Given numbers are 6756,9374

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

The LCM of 6756,9374 is 31665372.

Find LCM of 6756,9374 with Prime Factorization

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

2 x 3378 x 4687 = 31665372

Therefore, the lowest common multiple of 6756,9374 is 31665372.

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.

6756 x 9374 = 63330744

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.

6756 : 1, 2, 3, 4, 6, 12, 563, 1126, 1689, 2252, 3378, 6756

9374 : 1, 2, 43, 86, 109, 218, 4687, 9374

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6756,9374, is 2.

Now, the common factors can be found like this.

6756:2x 2x 3x 563

9374:2x 43x 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 = 63330744/(2x1)

LCM = 63330744/2

LCM = 31665372

Thus, we can understand that the LCM of 6756,9374 is 31665372.

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

• LCM of 4767, 9752
• LCM of 4502, 8962
• LCM of 5616, 1955
• LCM of 1022, 8172
• LCM of 2048, 8549

1. What is the LCM of 6756, 9374?

Answer: LCM of 6756, 9374 is 31665372.

2. How to calculate the LCM of 6756, 9374?

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 6756, 9374.

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}.