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LCM of 8723, 8679

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


Find the LCM of 8723, 8679 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 8723, 8679. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 8723,8679

Given numbers are 8723,8679

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

The LCM of 8723,8679 is 6882447.

Find LCM of 8723,8679 with Prime Factorization


11 8723, 8679
793, 789

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

11 x 793 x 789 = 6882447

Therefore, the lowest common multiple of 8723,8679 is 6882447.

LCM Formula to Find Lowest Common Multiple of 8723,8679

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.

8723 x 8679 = 75706917

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.

8723 : 1, 11, 13, 61, 143, 671, 793, 8723

8679 : 1, 3, 11, 33, 263, 789, 2893, 8679

11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8723,8679, is 11.

Now, the common factors can be found like this.

8723:11x 13x 61

8679:3x 11x 263

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 = 75706917/(11x1)

LCM = 75706917/11

LCM = 6882447

Thus, we can understand that the LCM of 8723,8679 is 6882447.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 8723, 8679

1. What is the LCM of 8723, 8679?

Answer: LCM of 8723, 8679 is 6882447.

2. How to calculate the LCM of 8723, 8679?

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 8723, 8679.

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}.