Given numbers are 8314,6128

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

The LCM of 8314,6128 is 25474096.

Find LCM of 8314,6128 with Prime Factorization

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

2 x 4157 x 3064 = 25474096

Therefore, the lowest common multiple of 8314,6128 is 25474096.

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.

8314 x 6128 = 50948192

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.

8314 : 1, 2, 4157, 8314

6128 : 1, 2, 4, 8, 16, 383, 766, 1532, 3064, 6128

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8314,6128, is 2.

Now, the common factors can be found like this.

8314:2x 4157

6128:2x 2x 2x 2x 383

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 = 50948192/(2x1)

LCM = 50948192/2

LCM = 25474096

Thus, we can understand that the LCM of 8314,6128 is 25474096.

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

• LCM of 7759, 1273
• LCM of 1844, 5228
• LCM of 9868, 4423
• LCM of 1064, 4319
• LCM of 6422, 5872

1. What is the LCM of 8314, 6128?

Answer: LCM of 8314, 6128 is 25474096.

2. How to calculate the LCM of 8314, 6128?

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 8314, 6128.

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}.