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LCM of 4161, 6441

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


Find the LCM of 4161, 6441 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 4161, 6441. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 4161,6441

Given numbers are 4161,6441

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

The LCM of 4161,6441 is 470193.

Find LCM of 4161,6441 with Prime Factorization


3 4161, 6441
19 1387, 2147
73, 113

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

3 x 19 x 73 x 113 = 470193

Therefore, the lowest common multiple of 4161,6441 is 470193.

LCM Formula to Find Lowest Common Multiple of 4161,6441

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.

4161 x 6441 = 26801001

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.

4161 : 1, 3, 19, 57, 73, 219, 1387, 4161

6441 : 1, 3, 19, 57, 113, 339, 2147, 6441

57 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4161,6441, is 57.

Now, the common factors can be found like this.

4161:3x 19x 73

6441:3x 19x 113

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 = 26801001/(57x1)

LCM = 26801001/57

LCM = 470193

Thus, we can understand that the LCM of 4161,6441 is 470193.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 4161, 6441

1. What is the LCM of 4161, 6441?

Answer: LCM of 4161, 6441 is 470193.

2. How to calculate the LCM of 4161, 6441?

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 4161, 6441.

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}.