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LCM of 5332, 1628

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


Find the LCM of 5332, 1628 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 5332, 1628. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 5332,1628

Given numbers are 5332,1628

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

The LCM of 5332,1628 is 2170124.

Find LCM of 5332,1628 with Prime Factorization


2 5332, 1628
2 2666, 814
1333, 407

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

2 x 2 x 1333 x 407 = 2170124

Therefore, the lowest common multiple of 5332,1628 is 2170124.

LCM Formula to Find Lowest Common Multiple of 5332,1628

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.

5332 x 1628 = 8680496

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.

5332 : 1, 2, 4, 31, 43, 62, 86, 124, 172, 1333, 2666, 5332

1628 : 1, 2, 4, 11, 22, 37, 44, 74, 148, 407, 814, 1628

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5332,1628, is 4.

Now, the common factors can be found like this.

5332:2x 2x 31x 43

1628:2x 2x 11x 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 = 8680496/(4x1)

LCM = 8680496/4

LCM = 2170124

Thus, we can understand that the LCM of 5332,1628 is 2170124.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 5332, 1628

1. What is the LCM of 5332, 1628?

Answer: LCM of 5332, 1628 is 2170124.

2. How to calculate the LCM of 5332, 1628?

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 5332, 1628.

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}.