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LCM of 6202, 5764

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


Find the LCM of 6202, 5764 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 6202, 5764. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 6202,5764

Given numbers are 6202,5764

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

The LCM of 6202,5764 is 17874164.

Find LCM of 6202,5764 with Prime Factorization


2 6202, 5764
3101, 2882

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

2 x 3101 x 2882 = 17874164

Therefore, the lowest common multiple of 6202,5764 is 17874164.

LCM Formula to Find Lowest Common Multiple of 6202,5764

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.

6202 x 5764 = 35748328

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.

6202 : 1, 2, 7, 14, 443, 886, 3101, 6202

5764 : 1, 2, 4, 11, 22, 44, 131, 262, 524, 1441, 2882, 5764

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6202,5764, is 2.

Now, the common factors can be found like this.

6202:2x 7x 443

5764:2x 2x 11x 131

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 = 35748328/(2x1)

LCM = 35748328/2

LCM = 17874164

Thus, we can understand that the LCM of 6202,5764 is 17874164.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 6202, 5764

1. What is the LCM of 6202, 5764?

Answer: LCM of 6202, 5764 is 17874164.

2. How to calculate the LCM of 6202, 5764?

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 6202, 5764.

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}.