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LCM of 2005, 5585

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


Find the LCM of 2005, 5585 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 2005, 5585. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 2005,5585

Given numbers are 2005,5585

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

The LCM of 2005,5585 is 2239585.

Find LCM of 2005,5585 with Prime Factorization


5 2005, 5585
401, 1117

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

5 x 401 x 1117 = 2239585

Therefore, the lowest common multiple of 2005,5585 is 2239585.

LCM Formula to Find Lowest Common Multiple of 2005,5585

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.

2005 x 5585 = 11197925

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.

2005 : 1, 5, 401, 2005

5585 : 1, 5, 1117, 5585

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2005,5585, is 5.

Now, the common factors can be found like this.

2005:5x 401

5585:5x 1117

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 = 11197925/(5x1)

LCM = 11197925/5

LCM = 2239585

Thus, we can understand that the LCM of 2005,5585 is 2239585.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 2005, 5585

1. What is the LCM of 2005, 5585?

Answer: LCM of 2005, 5585 is 2239585.

2. How to calculate the LCM of 2005, 5585?

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 2005, 5585.

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}.