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LCM of 7026, 8722

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


Find the LCM of 7026, 8722 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 7026, 8722. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 7026,8722

Given numbers are 7026,8722

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

The LCM of 7026,8722 is 30640386.

Find LCM of 7026,8722 with Prime Factorization


2 7026, 8722
3513, 4361

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

2 x 3513 x 4361 = 30640386

Therefore, the lowest common multiple of 7026,8722 is 30640386.

LCM Formula to Find Lowest Common Multiple of 7026,8722

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.

7026 x 8722 = 61280772

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.

7026 : 1, 2, 3, 6, 1171, 2342, 3513, 7026

8722 : 1, 2, 7, 14, 49, 89, 98, 178, 623, 1246, 4361, 8722

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7026,8722, is 2.

Now, the common factors can be found like this.

7026:2x 3x 1171

8722:2x 7x 7x 89

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 = 61280772/(2x1)

LCM = 61280772/2

LCM = 30640386

Thus, we can understand that the LCM of 7026,8722 is 30640386.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 7026, 8722

1. What is the LCM of 7026, 8722?

Answer: LCM of 7026, 8722 is 30640386.

2. How to calculate the LCM of 7026, 8722?

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 7026, 8722.

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}.