Given numbers are 2378,6758

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

The LCM of 2378,6758 is 8035262.

Find LCM of 2378,6758 with Prime Factorization

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

2 x 1189 x 3379 = 8035262

Therefore, the lowest common multiple of 2378,6758 is 8035262.

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.

2378 x 6758 = 16070524

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.

2378 : 1, 2, 29, 41, 58, 82, 1189, 2378

6758 : 1, 2, 31, 62, 109, 218, 3379, 6758

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2378,6758, is 2.

Now, the common factors can be found like this.

2378:2x 29x 41

6758:2x 31x 109

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 = 16070524/(2x1)

LCM = 16070524/2

LCM = 8035262

Thus, we can understand that the LCM of 2378,6758 is 8035262.

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

• LCM of 3556, 7581
• LCM of 7791, 1898
• LCM of 1953, 1671
• LCM of 2235, 7786
• LCM of 9228, 3476

1. What is the LCM of 2378, 6758?

Answer: LCM of 2378, 6758 is 8035262.

2. How to calculate the LCM of 2378, 6758?

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 2378, 6758.

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}.