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LCM of 5429, 7259

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


Find the LCM of 5429, 7259 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 5429, 7259. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 5429,7259

Given numbers are 5429,7259

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

The LCM of 5429,7259 is 646051.

Find LCM of 5429,7259 with Prime Factorization


61 5429, 7259
89, 119

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

61 x 89 x 119 = 646051

Therefore, the lowest common multiple of 5429,7259 is 646051.

LCM Formula to Find Lowest Common Multiple of 5429,7259

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.

5429 x 7259 = 39409111

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.

5429 : 1, 61, 89, 5429

7259 : 1, 7, 17, 61, 119, 427, 1037, 7259

61 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5429,7259, is 61.

Now, the common factors can be found like this.

5429:61x 89

7259:7x 17x 61

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 = 39409111/(61x1)

LCM = 39409111/61

LCM = 646051

Thus, we can understand that the LCM of 5429,7259 is 646051.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 5429, 7259

1. What is the LCM of 5429, 7259?

Answer: LCM of 5429, 7259 is 646051.

2. How to calculate the LCM of 5429, 7259?

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 5429, 7259.

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}.