Given numbers are 6309,7071

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

The LCM of 6309,7071 is 14870313.

Find LCM of 6309,7071 with Prime Factorization

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

3 x 2103 x 2357 = 14870313

Therefore, the lowest common multiple of 6309,7071 is 14870313.

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.

6309 x 7071 = 44610939

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.

6309 : 1, 3, 9, 701, 2103, 6309

7071 : 1, 3, 2357, 7071

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6309,7071, is 3.

Now, the common factors can be found like this.

6309:3x 3x 701

7071:3x 2357

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 = 44610939/(3x1)

LCM = 44610939/3

LCM = 14870313

Thus, we can understand that the LCM of 6309,7071 is 14870313.

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

• LCM of 5719, 8359
• LCM of 2576, 4254
• LCM of 7178, 4515
• LCM of 2249, 8306
• LCM of 6828, 5285

1. What is the LCM of 6309, 7071?

Answer: LCM of 6309, 7071 is 14870313.

2. How to calculate the LCM of 6309, 7071?

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 6309, 7071.

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}.