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LCM of 8682, 7318

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


Find the LCM of 8682, 7318 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 8682, 7318. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 8682,7318

Given numbers are 8682,7318

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

The LCM of 8682,7318 is 31767438.

Find LCM of 8682,7318 with Prime Factorization


2 8682, 7318
4341, 3659

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

2 x 4341 x 3659 = 31767438

Therefore, the lowest common multiple of 8682,7318 is 31767438.

LCM Formula to Find Lowest Common Multiple of 8682,7318

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.

8682 x 7318 = 63534876

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.

8682 : 1, 2, 3, 6, 1447, 2894, 4341, 8682

7318 : 1, 2, 3659, 7318

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8682,7318, is 2.

Now, the common factors can be found like this.

8682:2x 3x 1447

7318:2x 3659

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 = 63534876/(2x1)

LCM = 63534876/2

LCM = 31767438

Thus, we can understand that the LCM of 8682,7318 is 31767438.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 8682, 7318

1. What is the LCM of 8682, 7318?

Answer: LCM of 8682, 7318 is 31767438.

2. How to calculate the LCM of 8682, 7318?

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 8682, 7318.

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}.