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LCM of 9102, 9003

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


Find the LCM of 9102, 9003 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 9102, 9003. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9102,9003

Given numbers are 9102,9003

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

The LCM of 9102,9003 is 27315102.

Find LCM of 9102,9003 with Prime Factorization


3 9102, 9003
3034, 3001

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

3 x 3034 x 3001 = 27315102

Therefore, the lowest common multiple of 9102,9003 is 27315102.

LCM Formula to Find Lowest Common Multiple of 9102,9003

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.

9102 x 9003 = 81945306

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.

9102 : 1, 2, 3, 6, 37, 41, 74, 82, 111, 123, 222, 246, 1517, 3034, 4551, 9102

9003 : 1, 3, 3001, 9003

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9102,9003, is 3.

Now, the common factors can be found like this.

9102:2x 3x 37x 41

9003:3x 3001

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 = 81945306/(3x1)

LCM = 81945306/3

LCM = 27315102

Thus, we can understand that the LCM of 9102,9003 is 27315102.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 9102, 9003

1. What is the LCM of 9102, 9003?

Answer: LCM of 9102, 9003 is 27315102.

2. How to calculate the LCM of 9102, 9003?

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 9102, 9003.

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}.