Given numbers are 8228,8506

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

The LCM of 8228,8506 is 34993684.

Find LCM of 8228,8506 with Prime Factorization

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

2 x 4114 x 4253 = 34993684

Therefore, the lowest common multiple of 8228,8506 is 34993684.

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.

8228 x 8506 = 69987368

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.

8228 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 121, 187, 242, 374, 484, 748, 2057, 4114, 8228

8506 : 1, 2, 4253, 8506

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8228,8506, is 2.

Now, the common factors can be found like this.

8228:2x 2x 11x 11x 17

8506:2x 4253

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 = 69987368/(2x1)

LCM = 69987368/2

LCM = 34993684

Thus, we can understand that the LCM of 8228,8506 is 34993684.

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

• LCM of 9859, 6699
• LCM of 4332, 8015
• LCM of 8620, 2998
• LCM of 9151, 5284
• LCM of 8706, 9661

1. What is the LCM of 8228, 8506?

Answer: LCM of 8228, 8506 is 34993684.

2. How to calculate the LCM of 8228, 8506?

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 8228, 8506.

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}.