Given numbers are 2178,2255

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

The LCM of 2178,2255 is 446490.

Find LCM of 2178,2255 with Prime Factorization

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

11 x 198 x 205 = 446490

Therefore, the lowest common multiple of 2178,2255 is 446490.

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.

2178 x 2255 = 4911390

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.

2178 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 121, 198, 242, 363, 726, 1089, 2178

2255 : 1, 5, 11, 41, 55, 205, 451, 2255

11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2178,2255, is 11.

Now, the common factors can be found like this.

2178:2x 3x 3x 11x 11

2255:5x 11x 41

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 = 4911390/(11x1)

LCM = 4911390/11

LCM = 446490

Thus, we can understand that the LCM of 2178,2255 is 446490.

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

• LCM of 1494, 7532
• LCM of 9761, 6965
• LCM of 2648, 2772
• LCM of 5187, 1976
• LCM of 1111, 2901

1. What is the LCM of 2178, 2255?

Answer: LCM of 2178, 2255 is 446490.

2. How to calculate the LCM of 2178, 2255?

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 2178, 2255.

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}.