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LCM of 2024, 5636

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


Find the LCM of 2024, 5636 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 2024, 5636. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 2024,5636

Given numbers are 2024,5636

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

The LCM of 2024,5636 is 2851816.

Find LCM of 2024,5636 with Prime Factorization


2 2024, 5636
2 1012, 2818
506, 1409

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

2 x 2 x 506 x 1409 = 2851816

Therefore, the lowest common multiple of 2024,5636 is 2851816.

LCM Formula to Find Lowest Common Multiple of 2024,5636

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.

2024 x 5636 = 11407264

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.

2024 : 1, 2, 4, 8, 11, 22, 23, 44, 46, 88, 92, 184, 253, 506, 1012, 2024

5636 : 1, 2, 4, 1409, 2818, 5636

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2024,5636, is 4.

Now, the common factors can be found like this.

2024:2x 2x 2x 11x 23

5636:2x 2x 1409

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 = 11407264/(4x1)

LCM = 11407264/4

LCM = 2851816

Thus, we can understand that the LCM of 2024,5636 is 2851816.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 2024, 5636

1. What is the LCM of 2024, 5636?

Answer: LCM of 2024, 5636 is 2851816.

2. How to calculate the LCM of 2024, 5636?

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 2024, 5636.

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}.