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LCM of 9076, 7472

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


Find the LCM of 9076, 7472 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 9076, 7472. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9076,7472

Given numbers are 9076,7472

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

The LCM of 9076,7472 is 16953968.

Find LCM of 9076,7472 with Prime Factorization


2 9076, 7472
2 4538, 3736
2269, 1868

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

2 x 2 x 2269 x 1868 = 16953968

Therefore, the lowest common multiple of 9076,7472 is 16953968.

LCM Formula to Find Lowest Common Multiple of 9076,7472

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.

9076 x 7472 = 67815872

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.

9076 : 1, 2, 4, 2269, 4538, 9076

7472 : 1, 2, 4, 8, 16, 467, 934, 1868, 3736, 7472

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9076,7472, is 4.

Now, the common factors can be found like this.

9076:2x 2x 2269

7472:2x 2x 2x 2x 467

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 = 67815872/(4x1)

LCM = 67815872/4

LCM = 16953968

Thus, we can understand that the LCM of 9076,7472 is 16953968.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 9076, 7472

1. What is the LCM of 9076, 7472?

Answer: LCM of 9076, 7472 is 16953968.

2. How to calculate the LCM of 9076, 7472?

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 9076, 7472.

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}.