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LCM of 7954, 4124

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


Find the LCM of 7954, 4124 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 7954, 4124. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 7954,4124

Given numbers are 7954,4124

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

The LCM of 7954,4124 is 16401148.

Find LCM of 7954,4124 with Prime Factorization


2 7954, 4124
3977, 2062

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

2 x 3977 x 2062 = 16401148

Therefore, the lowest common multiple of 7954,4124 is 16401148.

LCM Formula to Find Lowest Common Multiple of 7954,4124

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.

7954 x 4124 = 32802296

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.

7954 : 1, 2, 41, 82, 97, 194, 3977, 7954

4124 : 1, 2, 4, 1031, 2062, 4124

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7954,4124, is 2.

Now, the common factors can be found like this.

7954:2x 41x 97

4124:2x 2x 1031

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 = 32802296/(2x1)

LCM = 32802296/2

LCM = 16401148

Thus, we can understand that the LCM of 7954,4124 is 16401148.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 7954, 4124

1. What is the LCM of 7954, 4124?

Answer: LCM of 7954, 4124 is 16401148.

2. How to calculate the LCM of 7954, 4124?

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 7954, 4124.

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}.