Given numbers are 3678,7659

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

The LCM of 3678,7659 is 9389934.

Find LCM of 3678,7659 with Prime Factorization

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

3 x 1226 x 2553 = 9389934

Therefore, the lowest common multiple of 3678,7659 is 9389934.

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.

3678 x 7659 = 28169802

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.

3678 : 1, 2, 3, 6, 613, 1226, 1839, 3678

7659 : 1, 3, 9, 23, 37, 69, 111, 207, 333, 851, 2553, 7659

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3678,7659, is 3.

Now, the common factors can be found like this.

3678:2x 3x 613

7659:3x 3x 23x 37

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 = 28169802/(3x1)

LCM = 28169802/3

LCM = 9389934

Thus, we can understand that the LCM of 3678,7659 is 9389934.

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

• LCM of 7605, 9580
• LCM of 5909, 4121
• LCM of 2550, 3702
• LCM of 9434, 1203
• LCM of 4225, 5916

1. What is the LCM of 3678, 7659?

Answer: LCM of 3678, 7659 is 9389934.

2. How to calculate the LCM of 3678, 7659?

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 3678, 7659.

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}.