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LCM of 6843, 9297

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


Find the LCM of 6843, 9297 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 6843, 9297. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 6843,9297

Given numbers are 6843,9297

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

The LCM of 6843,9297 is 21206457.

Find LCM of 6843,9297 with Prime Factorization


3 6843, 9297
2281, 3099

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

3 x 2281 x 3099 = 21206457

Therefore, the lowest common multiple of 6843,9297 is 21206457.

LCM Formula to Find Lowest Common Multiple of 6843,9297

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.

6843 x 9297 = 63619371

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.

6843 : 1, 3, 2281, 6843

9297 : 1, 3, 9, 1033, 3099, 9297

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6843,9297, is 3.

Now, the common factors can be found like this.

6843:3x 2281

9297:3x 3x 1033

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 = 63619371/(3x1)

LCM = 63619371/3

LCM = 21206457

Thus, we can understand that the LCM of 6843,9297 is 21206457.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 6843, 9297

1. What is the LCM of 6843, 9297?

Answer: LCM of 6843, 9297 is 21206457.

2. How to calculate the LCM of 6843, 9297?

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 6843, 9297.

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}.