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LCM of 7466, 8124

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


Find the LCM of 7466, 8124 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 7466, 8124. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 7466,8124

Given numbers are 7466,8124

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

The LCM of 7466,8124 is 30326892.

Find LCM of 7466,8124 with Prime Factorization


2 7466, 8124
3733, 4062

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

2 x 3733 x 4062 = 30326892

Therefore, the lowest common multiple of 7466,8124 is 30326892.

LCM Formula to Find Lowest Common Multiple of 7466,8124

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.

7466 x 8124 = 60653784

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.

7466 : 1, 2, 3733, 7466

8124 : 1, 2, 3, 4, 6, 12, 677, 1354, 2031, 2708, 4062, 8124

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7466,8124, is 2.

Now, the common factors can be found like this.

7466:2x 3733

8124:2x 2x 3x 677

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 = 60653784/(2x1)

LCM = 60653784/2

LCM = 30326892

Thus, we can understand that the LCM of 7466,8124 is 30326892.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 7466, 8124

1. What is the LCM of 7466, 8124?

Answer: LCM of 7466, 8124 is 30326892.

2. How to calculate the LCM of 7466, 8124?

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 7466, 8124.

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}.