 191

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 = 72753428/(11x1)

LCM = 72753428/11

LCM = 6613948

Thus, we can understand that the LCM of 8657,8404 is 6613948.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 8657, 8404

1. What is the LCM of 8657, 8404?

Answer: LCM of 8657, 8404 is 6613948.

2. How to calculate the LCM of 8657, 8404?

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 8657, 8404.

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}.