Given numbers are 7569,4509

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

The LCM of 7569,4509 is 3792069.

Find LCM of 7569,4509 with Prime Factorization

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

3 x 3 x 841 x 501 = 3792069

Therefore, the lowest common multiple of 7569,4509 is 3792069.

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.

7569 x 4509 = 34128621

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.

7569 : 1, 3, 9, 29, 87, 261, 841, 2523, 7569

4509 : 1, 3, 9, 27, 167, 501, 1503, 4509

9 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7569,4509, is 9.

Now, the common factors can be found like this.

7569:3x 3x 29x 29

4509:3x 3x 3x 167

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 = 34128621/(9x1)

LCM = 34128621/9

LCM = 3792069

Thus, we can understand that the LCM of 7569,4509 is 3792069.

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

• LCM of 3887, 1047
• LCM of 6416, 1215
• LCM of 1069, 7623
• LCM of 3807, 8802
• LCM of 7854, 1974

1. What is the LCM of 7569, 4509?

Answer: LCM of 7569, 4509 is 3792069.

2. How to calculate the LCM of 7569, 4509?

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 7569, 4509.

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}.