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LCM of 7569, 8241

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


Find the LCM of 7569, 8241 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 7569, 8241. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 7569,8241

Given numbers are 7569,8241

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

The LCM of 7569,8241 is 20792043.

Find LCM of 7569,8241 with Prime Factorization


3 7569, 8241
2523, 2747

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

3 x 2523 x 2747 = 20792043

Therefore, the lowest common multiple of 7569,8241 is 20792043.

LCM Formula to Find Lowest Common Multiple of 7569,8241

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.

7569 x 8241 = 62376129

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.

7569 : 1, 3, 9, 29, 87, 261, 841, 2523, 7569

8241 : 1, 3, 41, 67, 123, 201, 2747, 8241

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7569,8241, is 3.

Now, the common factors can be found like this.

7569:3x 3x 29x 29

8241:3x 41x 67

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 = 62376129/(3x1)

LCM = 62376129/3

LCM = 20792043

Thus, we can understand that the LCM of 7569,8241 is 20792043.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 7569, 8241

1. What is the LCM of 7569, 8241?

Answer: LCM of 7569, 8241 is 20792043.

2. How to calculate the LCM of 7569, 8241?

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 7569, 8241.

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}.