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LCM of 1821, 6141

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


Find the LCM of 1821, 6141 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 1821, 6141. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 1821,6141

Given numbers are 1821,6141

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

The LCM of 1821,6141 is 3727587.

Find LCM of 1821,6141 with Prime Factorization


3 1821, 6141
607, 2047

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

3 x 607 x 2047 = 3727587

Therefore, the lowest common multiple of 1821,6141 is 3727587.

LCM Formula to Find Lowest Common Multiple of 1821,6141

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.

1821 x 6141 = 11182761

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.

1821 : 1, 3, 607, 1821

6141 : 1, 3, 23, 69, 89, 267, 2047, 6141

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1821,6141, is 3.

Now, the common factors can be found like this.

1821:3x 607

6141:3x 23x 89

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 = 11182761/(3x1)

LCM = 11182761/3

LCM = 3727587

Thus, we can understand that the LCM of 1821,6141 is 3727587.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 1821, 6141

1. What is the LCM of 1821, 6141?

Answer: LCM of 1821, 6141 is 3727587.

2. How to calculate the LCM of 1821, 6141?

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 1821, 6141.

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}.