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LCM of 8738, 7871

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


Find the LCM of 8738, 7871 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 8738, 7871. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 8738,7871

Given numbers are 8738,7871

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

The LCM of 8738,7871 is 4045694.

Find LCM of 8738,7871 with Prime Factorization


17 8738, 7871
514, 463

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

17 x 514 x 463 = 4045694

Therefore, the lowest common multiple of 8738,7871 is 4045694.

LCM Formula to Find Lowest Common Multiple of 8738,7871

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.

8738 x 7871 = 68776798

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.

8738 : 1, 2, 17, 34, 257, 514, 4369, 8738

7871 : 1, 17, 463, 7871

17 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8738,7871, is 17.

Now, the common factors can be found like this.

8738:2x 17x 257

7871:17x 463

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 = 68776798/(17x1)

LCM = 68776798/17

LCM = 4045694

Thus, we can understand that the LCM of 8738,7871 is 4045694.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 8738, 7871

1. What is the LCM of 8738, 7871?

Answer: LCM of 8738, 7871 is 4045694.

2. How to calculate the LCM of 8738, 7871?

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 8738, 7871.

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}.