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LCM of 3957, 4959

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


Find the LCM of 3957, 4959 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 3957, 4959. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 3957,4959

Given numbers are 3957,4959

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

The LCM of 3957,4959 is 6540921.

Find LCM of 3957,4959 with Prime Factorization


3 3957, 4959
1319, 1653

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

3 x 1319 x 1653 = 6540921

Therefore, the lowest common multiple of 3957,4959 is 6540921.

LCM Formula to Find Lowest Common Multiple of 3957,4959

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.

3957 x 4959 = 19622763

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.

3957 : 1, 3, 1319, 3957

4959 : 1, 3, 9, 19, 29, 57, 87, 171, 261, 551, 1653, 4959

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3957,4959, is 3.

Now, the common factors can be found like this.

3957:3x 1319

4959:3x 3x 19x 29

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 = 19622763/(3x1)

LCM = 19622763/3

LCM = 6540921

Thus, we can understand that the LCM of 3957,4959 is 6540921.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 3957, 4959

1. What is the LCM of 3957, 4959?

Answer: LCM of 3957, 4959 is 6540921.

2. How to calculate the LCM of 3957, 4959?

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 3957, 4959.

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}.