Given numbers are 5986,4114

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

The LCM of 5986,4114 is 12313202.

Find LCM of 5986,4114 with Prime Factorization

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

2 x 2993 x 2057 = 12313202

Therefore, the lowest common multiple of 5986,4114 is 12313202.

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.

5986 x 4114 = 24626404

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.

5986 : 1, 2, 41, 73, 82, 146, 2993, 5986

4114 : 1, 2, 11, 17, 22, 34, 121, 187, 242, 374, 2057, 4114

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5986,4114, is 2.

Now, the common factors can be found like this.

5986:2x 41x 73

4114:2x 11x 11x 17

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 = 24626404/(2x1)

LCM = 24626404/2

LCM = 12313202

Thus, we can understand that the LCM of 5986,4114 is 12313202.

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

• LCM of 5904, 1878
• LCM of 9802, 7264
• LCM of 9375, 8099
• LCM of 8971, 6890
• LCM of 3508, 6165

1. What is the LCM of 5986, 4114?

Answer: LCM of 5986, 4114 is 12313202.

2. How to calculate the LCM of 5986, 4114?

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 5986, 4114.

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}.