Given numbers are 5307,9969

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

The LCM of 5307,9969 is 17635161.

Find LCM of 5307,9969 with Prime Factorization

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

3 x 1769 x 3323 = 17635161

Therefore, the lowest common multiple of 5307,9969 is 17635161.

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.

5307 x 9969 = 52905483

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.

5307 : 1, 3, 29, 61, 87, 183, 1769, 5307

9969 : 1, 3, 3323, 9969

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5307,9969, is 3.

Now, the common factors can be found like this.

5307:3x 29x 61

9969:3x 3323

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 = 52905483/(3x1)

LCM = 52905483/3

LCM = 17635161

Thus, we can understand that the LCM of 5307,9969 is 17635161.

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

• LCM of 7585, 1364
• LCM of 5798, 9788
• LCM of 1074, 8101
• LCM of 5864, 3011
• LCM of 1953, 3596

1. What is the LCM of 5307, 9969?

Answer: LCM of 5307, 9969 is 17635161.

2. How to calculate the LCM of 5307, 9969?

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 5307, 9969.

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}.