Given numbers are 6351,8214

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

The LCM of 6351,8214 is 17389038.

Find LCM of 6351,8214 with Prime Factorization

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

3 x 2117 x 2738 = 17389038

Therefore, the lowest common multiple of 6351,8214 is 17389038.

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.

6351 x 8214 = 52167114

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.

6351 : 1, 3, 29, 73, 87, 219, 2117, 6351

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6351,8214, is 3.

Now, the common factors can be found like this.

6351:3x 29x 73

8214:2x 3x 37x 37

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 = 52167114/(3x1)

LCM = 52167114/3

LCM = 17389038

Thus, we can understand that the LCM of 6351,8214 is 17389038.

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

• LCM of 3783, 3962
• LCM of 9879, 1528
• LCM of 7738, 8393
• LCM of 2523, 6362
• LCM of 5755, 3667

1. What is the LCM of 6351, 8214?

Answer: LCM of 6351, 8214 is 17389038.

2. How to calculate the LCM of 6351, 8214?

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 6351, 8214.

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}.