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LCM of 6567, 4296

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


Find the LCM of 6567, 4296 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 6567, 4296. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 6567,4296

Given numbers are 6567,4296

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

The LCM of 6567,4296 is 9403944.

Find LCM of 6567,4296 with Prime Factorization


3 6567, 4296
2189, 1432

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

3 x 2189 x 1432 = 9403944

Therefore, the lowest common multiple of 6567,4296 is 9403944.

LCM Formula to Find Lowest Common Multiple of 6567,4296

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.

6567 x 4296 = 28211832

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.

6567 : 1, 3, 11, 33, 199, 597, 2189, 6567

4296 : 1, 2, 3, 4, 6, 8, 12, 24, 179, 358, 537, 716, 1074, 1432, 2148, 4296

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6567,4296, is 3.

Now, the common factors can be found like this.

6567:3x 11x 199

4296:2x 2x 2x 3x 179

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 = 28211832/(3x1)

LCM = 28211832/3

LCM = 9403944

Thus, we can understand that the LCM of 6567,4296 is 9403944.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 6567, 4296

1. What is the LCM of 6567, 4296?

Answer: LCM of 6567, 4296 is 9403944.

2. How to calculate the LCM of 6567, 4296?

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 6567, 4296.

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}.