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LCM of 4569, 3441

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


Find the LCM of 4569, 3441 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 4569, 3441. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 4569,3441

Given numbers are 4569,3441

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

The LCM of 4569,3441 is 5240643.

Find LCM of 4569,3441 with Prime Factorization


3 4569, 3441
1523, 1147

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

3 x 1523 x 1147 = 5240643

Therefore, the lowest common multiple of 4569,3441 is 5240643.

LCM Formula to Find Lowest Common Multiple of 4569,3441

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.

4569 x 3441 = 15721929

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.

4569 : 1, 3, 1523, 4569

3441 : 1, 3, 31, 37, 93, 111, 1147, 3441

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4569,3441, is 3.

Now, the common factors can be found like this.

4569:3x 1523

3441:3x 31x 37

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 = 15721929/(3x1)

LCM = 15721929/3

LCM = 5240643

Thus, we can understand that the LCM of 4569,3441 is 5240643.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 4569, 3441

1. What is the LCM of 4569, 3441?

Answer: LCM of 4569, 3441 is 5240643.

2. How to calculate the LCM of 4569, 3441?

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 4569, 3441.

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}.