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LCM of 2405, 8359

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


Find the LCM of 2405, 8359 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 2405, 8359. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 2405,8359

Given numbers are 2405,8359

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

The LCM of 2405,8359 is 1546415.

Find LCM of 2405,8359 with Prime Factorization


13 2405, 8359
185, 643

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

13 x 185 x 643 = 1546415

Therefore, the lowest common multiple of 2405,8359 is 1546415.

LCM Formula to Find Lowest Common Multiple of 2405,8359

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.

2405 x 8359 = 20103395

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.

2405 : 1, 5, 13, 37, 65, 185, 481, 2405

8359 : 1, 13, 643, 8359

13 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2405,8359, is 13.

Now, the common factors can be found like this.

2405:5x 13x 37

8359:13x 643

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 = 20103395/(13x1)

LCM = 20103395/13

LCM = 1546415

Thus, we can understand that the LCM of 2405,8359 is 1546415.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 2405, 8359

1. What is the LCM of 2405, 8359?

Answer: LCM of 2405, 8359 is 1546415.

2. How to calculate the LCM of 2405, 8359?

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 2405, 8359.

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}.