Given numbers are 1958,2114

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

The LCM of 1958,2114 is 2069606.

Find LCM of 1958,2114 with Prime Factorization

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

2 x 979 x 1057 = 2069606

Therefore, the lowest common multiple of 1958,2114 is 2069606.

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.

1958 x 2114 = 4139212

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.

1958 : 1, 2, 11, 22, 89, 178, 979, 1958

2114 : 1, 2, 7, 14, 151, 302, 1057, 2114

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1958,2114, is 2.

Now, the common factors can be found like this.

1958:2x 11x 89

2114:2x 7x 151

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 = 4139212/(2x1)

LCM = 4139212/2

LCM = 2069606

Thus, we can understand that the LCM of 1958,2114 is 2069606.

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

• LCM of 9877, 5084
• LCM of 7838, 5200
• LCM of 3409, 6104
• LCM of 5238, 4659
• LCM of 6806, 9589

1. What is the LCM of 1958, 2114?

Answer: LCM of 1958, 2114 is 2069606.

2. How to calculate the LCM of 1958, 2114?

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 1958, 2114.

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}.