Given numbers are 2031,2214

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

The LCM of 2031,2214 is 1498878.

Find LCM of 2031,2214 with Prime Factorization

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

3 x 677 x 738 = 1498878

Therefore, the lowest common multiple of 2031,2214 is 1498878.

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.

2031 x 2214 = 4496634

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.

2031 : 1, 3, 677, 2031

2214 : 1, 2, 3, 6, 9, 18, 27, 41, 54, 82, 123, 246, 369, 738, 1107, 2214

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2031,2214, is 3.

Now, the common factors can be found like this.

2031:3x 677

2214:2x 3x 3x 3x 41

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 = 4496634/(3x1)

LCM = 4496634/3

LCM = 1498878

Thus, we can understand that the LCM of 2031,2214 is 1498878.

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

• LCM of 3185, 9200
• LCM of 2167, 5112
• LCM of 2126, 9713
• LCM of 4878, 8478
• LCM of 9470, 1491

1. What is the LCM of 2031, 2214?

Answer: LCM of 2031, 2214 is 1498878.

2. How to calculate the LCM of 2031, 2214?

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 2031, 2214.

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}.