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LCM of 9664, 3282

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


Find the LCM of 9664, 3282 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 9664, 3282. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9664,3282

Given numbers are 9664,3282

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

The LCM of 9664,3282 is 15858624.

Find LCM of 9664,3282 with Prime Factorization


2 9664, 3282
4832, 1641

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

2 x 4832 x 1641 = 15858624

Therefore, the lowest common multiple of 9664,3282 is 15858624.

LCM Formula to Find Lowest Common Multiple of 9664,3282

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.

9664 x 3282 = 31717248

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.

9664 : 1, 2, 4, 8, 16, 32, 64, 151, 302, 604, 1208, 2416, 4832, 9664

3282 : 1, 2, 3, 6, 547, 1094, 1641, 3282

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9664,3282, is 2.

Now, the common factors can be found like this.

9664:2x 2x 2x 2x 2x 2x 151

3282:2x 3x 547

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 = 31717248/(2x1)

LCM = 31717248/2

LCM = 15858624

Thus, we can understand that the LCM of 9664,3282 is 15858624.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 9664, 3282

1. What is the LCM of 9664, 3282?

Answer: LCM of 9664, 3282 is 15858624.

2. How to calculate the LCM of 9664, 3282?

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 9664, 3282.

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}.