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LCM of 4706, 7762

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


Find the LCM of 4706, 7762 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 4706, 7762. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 4706,7762

Given numbers are 4706,7762

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

The LCM of 4706,7762 is 18263986.

Find LCM of 4706,7762 with Prime Factorization


2 4706, 7762
2353, 3881

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

2 x 2353 x 3881 = 18263986

Therefore, the lowest common multiple of 4706,7762 is 18263986.

LCM Formula to Find Lowest Common Multiple of 4706,7762

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.

4706 x 7762 = 36527972

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.

4706 : 1, 2, 13, 26, 181, 362, 2353, 4706

7762 : 1, 2, 3881, 7762

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4706,7762, is 2.

Now, the common factors can be found like this.

4706:2x 13x 181

7762:2x 3881

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 = 36527972/(2x1)

LCM = 36527972/2

LCM = 18263986

Thus, we can understand that the LCM of 4706,7762 is 18263986.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 4706, 7762

1. What is the LCM of 4706, 7762?

Answer: LCM of 4706, 7762 is 18263986.

2. How to calculate the LCM of 4706, 7762?

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 4706, 7762.

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}.