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LCM of 1269, 2259

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


Find the LCM of 1269, 2259 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 1269, 2259. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 1269,2259

Given numbers are 1269,2259

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

The LCM of 1269,2259 is 318519.

Find LCM of 1269,2259 with Prime Factorization


3 1269, 2259
3 423, 753
141, 251

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

3 x 3 x 141 x 251 = 318519

Therefore, the lowest common multiple of 1269,2259 is 318519.

LCM Formula to Find Lowest Common Multiple of 1269,2259

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.

1269 x 2259 = 2866671

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.

1269 : 1, 3, 9, 27, 47, 141, 423, 1269

2259 : 1, 3, 9, 251, 753, 2259

9 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1269,2259, is 9.

Now, the common factors can be found like this.

1269:3x 3x 3x 47

2259:3x 3x 251

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 = 2866671/(9x1)

LCM = 2866671/9

LCM = 318519

Thus, we can understand that the LCM of 1269,2259 is 318519.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 1269, 2259

1. What is the LCM of 1269, 2259?

Answer: LCM of 1269, 2259 is 318519.

2. How to calculate the LCM of 1269, 2259?

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 1269, 2259.

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}.