Given numbers are 4214,5596

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

The LCM of 4214,5596 is 11790772.

Find LCM of 4214,5596 with Prime Factorization

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

2 x 2107 x 2798 = 11790772

Therefore, the lowest common multiple of 4214,5596 is 11790772.

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.

4214 x 5596 = 23581544

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.

4214 : 1, 2, 7, 14, 43, 49, 86, 98, 301, 602, 2107, 4214

5596 : 1, 2, 4, 1399, 2798, 5596

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4214,5596, is 2.

Now, the common factors can be found like this.

4214:2x 7x 7x 43

5596:2x 2x 1399

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 = 23581544/(2x1)

LCM = 23581544/2

LCM = 11790772

Thus, we can understand that the LCM of 4214,5596 is 11790772.

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

• LCM of 9707, 7982
• LCM of 7588, 5906
• LCM of 3477, 1906
• LCM of 3464, 1415
• LCM of 3853, 4513

1. What is the LCM of 4214, 5596?

Answer: LCM of 4214, 5596 is 11790772.

2. How to calculate the LCM of 4214, 5596?

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 4214, 5596.

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}.