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LCM of 9455, 7005

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


Find the LCM of 9455, 7005 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 9455, 7005. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9455,7005

Given numbers are 9455,7005

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

The LCM of 9455,7005 is 13246455.

Find LCM of 9455,7005 with Prime Factorization


5 9455, 7005
1891, 1401

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

5 x 1891 x 1401 = 13246455

Therefore, the lowest common multiple of 9455,7005 is 13246455.

LCM Formula to Find Lowest Common Multiple of 9455,7005

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.

9455 x 7005 = 66232275

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.

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

7005 : 1, 3, 5, 15, 467, 1401, 2335, 7005

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9455,7005, is 5.

Now, the common factors can be found like this.

9455:5x 31x 61

7005:3x 5x 467

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 = 66232275/(5x1)

LCM = 66232275/5

LCM = 13246455

Thus, we can understand that the LCM of 9455,7005 is 13246455.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 9455, 7005

1. What is the LCM of 9455, 7005?

Answer: LCM of 9455, 7005 is 13246455.

2. How to calculate the LCM of 9455, 7005?

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 9455, 7005.

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}.