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LCM of 2956, 8002

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


Find the LCM of 2956, 8002 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 2956, 8002. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 2956,8002

Given numbers are 2956,8002

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

The LCM of 2956,8002 is 11826956.

Find LCM of 2956,8002 with Prime Factorization


2 2956, 8002
1478, 4001

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

2 x 1478 x 4001 = 11826956

Therefore, the lowest common multiple of 2956,8002 is 11826956.

LCM Formula to Find Lowest Common Multiple of 2956,8002

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.

2956 x 8002 = 23653912

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.

2956 : 1, 2, 4, 739, 1478, 2956

8002 : 1, 2, 4001, 8002

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2956,8002, is 2.

Now, the common factors can be found like this.

2956:2x 2x 739

8002:2x 4001

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 = 23653912/(2x1)

LCM = 23653912/2

LCM = 11826956

Thus, we can understand that the LCM of 2956,8002 is 11826956.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 2956, 8002

1. What is the LCM of 2956, 8002?

Answer: LCM of 2956, 8002 is 11826956.

2. How to calculate the LCM of 2956, 8002?

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 2956, 8002.

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}.