Given numbers are 6567,6906

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

The LCM of 6567,6906 is 15117234.

Find LCM of 6567,6906 with Prime Factorization

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

3 x 2189 x 2302 = 15117234

Therefore, the lowest common multiple of 6567,6906 is 15117234.

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.

6567 x 6906 = 45351702

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.

6567 : 1, 3, 11, 33, 199, 597, 2189, 6567

6906 : 1, 2, 3, 6, 1151, 2302, 3453, 6906

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6567,6906, is 3.

Now, the common factors can be found like this.

6567:3x 11x 199

6906:2x 3x 1151

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 = 45351702/(3x1)

LCM = 45351702/3

LCM = 15117234

Thus, we can understand that the LCM of 6567,6906 is 15117234.

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

• LCM of 2313, 9998
• LCM of 7247, 9031
• LCM of 5066, 9432
• LCM of 4462, 3683
• LCM of 7875, 9105

1. What is the LCM of 6567, 6906?

Answer: LCM of 6567, 6906 is 15117234.

2. How to calculate the LCM of 6567, 6906?

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 6567, 6906.

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}.