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LCM of 6003, 6225

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


Find the LCM of 6003, 6225 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, 6225. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 6003,6225

Given numbers are 6003,6225

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

The LCM of 6003,6225 is 12456225.

Find LCM of 6003,6225 with Prime Factorization


3 6003, 6225
2001, 2075

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

3 x 2001 x 2075 = 12456225

Therefore, the lowest common multiple of 6003,6225 is 12456225.

LCM Formula to Find Lowest Common Multiple of 6003,6225

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 6225 = 37368675

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

6225 : 1, 3, 5, 15, 25, 75, 83, 249, 415, 1245, 2075, 6225

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6003,6225, is 3.

Now, the common factors can be found like this.

6003:3x 3x 23x 29

6225:3x 5x 5x 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 = 37368675/(3x1)

LCM = 37368675/3

LCM = 12456225

Thus, we can understand that the LCM of 6003,6225 is 12456225.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 6003, 6225

1. What is the LCM of 6003, 6225?

Answer: LCM of 6003, 6225 is 12456225.

2. How to calculate the LCM of 6003, 6225?

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, 6225.

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}.