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LCM of 9176, 8612

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


Find the LCM of 9176, 8612 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 9176, 8612. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9176,8612

Given numbers are 9176,8612

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

The LCM of 9176,8612 is 19755928.

Find LCM of 9176,8612 with Prime Factorization


2 9176, 8612
2 4588, 4306
2294, 2153

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

2 x 2 x 2294 x 2153 = 19755928

Therefore, the lowest common multiple of 9176,8612 is 19755928.

LCM Formula to Find Lowest Common Multiple of 9176,8612

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.

9176 x 8612 = 79023712

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.

9176 : 1, 2, 4, 8, 31, 37, 62, 74, 124, 148, 248, 296, 1147, 2294, 4588, 9176

8612 : 1, 2, 4, 2153, 4306, 8612

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9176,8612, is 4.

Now, the common factors can be found like this.

9176:2x 2x 2x 31x 37

8612:2x 2x 2153

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 = 79023712/(4x1)

LCM = 79023712/4

LCM = 19755928

Thus, we can understand that the LCM of 9176,8612 is 19755928.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 9176, 8612

1. What is the LCM of 9176, 8612?

Answer: LCM of 9176, 8612 is 19755928.

2. How to calculate the LCM of 9176, 8612?

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 9176, 8612.

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}.