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LCM of 5354, 3954

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


Find the LCM of 5354, 3954 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 5354, 3954. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 5354,3954

Given numbers are 5354,3954

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

The LCM of 5354,3954 is 10584858.

Find LCM of 5354,3954 with Prime Factorization


2 5354, 3954
2677, 1977

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

2 x 2677 x 1977 = 10584858

Therefore, the lowest common multiple of 5354,3954 is 10584858.

LCM Formula to Find Lowest Common Multiple of 5354,3954

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.

5354 x 3954 = 21169716

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.

5354 : 1, 2, 2677, 5354

3954 : 1, 2, 3, 6, 659, 1318, 1977, 3954

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5354,3954, is 2.

Now, the common factors can be found like this.

5354:2x 2677

3954:2x 3x 659

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 = 21169716/(2x1)

LCM = 21169716/2

LCM = 10584858

Thus, we can understand that the LCM of 5354,3954 is 10584858.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 5354, 3954

1. What is the LCM of 5354, 3954?

Answer: LCM of 5354, 3954 is 10584858.

2. How to calculate the LCM of 5354, 3954?

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 5354, 3954.

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}.