Given numbers are 6738,1293

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

The LCM of 6738,1293 is 2904078.

Find LCM of 6738,1293 with Prime Factorization

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

3 x 2246 x 431 = 2904078

Therefore, the lowest common multiple of 6738,1293 is 2904078.

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.

6738 x 1293 = 8712234

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.

6738 : 1, 2, 3, 6, 1123, 2246, 3369, 6738

1293 : 1, 3, 431, 1293

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6738,1293, is 3.

Now, the common factors can be found like this.

6738:2x 3x 1123

1293:3x 431

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 = 8712234/(3x1)

LCM = 8712234/3

LCM = 2904078

Thus, we can understand that the LCM of 6738,1293 is 2904078.

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

• LCM of 9370, 7918
• LCM of 2967, 3776
• LCM of 5688, 7966
• LCM of 9084, 6802
• LCM of 6186, 6017

1. What is the LCM of 6738, 1293?

Answer: LCM of 6738, 1293 is 2904078.

2. How to calculate the LCM of 6738, 1293?

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 6738, 1293.

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}.