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LCM of 7185, 9455

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


Find the LCM of 7185, 9455 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 7185, 9455. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 7185,9455

Given numbers are 7185,9455

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

The LCM of 7185,9455 is 13586835.

Find LCM of 7185,9455 with Prime Factorization


5 7185, 9455
1437, 1891

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

5 x 1437 x 1891 = 13586835

Therefore, the lowest common multiple of 7185,9455 is 13586835.

LCM Formula to Find Lowest Common Multiple of 7185,9455

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.

7185 x 9455 = 67934175

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.

7185 : 1, 3, 5, 15, 479, 1437, 2395, 7185

9455 : 1, 5, 31, 61, 155, 305, 1891, 9455

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7185,9455, is 5.

Now, the common factors can be found like this.

7185:3x 5x 479

9455:5x 31x 61

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 = 67934175/(5x1)

LCM = 67934175/5

LCM = 13586835

Thus, we can understand that the LCM of 7185,9455 is 13586835.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 7185, 9455

1. What is the LCM of 7185, 9455?

Answer: LCM of 7185, 9455 is 13586835.

2. How to calculate the LCM of 7185, 9455?

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 7185, 9455.

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}.