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LCM of 9815, 5587

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


Find the LCM of 9815, 5587 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 9815, 5587. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9815,5587

Given numbers are 9815,5587

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

The LCM of 9815,5587 is 363155.

Find LCM of 9815,5587 with Prime Factorization


151 9815, 5587
65, 37

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

151 x 65 x 37 = 363155

Therefore, the lowest common multiple of 9815,5587 is 363155.

LCM Formula to Find Lowest Common Multiple of 9815,5587

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.

9815 x 5587 = 54836405

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.

9815 : 1, 5, 13, 65, 151, 755, 1963, 9815

5587 : 1, 37, 151, 5587

151 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9815,5587, is 151.

Now, the common factors can be found like this.

9815:5x 13x 151

5587:37x 151

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 = 54836405/(151x1)

LCM = 54836405/151

LCM = 363155

Thus, we can understand that the LCM of 9815,5587 is 363155.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 9815, 5587

1. What is the LCM of 9815, 5587?

Answer: LCM of 9815, 5587 is 363155.

2. How to calculate the LCM of 9815, 5587?

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 9815, 5587.

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}.