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LCM of 2358, 5371

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


Find the LCM of 2358, 5371 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 2358, 5371. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 2358,5371

Given numbers are 2358,5371

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

The LCM of 2358,5371 is 96678.

Find LCM of 2358,5371 with Prime Factorization


131 2358, 5371
18, 41

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

131 x 18 x 41 = 96678

Therefore, the lowest common multiple of 2358,5371 is 96678.

LCM Formula to Find Lowest Common Multiple of 2358,5371

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.

2358 x 5371 = 12664818

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.

2358 : 1, 2, 3, 6, 9, 18, 131, 262, 393, 786, 1179, 2358

5371 : 1, 41, 131, 5371

131 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2358,5371, is 131.

Now, the common factors can be found like this.

2358:2x 3x 3x 131

5371:41x 131

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 = 12664818/(131x1)

LCM = 12664818/131

LCM = 96678

Thus, we can understand that the LCM of 2358,5371 is 96678.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 2358, 5371

1. What is the LCM of 2358, 5371?

Answer: LCM of 2358, 5371 is 96678.

2. How to calculate the LCM of 2358, 5371?

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 2358, 5371.

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}.