Given numbers are 3687,8172

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

The LCM of 3687,8172 is 10043388.

Find LCM of 3687,8172 with Prime Factorization

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

3 x 1229 x 2724 = 10043388

Therefore, the lowest common multiple of 3687,8172 is 10043388.

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.

3687 x 8172 = 30130164

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.

3687 : 1, 3, 1229, 3687

8172 : 1, 2, 3, 4, 6, 9, 12, 18, 36, 227, 454, 681, 908, 1362, 2043, 2724, 4086, 8172

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3687,8172, is 3.

Now, the common factors can be found like this.

3687:3x 1229

8172:2x 2x 3x 3x 227

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 = 30130164/(3x1)

LCM = 30130164/3

LCM = 10043388

Thus, we can understand that the LCM of 3687,8172 is 10043388.

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

• LCM of 7271, 8758
• LCM of 7239, 8389
• LCM of 8217, 1289
• LCM of 7209, 8194
• LCM of 2172, 3738

1. What is the LCM of 3687, 8172?

Answer: LCM of 3687, 8172 is 10043388.

2. How to calculate the LCM of 3687, 8172?

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 3687, 8172.

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}.