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LCM of 1412, 9452

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


Find the LCM of 1412, 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 1412, 9452. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 1412,9452

Given numbers are 1412,9452

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

The LCM of 1412,9452 is 3336556.

Find LCM of 1412,9452 with Prime Factorization


2 1412, 9452
2 706, 4726
353, 2363

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

2 x 2 x 353 x 2363 = 3336556

Therefore, the lowest common multiple of 1412,9452 is 3336556.

LCM Formula to Find Lowest Common Multiple of 1412,9452

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.

1412 x 9452 = 13346224

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.

1412 : 1, 2, 4, 353, 706, 1412

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 1412,9452, is 4.

Now, the common factors can be found like this.

1412:2x 2x 353

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 = 13346224/(4x1)

LCM = 13346224/4

LCM = 3336556

Thus, we can understand that the LCM of 1412,9452 is 3336556.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 1412, 9452

1. What is the LCM of 1412, 9452?

Answer: LCM of 1412, 9452 is 3336556.

2. How to calculate the LCM of 1412, 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 1412, 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}.