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LCM of 9964, 2067

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


Find the LCM of 9964, 2067 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 9964, 2067. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9964,2067

Given numbers are 9964,2067

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

The LCM of 9964,2067 is 388596.

Find LCM of 9964,2067 with Prime Factorization


53 9964, 2067
188, 39

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

53 x 188 x 39 = 388596

Therefore, the lowest common multiple of 9964,2067 is 388596.

LCM Formula to Find Lowest Common Multiple of 9964,2067

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.

9964 x 2067 = 20595588

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.

9964 : 1, 2, 4, 47, 53, 94, 106, 188, 212, 2491, 4982, 9964

2067 : 1, 3, 13, 39, 53, 159, 689, 2067

53 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9964,2067, is 53.

Now, the common factors can be found like this.

9964:2x 2x 47x 53

2067:3x 13x 53

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 = 20595588/(53x1)

LCM = 20595588/53

LCM = 388596

Thus, we can understand that the LCM of 9964,2067 is 388596.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 9964, 2067

1. What is the LCM of 9964, 2067?

Answer: LCM of 9964, 2067 is 388596.

2. How to calculate the LCM of 9964, 2067?

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 9964, 2067.

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}.