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LCM of 9136, 6346

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


Find the LCM of 9136, 6346 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 9136, 6346. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9136,6346

Given numbers are 9136,6346

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

The LCM of 9136,6346 is 28988528.

Find LCM of 9136,6346 with Prime Factorization


2 9136, 6346
4568, 3173

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

2 x 4568 x 3173 = 28988528

Therefore, the lowest common multiple of 9136,6346 is 28988528.

LCM Formula to Find Lowest Common Multiple of 9136,6346

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.

9136 x 6346 = 57977056

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.

9136 : 1, 2, 4, 8, 16, 571, 1142, 2284, 4568, 9136

6346 : 1, 2, 19, 38, 167, 334, 3173, 6346

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9136,6346, is 2.

Now, the common factors can be found like this.

9136:2x 2x 2x 2x 571

6346:2x 19x 167

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 = 57977056/(2x1)

LCM = 57977056/2

LCM = 28988528

Thus, we can understand that the LCM of 9136,6346 is 28988528.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 9136, 6346

1. What is the LCM of 9136, 6346?

Answer: LCM of 9136, 6346 is 28988528.

2. How to calculate the LCM of 9136, 6346?

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 9136, 6346.

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}.