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LCM of 2582, 9344

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


Find the LCM of 2582, 9344 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 2582, 9344. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 2582,9344

Given numbers are 2582,9344

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

The LCM of 2582,9344 is 12063104.

Find LCM of 2582,9344 with Prime Factorization


2 2582, 9344
1291, 4672

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

2 x 1291 x 4672 = 12063104

Therefore, the lowest common multiple of 2582,9344 is 12063104.

LCM Formula to Find Lowest Common Multiple of 2582,9344

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.

2582 x 9344 = 24126208

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.

2582 : 1, 2, 1291, 2582

9344 : 1, 2, 4, 8, 16, 32, 64, 73, 128, 146, 292, 584, 1168, 2336, 4672, 9344

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2582,9344, is 2.

Now, the common factors can be found like this.

2582:2x 1291

9344:2x 2x 2x 2x 2x 2x 2x 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 = 24126208/(2x1)

LCM = 24126208/2

LCM = 12063104

Thus, we can understand that the LCM of 2582,9344 is 12063104.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 2582, 9344

1. What is the LCM of 2582, 9344?

Answer: LCM of 2582, 9344 is 12063104.

2. How to calculate the LCM of 2582, 9344?

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 2582, 9344.

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}.