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LCM of 2708, 9452

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


Find the LCM of 2708, 9452 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 2708, 9452. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 2708,9452

Given numbers are 2708,9452

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

The LCM of 2708,9452 is 6399004.

Find LCM of 2708,9452 with Prime Factorization


2 2708, 9452
2 1354, 4726
677, 2363

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

2 x 2 x 677 x 2363 = 6399004

Therefore, the lowest common multiple of 2708,9452 is 6399004.

LCM Formula to Find Lowest Common Multiple of 2708,9452

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.

2708 x 9452 = 25596016

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.

2708 : 1, 2, 4, 677, 1354, 2708

9452 : 1, 2, 4, 17, 34, 68, 139, 278, 556, 2363, 4726, 9452

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2708,9452, is 4.

Now, the common factors can be found like this.

2708:2x 2x 677

9452:2x 2x 17x 139

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 = 25596016/(4x1)

LCM = 25596016/4

LCM = 6399004

Thus, we can understand that the LCM of 2708,9452 is 6399004.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 2708, 9452

1. What is the LCM of 2708, 9452?

Answer: LCM of 2708, 9452 is 6399004.

2. How to calculate the LCM of 2708, 9452?

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 2708, 9452.

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}.