Given numbers are 2178,2013

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

The LCM of 2178,2013 is 132858.

Find LCM of 2178,2013 with Prime Factorization

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

3 x 11 x 66 x 61 = 132858

Therefore, the lowest common multiple of 2178,2013 is 132858.

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 2013 = 4384314

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

2013 : 1, 3, 11, 33, 61, 183, 671, 2013

33 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2178,2013, is 33.

Now, the common factors can be found like this.

2178:2x 3x 3x 11x 11

2013:3x 11x 61

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 = 4384314/(33x1)

LCM = 4384314/33

LCM = 132858

Thus, we can understand that the LCM of 2178,2013 is 132858.

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

• LCM of 6260, 5604
• LCM of 3739, 3024
• LCM of 4688, 4452
• LCM of 4633, 1299
• LCM of 5743, 1160

1. What is the LCM of 2178, 2013?

Answer: LCM of 2178, 2013 is 132858.

2. How to calculate the LCM of 2178, 2013?

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, 2013.

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}.