Given numbers are 2565,1305

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

The LCM of 2565,1305 is 74385.

Find LCM of 2565,1305 with Prime Factorization

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

3 x 3 x 5 x 57 x 29 = 74385

Therefore, the lowest common multiple of 2565,1305 is 74385.

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.

2565 x 1305 = 3347325

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.

2565 : 1, 3, 5, 9, 15, 19, 27, 45, 57, 95, 135, 171, 285, 513, 855, 2565

1305 : 1, 3, 5, 9, 15, 29, 45, 87, 145, 261, 435, 1305

45 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2565,1305, is 45.

Now, the common factors can be found like this.

2565:3x 3x 3x 5x 19

1305:3x 3x 5x 29

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 = 3347325/(45x1)

LCM = 3347325/45

LCM = 74385

Thus, we can understand that the LCM of 2565,1305 is 74385.

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

• LCM of 5856, 5662
• LCM of 9747, 5562
• LCM of 8944, 4170
• LCM of 1696, 4449
• LCM of 5578, 6015

1. What is the LCM of 2565, 1305?

Answer: LCM of 2565, 1305 is 74385.

2. How to calculate the LCM of 2565, 1305?

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 2565, 1305.

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}.