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LCM of 2183, 9794

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


Find the LCM of 2183, 9794 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 2183, 9794. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 2183,9794

Given numbers are 2183,9794

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

The LCM of 2183,9794 is 362378.

Find LCM of 2183,9794 with Prime Factorization


59 2183, 9794
37, 166

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

59 x 37 x 166 = 362378

Therefore, the lowest common multiple of 2183,9794 is 362378.

LCM Formula to Find Lowest Common Multiple of 2183,9794

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.

2183 x 9794 = 21380302

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.

2183 : 1, 37, 59, 2183

9794 : 1, 2, 59, 83, 118, 166, 4897, 9794

59 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2183,9794, is 59.

Now, the common factors can be found like this.

2183:37x 59

9794:2x 59x 83

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 = 21380302/(59x1)

LCM = 21380302/59

LCM = 362378

Thus, we can understand that the LCM of 2183,9794 is 362378.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 2183, 9794

1. What is the LCM of 2183, 9794?

Answer: LCM of 2183, 9794 is 362378.

2. How to calculate the LCM of 2183, 9794?

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 2183, 9794.

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}.