Given numbers are 3009,5013

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

The LCM of 3009,5013 is 5028039.

Find LCM of 3009,5013 with Prime Factorization

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

3 x 1003 x 1671 = 5028039

Therefore, the lowest common multiple of 3009,5013 is 5028039.

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 5013 = 15084117

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

5013 : 1, 3, 9, 557, 1671, 5013

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3009,5013, is 3.

Now, the common factors can be found like this.

3009:3x 17x 59

5013:3x 3x 557

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 = 15084117/(3x1)

LCM = 15084117/3

LCM = 5028039

Thus, we can understand that the LCM of 3009,5013 is 5028039.

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

• LCM of 9057, 7817
• LCM of 3747, 2063
• LCM of 2542, 6693
• LCM of 8204, 5084
• LCM of 4442, 8757

1. What is the LCM of 3009, 5013?

Answer: LCM of 3009, 5013 is 5028039.

2. How to calculate the LCM of 3009, 5013?

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, 5013.

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}.