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LCM of 8301, 2271

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


Find the LCM of 8301, 2271 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 8301, 2271. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 8301,2271

Given numbers are 8301,2271

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

The LCM of 8301,2271 is 6283857.

Find LCM of 8301,2271 with Prime Factorization


3 8301, 2271
2767, 757

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

3 x 2767 x 757 = 6283857

Therefore, the lowest common multiple of 8301,2271 is 6283857.

LCM Formula to Find Lowest Common Multiple of 8301,2271

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.

8301 x 2271 = 18851571

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.

8301 : 1, 3, 2767, 8301

2271 : 1, 3, 757, 2271

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8301,2271, is 3.

Now, the common factors can be found like this.

8301:3x 2767

2271:3x 757

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 = 18851571/(3x1)

LCM = 18851571/3

LCM = 6283857

Thus, we can understand that the LCM of 8301,2271 is 6283857.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 8301, 2271

1. What is the LCM of 8301, 2271?

Answer: LCM of 8301, 2271 is 6283857.

2. How to calculate the LCM of 8301, 2271?

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 8301, 2271.

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}.