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LCM of 5874, 5963

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


Find the LCM of 5874, 5963 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 5874, 5963. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 5874,5963

Given numbers are 5874,5963

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

The LCM of 5874,5963 is 393558.

Find LCM of 5874,5963 with Prime Factorization


89 5874, 5963
66, 67

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

89 x 66 x 67 = 393558

Therefore, the lowest common multiple of 5874,5963 is 393558.

LCM Formula to Find Lowest Common Multiple of 5874,5963

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.

5874 x 5963 = 35026662

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.

5874 : 1, 2, 3, 6, 11, 22, 33, 66, 89, 178, 267, 534, 979, 1958, 2937, 5874

5963 : 1, 67, 89, 5963

89 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5874,5963, is 89.

Now, the common factors can be found like this.

5874:2x 3x 11x 89

5963:67x 89

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 = 35026662/(89x1)

LCM = 35026662/89

LCM = 393558

Thus, we can understand that the LCM of 5874,5963 is 393558.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 5874, 5963

1. What is the LCM of 5874, 5963?

Answer: LCM of 5874, 5963 is 393558.

2. How to calculate the LCM of 5874, 5963?

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 5874, 5963.

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}.