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LCM of 3532, 9590

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


Find the LCM of 3532, 9590 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 3532, 9590. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 3532,9590

Given numbers are 3532,9590

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

The LCM of 3532,9590 is 16935940.

Find LCM of 3532,9590 with Prime Factorization


2 3532, 9590
1766, 4795

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

2 x 1766 x 4795 = 16935940

Therefore, the lowest common multiple of 3532,9590 is 16935940.

LCM Formula to Find Lowest Common Multiple of 3532,9590

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.

3532 x 9590 = 33871880

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.

3532 : 1, 2, 4, 883, 1766, 3532

9590 : 1, 2, 5, 7, 10, 14, 35, 70, 137, 274, 685, 959, 1370, 1918, 4795, 9590

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3532,9590, is 2.

Now, the common factors can be found like this.

3532:2x 2x 883

9590:2x 5x 7x 137

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 = 33871880/(2x1)

LCM = 33871880/2

LCM = 16935940

Thus, we can understand that the LCM of 3532,9590 is 16935940.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 3532, 9590

1. What is the LCM of 3532, 9590?

Answer: LCM of 3532, 9590 is 16935940.

2. How to calculate the LCM of 3532, 9590?

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 3532, 9590.

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}.