Given numbers are 3723,2259

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

The LCM of 3723,2259 is 2803419.

Find LCM of 3723,2259 with Prime Factorization

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

3 x 1241 x 753 = 2803419

Therefore, the lowest common multiple of 3723,2259 is 2803419.

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.

3723 x 2259 = 8410257

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.

3723 : 1, 3, 17, 51, 73, 219, 1241, 3723

2259 : 1, 3, 9, 251, 753, 2259

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3723,2259, is 3.

Now, the common factors can be found like this.

3723:3x 17x 73

2259:3x 3x 251

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 = 8410257/(3x1)

LCM = 8410257/3

LCM = 2803419

Thus, we can understand that the LCM of 3723,2259 is 2803419.

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

• LCM of 6279, 8801
• LCM of 2889, 7675
• LCM of 1117, 3154
• LCM of 3481, 3901
• LCM of 3660, 2495

1. What is the LCM of 3723, 2259?

Answer: LCM of 3723, 2259 is 2803419.

2. How to calculate the LCM of 3723, 2259?

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 3723, 2259.

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}.