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LCM of 9621, 7698

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


Find the LCM of 9621, 7698 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 9621, 7698. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9621,7698

Given numbers are 9621,7698

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

The LCM of 9621,7698 is 24687486.

Find LCM of 9621,7698 with Prime Factorization


3 9621, 7698
3207, 2566

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

3 x 3207 x 2566 = 24687486

Therefore, the lowest common multiple of 9621,7698 is 24687486.

LCM Formula to Find Lowest Common Multiple of 9621,7698

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.

9621 x 7698 = 74062458

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.

9621 : 1, 3, 9, 1069, 3207, 9621

7698 : 1, 2, 3, 6, 1283, 2566, 3849, 7698

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9621,7698, is 3.

Now, the common factors can be found like this.

9621:3x 3x 1069

7698:2x 3x 1283

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 = 74062458/(3x1)

LCM = 74062458/3

LCM = 24687486

Thus, we can understand that the LCM of 9621,7698 is 24687486.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 9621, 7698

1. What is the LCM of 9621, 7698?

Answer: LCM of 9621, 7698 is 24687486.

2. How to calculate the LCM of 9621, 7698?

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 9621, 7698.

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}.