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LCM of 3201, 9581

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


Find the LCM of 3201, 9581 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 3201, 9581. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 3201,9581

Given numbers are 3201,9581

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

The LCM of 3201,9581 is 2788071.

Find LCM of 3201,9581 with Prime Factorization


11 3201, 9581
291, 871

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

11 x 291 x 871 = 2788071

Therefore, the lowest common multiple of 3201,9581 is 2788071.

LCM Formula to Find Lowest Common Multiple of 3201,9581

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.

3201 x 9581 = 30668781

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.

3201 : 1, 3, 11, 33, 97, 291, 1067, 3201

9581 : 1, 11, 13, 67, 143, 737, 871, 9581

11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3201,9581, is 11.

Now, the common factors can be found like this.

3201:3x 11x 97

9581:11x 13x 67

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 = 30668781/(11x1)

LCM = 30668781/11

LCM = 2788071

Thus, we can understand that the LCM of 3201,9581 is 2788071.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 3201, 9581

1. What is the LCM of 3201, 9581?

Answer: LCM of 3201, 9581 is 2788071.

2. How to calculate the LCM of 3201, 9581?

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 3201, 9581.

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}.