Given numbers are 6467,3509

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

The LCM of 6467,3509 is 782507.

Find LCM of 6467,3509 with Prime Factorization

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

29 x 223 x 121 = 782507

Therefore, the lowest common multiple of 6467,3509 is 782507.

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.

6467 x 3509 = 22692703

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.

6467 : 1, 29, 223, 6467

3509 : 1, 11, 29, 121, 319, 3509

29 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6467,3509, is 29.

Now, the common factors can be found like this.

6467:29x 223

3509:11x 11x 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 = 22692703/(29x1)

LCM = 22692703/29

LCM = 782507

Thus, we can understand that the LCM of 6467,3509 is 782507.

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

• LCM of 6163, 6725
• LCM of 8473, 4958
• LCM of 9977, 8578
• LCM of 8955, 7046
• LCM of 9357, 3120

1. What is the LCM of 6467, 3509?

Answer: LCM of 6467, 3509 is 782507.

2. How to calculate the LCM of 6467, 3509?

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 6467, 3509.

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}.