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LCM of 8493, 1639

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


Find the LCM of 8493, 1639 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 8493, 1639. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 8493,1639

Given numbers are 8493,1639

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

The LCM of 8493,1639 is 93423.

Find LCM of 8493,1639 with Prime Factorization


149 8493, 1639
57, 11

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

149 x 57 x 11 = 93423

Therefore, the lowest common multiple of 8493,1639 is 93423.

LCM Formula to Find Lowest Common Multiple of 8493,1639

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.

8493 x 1639 = 13920027

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.

8493 : 1, 3, 19, 57, 149, 447, 2831, 8493

1639 : 1, 11, 149, 1639

149 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8493,1639, is 149.

Now, the common factors can be found like this.

8493:3x 19x 149

1639:11x 149

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 = 13920027/(149x1)

LCM = 13920027/149

LCM = 93423

Thus, we can understand that the LCM of 8493,1639 is 93423.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 8493, 1639

1. What is the LCM of 8493, 1639?

Answer: LCM of 8493, 1639 is 93423.

2. How to calculate the LCM of 8493, 1639?

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 8493, 1639.

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}.