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LCM of 9985, 8020

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


Find the LCM of 9985, 8020 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 9985, 8020. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9985,8020

Given numbers are 9985,8020

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

The LCM of 9985,8020 is 16015940.

Find LCM of 9985,8020 with Prime Factorization


5 9985, 8020
1997, 1604

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

5 x 1997 x 1604 = 16015940

Therefore, the lowest common multiple of 9985,8020 is 16015940.

LCM Formula to Find Lowest Common Multiple of 9985,8020

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.

9985 x 8020 = 80079700

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.

9985 : 1, 5, 1997, 9985

8020 : 1, 2, 4, 5, 10, 20, 401, 802, 1604, 2005, 4010, 8020

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9985,8020, is 5.

Now, the common factors can be found like this.

9985:5x 1997

8020:2x 2x 5x 401

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 = 80079700/(5x1)

LCM = 80079700/5

LCM = 16015940

Thus, we can understand that the LCM of 9985,8020 is 16015940.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 9985, 8020

1. What is the LCM of 9985, 8020?

Answer: LCM of 9985, 8020 is 16015940.

2. How to calculate the LCM of 9985, 8020?

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 9985, 8020.

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}.