Given numbers are 8214,7838

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

The LCM of 8214,7838 is 32190666.

Find LCM of 8214,7838 with Prime Factorization

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

2 x 4107 x 3919 = 32190666

Therefore, the lowest common multiple of 8214,7838 is 32190666.

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.

8214 x 7838 = 64381332

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.

8214 : 1, 2, 3, 6, 37, 74, 111, 222, 1369, 2738, 4107, 8214

7838 : 1, 2, 3919, 7838

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8214,7838, is 2.

Now, the common factors can be found like this.

8214:2x 3x 37x 37

7838:2x 3919

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 = 64381332/(2x1)

LCM = 64381332/2

LCM = 32190666

Thus, we can understand that the LCM of 8214,7838 is 32190666.

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

• LCM of 3783, 6675
• LCM of 1079, 6887
• LCM of 2309, 6432
• LCM of 7633, 6494
• LCM of 5908, 1776

1. What is the LCM of 8214, 7838?

Answer: LCM of 8214, 7838 is 32190666.

2. How to calculate the LCM of 8214, 7838?

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 8214, 7838.

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}.