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LCM of 9381, 7209

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


Find the LCM of 9381, 7209 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 9381, 7209. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9381,7209

Given numbers are 9381,7209

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

The LCM of 9381,7209 is 22542543.

Find LCM of 9381,7209 with Prime Factorization


3 9381, 7209
3127, 2403

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

3 x 3127 x 2403 = 22542543

Therefore, the lowest common multiple of 9381,7209 is 22542543.

LCM Formula to Find Lowest Common Multiple of 9381,7209

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.

9381 x 7209 = 67627629

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.

9381 : 1, 3, 53, 59, 159, 177, 3127, 9381

7209 : 1, 3, 9, 27, 81, 89, 267, 801, 2403, 7209

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9381,7209, is 3.

Now, the common factors can be found like this.

9381:3x 53x 59

7209:3x 3x 3x 3x 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 = 67627629/(3x1)

LCM = 67627629/3

LCM = 22542543

Thus, we can understand that the LCM of 9381,7209 is 22542543.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 9381, 7209

1. What is the LCM of 9381, 7209?

Answer: LCM of 9381, 7209 is 22542543.

2. How to calculate the LCM of 9381, 7209?

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 9381, 7209.

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}.