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LCM of 6003, 3405

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


Find the LCM of 6003, 3405 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 6003, 3405. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 6003,3405

Given numbers are 6003,3405

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

The LCM of 6003,3405 is 6813405.

Find LCM of 6003,3405 with Prime Factorization


3 6003, 3405
2001, 1135

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

3 x 2001 x 1135 = 6813405

Therefore, the lowest common multiple of 6003,3405 is 6813405.

LCM Formula to Find Lowest Common Multiple of 6003,3405

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.

6003 x 3405 = 20440215

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.

6003 : 1, 3, 9, 23, 29, 69, 87, 207, 261, 667, 2001, 6003

3405 : 1, 3, 5, 15, 227, 681, 1135, 3405

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6003,3405, is 3.

Now, the common factors can be found like this.

6003:3x 3x 23x 29

3405:3x 5x 227

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 = 20440215/(3x1)

LCM = 20440215/3

LCM = 6813405

Thus, we can understand that the LCM of 6003,3405 is 6813405.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 6003, 3405

1. What is the LCM of 6003, 3405?

Answer: LCM of 6003, 3405 is 6813405.

2. How to calculate the LCM of 6003, 3405?

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 6003, 3405.

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}.