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LCM of 3639, 9627

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


Find the LCM of 3639, 9627 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 3639, 9627. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 3639,9627

Given numbers are 3639,9627

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

The LCM of 3639,9627 is 11677551.

Find LCM of 3639,9627 with Prime Factorization


3 3639, 9627
1213, 3209

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

3 x 1213 x 3209 = 11677551

Therefore, the lowest common multiple of 3639,9627 is 11677551.

LCM Formula to Find Lowest Common Multiple of 3639,9627

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.

3639 x 9627 = 35032653

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.

3639 : 1, 3, 1213, 3639

9627 : 1, 3, 3209, 9627

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3639,9627, is 3.

Now, the common factors can be found like this.

3639:3x 1213

9627:3x 3209

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 = 35032653/(3x1)

LCM = 35032653/3

LCM = 11677551

Thus, we can understand that the LCM of 3639,9627 is 11677551.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 3639, 9627

1. What is the LCM of 3639, 9627?

Answer: LCM of 3639, 9627 is 11677551.

2. How to calculate the LCM of 3639, 9627?

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 3639, 9627.

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}.