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LCM of 8636, 9017

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


Find the LCM of 8636, 9017 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 8636, 9017. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 8636,9017

Given numbers are 8636,9017

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

The LCM of 8636,9017 is 613156.

Find LCM of 8636,9017 with Prime Factorization


127 8636, 9017
68, 71

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

127 x 68 x 71 = 613156

Therefore, the lowest common multiple of 8636,9017 is 613156.

LCM Formula to Find Lowest Common Multiple of 8636,9017

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.

8636 x 9017 = 77870812

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.

8636 : 1, 2, 4, 17, 34, 68, 127, 254, 508, 2159, 4318, 8636

9017 : 1, 71, 127, 9017

127 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8636,9017, is 127.

Now, the common factors can be found like this.

8636:2x 2x 17x 127

9017:71x 127

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 = 77870812/(127x1)

LCM = 77870812/127

LCM = 613156

Thus, we can understand that the LCM of 8636,9017 is 613156.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 8636, 9017

1. What is the LCM of 8636, 9017?

Answer: LCM of 8636, 9017 is 613156.

2. How to calculate the LCM of 8636, 9017?

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 8636, 9017.

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}.