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LCM of 8365, 5955

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


Find the LCM of 8365, 5955 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 8365, 5955. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 8365,5955

Given numbers are 8365,5955

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

The LCM of 8365,5955 is 9962715.

Find LCM of 8365,5955 with Prime Factorization


5 8365, 5955
1673, 1191

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

5 x 1673 x 1191 = 9962715

Therefore, the lowest common multiple of 8365,5955 is 9962715.

LCM Formula to Find Lowest Common Multiple of 8365,5955

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.

8365 x 5955 = 49813575

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.

8365 : 1, 5, 7, 35, 239, 1195, 1673, 8365

5955 : 1, 3, 5, 15, 397, 1191, 1985, 5955

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8365,5955, is 5.

Now, the common factors can be found like this.

8365:5x 7x 239

5955:3x 5x 397

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 = 49813575/(5x1)

LCM = 49813575/5

LCM = 9962715

Thus, we can understand that the LCM of 8365,5955 is 9962715.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 8365, 5955

1. What is the LCM of 8365, 5955?

Answer: LCM of 8365, 5955 is 9962715.

2. How to calculate the LCM of 8365, 5955?

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 8365, 5955.

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}.