Given numbers are 5306,6993

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

The LCM of 5306,6993 is 5300694.

Find LCM of 5306,6993 with Prime Factorization

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

7 x 758 x 999 = 5300694

Therefore, the lowest common multiple of 5306,6993 is 5300694.

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.

5306 x 6993 = 37104858

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.

5306 : 1, 2, 7, 14, 379, 758, 2653, 5306

6993 : 1, 3, 7, 9, 21, 27, 37, 63, 111, 189, 259, 333, 777, 999, 2331, 6993

7 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5306,6993, is 7.

Now, the common factors can be found like this.

5306:2x 7x 379

6993:3x 3x 3x 7x 37

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 = 37104858/(7x1)

LCM = 37104858/7

LCM = 5300694

Thus, we can understand that the LCM of 5306,6993 is 5300694.

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

• LCM of 4067, 9592
• LCM of 4389, 3802
• LCM of 7022, 9949
• LCM of 4782, 3286
• LCM of 2644, 9339

1. What is the LCM of 5306, 6993?

Answer: LCM of 5306, 6993 is 5300694.

2. How to calculate the LCM of 5306, 6993?

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 5306, 6993.

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}.