Given numbers are 6114,5410

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

The LCM of 6114,5410 is 16538370.

Find LCM of 6114,5410 with Prime Factorization

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

2 x 3057 x 2705 = 16538370

Therefore, the lowest common multiple of 6114,5410 is 16538370.

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.

6114 x 5410 = 33076740

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.

6114 : 1, 2, 3, 6, 1019, 2038, 3057, 6114

5410 : 1, 2, 5, 10, 541, 1082, 2705, 5410

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6114,5410, is 2.

Now, the common factors can be found like this.

6114:2x 3x 1019

5410:2x 5x 541

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 = 33076740/(2x1)

LCM = 33076740/2

LCM = 16538370

Thus, we can understand that the LCM of 6114,5410 is 16538370.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 5936, 6244
• LCM of 4816, 6011
• LCM of 2576, 5623
• LCM of 4233, 7982
• LCM of 8820, 1093

1. What is the LCM of 6114, 5410?

Answer: LCM of 6114, 5410 is 16538370.

2. How to calculate the LCM of 6114, 5410?

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 6114, 5410.

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}.