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LCM of 5247, 6259

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


Find the LCM of 5247, 6259 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 5247, 6259. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 5247,6259

Given numbers are 5247,6259

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

The LCM of 5247,6259 is 2985543.

Find LCM of 5247,6259 with Prime Factorization


11 5247, 6259
477, 569

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

11 x 477 x 569 = 2985543

Therefore, the lowest common multiple of 5247,6259 is 2985543.

LCM Formula to Find Lowest Common Multiple of 5247,6259

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.

5247 x 6259 = 32840973

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.

5247 : 1, 3, 9, 11, 33, 53, 99, 159, 477, 583, 1749, 5247

6259 : 1, 11, 569, 6259

11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5247,6259, is 11.

Now, the common factors can be found like this.

5247:3x 3x 11x 53

6259:11x 569

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 = 32840973/(11x1)

LCM = 32840973/11

LCM = 2985543

Thus, we can understand that the LCM of 5247,6259 is 2985543.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 5247, 6259

1. What is the LCM of 5247, 6259?

Answer: LCM of 5247, 6259 is 2985543.

2. How to calculate the LCM of 5247, 6259?

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 5247, 6259.

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}.