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LCM of 8381, 9802

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


Find the LCM of 8381, 9802 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 8381, 9802. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 8381,9802

Given numbers are 8381,9802

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

The LCM of 8381,9802 is 2832778.

Find LCM of 8381,9802 with Prime Factorization


29 8381, 9802
289, 338

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

29 x 289 x 338 = 2832778

Therefore, the lowest common multiple of 8381,9802 is 2832778.

LCM Formula to Find Lowest Common Multiple of 8381,9802

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.

8381 x 9802 = 82150562

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.

8381 : 1, 17, 29, 289, 493, 8381

9802 : 1, 2, 13, 26, 29, 58, 169, 338, 377, 754, 4901, 9802

29 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8381,9802, is 29.

Now, the common factors can be found like this.

8381:17x 17x 29

9802:2x 13x 13x 29

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 = 82150562/(29x1)

LCM = 82150562/29

LCM = 2832778

Thus, we can understand that the LCM of 8381,9802 is 2832778.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 8381, 9802

1. What is the LCM of 8381, 9802?

Answer: LCM of 8381, 9802 is 2832778.

2. How to calculate the LCM of 8381, 9802?

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 8381, 9802.

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}.