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LCM of 8708, 5134

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


Find the LCM of 8708, 5134 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 8708, 5134. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 8708,5134

Given numbers are 8708,5134

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

The LCM of 8708,5134 is 22353436.

Find LCM of 8708,5134 with Prime Factorization


2 8708, 5134
4354, 2567

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

2 x 4354 x 2567 = 22353436

Therefore, the lowest common multiple of 8708,5134 is 22353436.

LCM Formula to Find Lowest Common Multiple of 8708,5134

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.

8708 x 5134 = 44706872

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.

8708 : 1, 2, 4, 7, 14, 28, 311, 622, 1244, 2177, 4354, 8708

5134 : 1, 2, 17, 34, 151, 302, 2567, 5134

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8708,5134, is 2.

Now, the common factors can be found like this.

8708:2x 2x 7x 311

5134:2x 17x 151

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 = 44706872/(2x1)

LCM = 44706872/2

LCM = 22353436

Thus, we can understand that the LCM of 8708,5134 is 22353436.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 8708, 5134

1. What is the LCM of 8708, 5134?

Answer: LCM of 8708, 5134 is 22353436.

2. How to calculate the LCM of 8708, 5134?

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 8708, 5134.

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}.