Given numbers are 2001,3687

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

The LCM of 2001,3687 is 2459229.

Find LCM of 2001,3687 with Prime Factorization

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

3 x 667 x 1229 = 2459229

Therefore, the lowest common multiple of 2001,3687 is 2459229.

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.

2001 x 3687 = 7377687

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.

2001 : 1, 3, 23, 29, 69, 87, 667, 2001

3687 : 1, 3, 1229, 3687

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2001,3687, is 3.

Now, the common factors can be found like this.

2001:3x 23x 29

3687:3x 1229

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 = 7377687/(3x1)

LCM = 7377687/3

LCM = 2459229

Thus, we can understand that the LCM of 2001,3687 is 2459229.

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

• LCM of 2808, 4410
• LCM of 9678, 2632
• LCM of 9684, 5639
• LCM of 3972, 3091
• LCM of 9094, 4751

1. What is the LCM of 2001, 3687?

Answer: LCM of 2001, 3687 is 2459229.

2. How to calculate the LCM of 2001, 3687?

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 2001, 3687.

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}.