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LCM of 8177, 8957

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


Find the LCM of 8177, 8957 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 8177, 8957. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 8177,8957

Given numbers are 8177,8957

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

The LCM of 8177,8957 is 5633953.

Find LCM of 8177,8957 with Prime Factorization


13 8177, 8957
629, 689

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

13 x 629 x 689 = 5633953

Therefore, the lowest common multiple of 8177,8957 is 5633953.

LCM Formula to Find Lowest Common Multiple of 8177,8957

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.

8177 x 8957 = 73241389

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.

8177 : 1, 13, 17, 37, 221, 481, 629, 8177

8957 : 1, 13, 53, 169, 689, 8957

13 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8177,8957, is 13.

Now, the common factors can be found like this.

8177:13x 17x 37

8957:13x 13x 53

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 = 73241389/(13x1)

LCM = 73241389/13

LCM = 5633953

Thus, we can understand that the LCM of 8177,8957 is 5633953.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 8177, 8957

1. What is the LCM of 8177, 8957?

Answer: LCM of 8177, 8957 is 5633953.

2. How to calculate the LCM of 8177, 8957?

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 8177, 8957.

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}.