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LCM of 8671, 2117

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


Find the LCM of 8671, 2117 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 8671, 2117. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 8671,2117

Given numbers are 8671,2117

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

The LCM of 8671,2117 is 632983.

Find LCM of 8671,2117 with Prime Factorization


29 8671, 2117
299, 73

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

29 x 299 x 73 = 632983

Therefore, the lowest common multiple of 8671,2117 is 632983.

LCM Formula to Find Lowest Common Multiple of 8671,2117

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.

8671 x 2117 = 18356507

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.

8671 : 1, 13, 23, 29, 299, 377, 667, 8671

2117 : 1, 29, 73, 2117

29 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8671,2117, is 29.

Now, the common factors can be found like this.

8671:13x 23x 29

2117:29x 73

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 = 18356507/(29x1)

LCM = 18356507/29

LCM = 632983

Thus, we can understand that the LCM of 8671,2117 is 632983.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 8671, 2117

1. What is the LCM of 8671, 2117?

Answer: LCM of 8671, 2117 is 632983.

2. How to calculate the LCM of 8671, 2117?

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 8671, 2117.

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}.