Given numbers are 6837,2014

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

The LCM of 6837,2014 is 259806.

Find LCM of 6837,2014 with Prime Factorization

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

53 x 129 x 38 = 259806

Therefore, the lowest common multiple of 6837,2014 is 259806.

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.

6837 x 2014 = 13769718

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.

6837 : 1, 3, 43, 53, 129, 159, 2279, 6837

2014 : 1, 2, 19, 38, 53, 106, 1007, 2014

53 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6837,2014, is 53.

Now, the common factors can be found like this.

6837:3x 43x 53

2014:2x 19x 53

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 = 13769718/(53x1)

LCM = 13769718/53

LCM = 259806

Thus, we can understand that the LCM of 6837,2014 is 259806.

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

• LCM of 7626, 5495
• LCM of 3463, 7367
• LCM of 1938, 6520
• LCM of 6972, 1324
• LCM of 4012, 6711

1. What is the LCM of 6837, 2014?

Answer: LCM of 6837, 2014 is 259806.

2. How to calculate the LCM of 6837, 2014?

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 6837, 2014.

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}.