Given numbers are 4977,6819

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

The LCM of 4977,6819 is 11312721.

Find LCM of 4977,6819 with Prime Factorization

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

3 x 1659 x 2273 = 11312721

Therefore, the lowest common multiple of 4977,6819 is 11312721.

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.

4977 x 6819 = 33938163

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.

4977 : 1, 3, 7, 9, 21, 63, 79, 237, 553, 711, 1659, 4977

6819 : 1, 3, 2273, 6819

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4977,6819, is 3.

Now, the common factors can be found like this.

4977:3x 3x 7x 79

6819:3x 2273

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 = 33938163/(3x1)

LCM = 33938163/3

LCM = 11312721

Thus, we can understand that the LCM of 4977,6819 is 11312721.

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

• LCM of 9521, 5970
• LCM of 7203, 2661
• LCM of 4552, 1762
• LCM of 1021, 1407
• LCM of 7825, 4317

1. What is the LCM of 4977, 6819?

Answer: LCM of 4977, 6819 is 11312721.

2. How to calculate the LCM of 4977, 6819?

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 4977, 6819.

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}.