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LCM of 5475, 9189

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


Find the LCM of 5475, 9189 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 5475, 9189. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 5475,9189

Given numbers are 5475,9189

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

The LCM of 5475,9189 is 16769925.

Find LCM of 5475,9189 with Prime Factorization


3 5475, 9189
1825, 3063

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

3 x 1825 x 3063 = 16769925

Therefore, the lowest common multiple of 5475,9189 is 16769925.

LCM Formula to Find Lowest Common Multiple of 5475,9189

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.

5475 x 9189 = 50309775

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.

5475 : 1, 3, 5, 15, 25, 73, 75, 219, 365, 1095, 1825, 5475

9189 : 1, 3, 9, 1021, 3063, 9189

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5475,9189, is 3.

Now, the common factors can be found like this.

5475:3x 5x 5x 73

9189:3x 3x 1021

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 = 50309775/(3x1)

LCM = 50309775/3

LCM = 16769925

Thus, we can understand that the LCM of 5475,9189 is 16769925.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 5475, 9189

1. What is the LCM of 5475, 9189?

Answer: LCM of 5475, 9189 is 16769925.

2. How to calculate the LCM of 5475, 9189?

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 5475, 9189.

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}.