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LCM of 7803, 2091

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


Find the LCM of 7803, 2091 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 7803, 2091. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 7803,2091

Given numbers are 7803,2091

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

The LCM of 7803,2091 is 319923.

Find LCM of 7803,2091 with Prime Factorization


3 7803, 2091
17 2601, 697
153, 41

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

3 x 17 x 153 x 41 = 319923

Therefore, the lowest common multiple of 7803,2091 is 319923.

LCM Formula to Find Lowest Common Multiple of 7803,2091

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.

7803 x 2091 = 16316073

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.

7803 : 1, 3, 9, 17, 27, 51, 153, 289, 459, 867, 2601, 7803

2091 : 1, 3, 17, 41, 51, 123, 697, 2091

51 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7803,2091, is 51.

Now, the common factors can be found like this.

7803:3x 3x 3x 17x 17

2091:3x 17x 41

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 = 16316073/(51x1)

LCM = 16316073/51

LCM = 319923

Thus, we can understand that the LCM of 7803,2091 is 319923.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 7803, 2091

1. What is the LCM of 7803, 2091?

Answer: LCM of 7803, 2091 is 319923.

2. How to calculate the LCM of 7803, 2091?

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 7803, 2091.

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}.