Given numbers are 2314,3708

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

The LCM of 2314,3708 is 4290156.

Find LCM of 2314,3708 with Prime Factorization

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

2 x 1157 x 1854 = 4290156

Therefore, the lowest common multiple of 2314,3708 is 4290156.

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.

2314 x 3708 = 8580312

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.

2314 : 1, 2, 13, 26, 89, 178, 1157, 2314

3708 : 1, 2, 3, 4, 6, 9, 12, 18, 36, 103, 206, 309, 412, 618, 927, 1236, 1854, 3708

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2314,3708, is 2.

Now, the common factors can be found like this.

2314:2x 13x 89

3708:2x 2x 3x 3x 103

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 = 8580312/(2x1)

LCM = 8580312/2

LCM = 4290156

Thus, we can understand that the LCM of 2314,3708 is 4290156.

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

• LCM of 4709, 7592
• LCM of 8097, 3687
• LCM of 5092, 6606
• LCM of 3279, 2278
• LCM of 3302, 3043

1. What is the LCM of 2314, 3708?

Answer: LCM of 2314, 3708 is 4290156.

2. How to calculate the LCM of 2314, 3708?

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 2314, 3708.

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}.