Given numbers are 2277,8007

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

The LCM of 2277,8007 is 6077313.

Find LCM of 2277,8007 with Prime Factorization

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

3 x 759 x 2669 = 6077313

Therefore, the lowest common multiple of 2277,8007 is 6077313.

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.

2277 x 8007 = 18231939

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.

2277 : 1, 3, 9, 11, 23, 33, 69, 99, 207, 253, 759, 2277

8007 : 1, 3, 17, 51, 157, 471, 2669, 8007

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2277,8007, is 3.

Now, the common factors can be found like this.

2277:3x 3x 11x 23

8007:3x 17x 157

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 = 18231939/(3x1)

LCM = 18231939/3

LCM = 6077313

Thus, we can understand that the LCM of 2277,8007 is 6077313.

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

• LCM of 3997, 9341
• LCM of 2970, 1172
• LCM of 2393, 9383
• LCM of 8626, 8217
• LCM of 5999, 5559

1. What is the LCM of 2277, 8007?

Answer: LCM of 2277, 8007 is 6077313.

2. How to calculate the LCM of 2277, 8007?

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 2277, 8007.

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}.