Given numbers are 6723,9711

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

The LCM of 6723,9711 is 87399.

Find LCM of 6723,9711 with Prime Factorization

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

3 x 3 x 83 x 9 x 13 = 87399

Therefore, the lowest common multiple of 6723,9711 is 87399.

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.

6723 x 9711 = 65287053

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.

6723 : 1, 3, 9, 27, 81, 83, 249, 747, 2241, 6723

9711 : 1, 3, 9, 13, 39, 83, 117, 249, 747, 1079, 3237, 9711

747 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6723,9711, is 747.

Now, the common factors can be found like this.

6723:3x 3x 3x 3x 83

9711:3x 3x 13x 83

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 = 65287053/(747x1)

LCM = 65287053/747

LCM = 87399

Thus, we can understand that the LCM of 6723,9711 is 87399.

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

• LCM of 9926, 2266
• LCM of 1779, 8785
• LCM of 2607, 6464
• LCM of 4045, 8663
• LCM of 7929, 6539

1. What is the LCM of 6723, 9711?

Answer: LCM of 6723, 9711 is 87399.

2. How to calculate the LCM of 6723, 9711?

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 6723, 9711.

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}.