Given numbers are 8305,2114

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

The LCM of 8305,2114 is 116270.

Find LCM of 8305,2114 with Prime Factorization

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

151 x 55 x 14 = 116270

Therefore, the lowest common multiple of 8305,2114 is 116270.

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.

8305 x 2114 = 17556770

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.

8305 : 1, 5, 11, 55, 151, 755, 1661, 8305

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

151 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8305,2114, is 151.

Now, the common factors can be found like this.

8305:5x 11x 151

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 = 17556770/(151x1)

LCM = 17556770/151

LCM = 116270

Thus, we can understand that the LCM of 8305,2114 is 116270.

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

• LCM of 7784, 4699
• LCM of 3267, 2914
• LCM of 7348, 9480
• LCM of 8865, 4454
• LCM of 6086, 1890

1. What is the LCM of 8305, 2114?

Answer: LCM of 8305, 2114 is 116270.

2. How to calculate the LCM of 8305, 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 8305, 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}.