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LCM of 9505, 6205

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


Find the LCM of 9505, 6205 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 9505, 6205. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9505,6205

Given numbers are 9505,6205

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

The LCM of 9505,6205 is 11795705.

Find LCM of 9505,6205 with Prime Factorization


5 9505, 6205
1901, 1241

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

5 x 1901 x 1241 = 11795705

Therefore, the lowest common multiple of 9505,6205 is 11795705.

LCM Formula to Find Lowest Common Multiple of 9505,6205

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.

9505 x 6205 = 58978525

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.

9505 : 1, 5, 1901, 9505

6205 : 1, 5, 17, 73, 85, 365, 1241, 6205

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9505,6205, is 5.

Now, the common factors can be found like this.

9505:5x 1901

6205:5x 17x 73

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 = 58978525/(5x1)

LCM = 58978525/5

LCM = 11795705

Thus, we can understand that the LCM of 9505,6205 is 11795705.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 9505, 6205

1. What is the LCM of 9505, 6205?

Answer: LCM of 9505, 6205 is 11795705.

2. How to calculate the LCM of 9505, 6205?

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 9505, 6205.

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}.