Given numbers are 6307,2261

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

The LCM of 6307,2261 is 119833.

Find LCM of 6307,2261 with Prime Factorization

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

7 x 17 x 53 x 19 = 119833

Therefore, the lowest common multiple of 6307,2261 is 119833.

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.

6307 x 2261 = 14260127

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.

6307 : 1, 7, 17, 53, 119, 371, 901, 6307

2261 : 1, 7, 17, 19, 119, 133, 323, 2261

119 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6307,2261, is 119.

Now, the common factors can be found like this.

6307:7x 17x 53

2261:7x 17x 19

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 = 14260127/(119x1)

LCM = 14260127/119

LCM = 119833

Thus, we can understand that the LCM of 6307,2261 is 119833.

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

• LCM of 1514, 1806
• LCM of 6589, 4494
• LCM of 1535, 6915
• LCM of 6299, 3765
• LCM of 3381, 6845

1. What is the LCM of 6307, 2261?

Answer: LCM of 6307, 2261 is 119833.

2. How to calculate the LCM of 6307, 2261?

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 6307, 2261.

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}.