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LCM of 9618, 3638

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


Find the LCM of 9618, 3638 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 9618, 3638. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9618,3638

Given numbers are 9618,3638

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

The LCM of 9618,3638 is 17495142.

Find LCM of 9618,3638 with Prime Factorization


2 9618, 3638
4809, 1819

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

2 x 4809 x 1819 = 17495142

Therefore, the lowest common multiple of 9618,3638 is 17495142.

LCM Formula to Find Lowest Common Multiple of 9618,3638

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.

9618 x 3638 = 34990284

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.

9618 : 1, 2, 3, 6, 7, 14, 21, 42, 229, 458, 687, 1374, 1603, 3206, 4809, 9618

3638 : 1, 2, 17, 34, 107, 214, 1819, 3638

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9618,3638, is 2.

Now, the common factors can be found like this.

9618:2x 3x 7x 229

3638:2x 17x 107

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 = 34990284/(2x1)

LCM = 34990284/2

LCM = 17495142

Thus, we can understand that the LCM of 9618,3638 is 17495142.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 9618, 3638

1. What is the LCM of 9618, 3638?

Answer: LCM of 9618, 3638 is 17495142.

2. How to calculate the LCM of 9618, 3638?

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 9618, 3638.

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}.