Given numbers are 3009,6543

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

The LCM of 3009,6543 is 6562629.

Find LCM of 3009,6543 with Prime Factorization

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

3 x 1003 x 2181 = 6562629

Therefore, the lowest common multiple of 3009,6543 is 6562629.

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.

3009 x 6543 = 19687887

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.

3009 : 1, 3, 17, 51, 59, 177, 1003, 3009

6543 : 1, 3, 9, 727, 2181, 6543

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3009,6543, is 3.

Now, the common factors can be found like this.

3009:3x 17x 59

6543:3x 3x 727

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 = 19687887/(3x1)

LCM = 19687887/3

LCM = 6562629

Thus, we can understand that the LCM of 3009,6543 is 6562629.

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

• LCM of 9498, 4913
• LCM of 2529, 5794
• LCM of 6749, 1171
• LCM of 6183, 2847
• LCM of 9084, 1159

1. What is the LCM of 3009, 6543?

Answer: LCM of 3009, 6543 is 6562629.

2. How to calculate the LCM of 3009, 6543?

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 3009, 6543.

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}.