Given numbers are 2313,4749

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

The LCM of 2313,4749 is 3661479.

Find LCM of 2313,4749 with Prime Factorization

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

3 x 771 x 1583 = 3661479

Therefore, the lowest common multiple of 2313,4749 is 3661479.

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.

2313 x 4749 = 10984437

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.

2313 : 1, 3, 9, 257, 771, 2313

4749 : 1, 3, 1583, 4749

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2313,4749, is 3.

Now, the common factors can be found like this.

2313:3x 3x 257

4749:3x 1583

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 = 10984437/(3x1)

LCM = 10984437/3

LCM = 3661479

Thus, we can understand that the LCM of 2313,4749 is 3661479.

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

• LCM of 6118, 8857
• LCM of 6020, 3715
• LCM of 9325, 7508
• LCM of 9655, 9398
• LCM of 8749, 7905

1. What is the LCM of 2313, 4749?

Answer: LCM of 2313, 4749 is 3661479.

2. How to calculate the LCM of 2313, 4749?

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 2313, 4749.

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}.