Given numbers are 8214,7511

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

The LCM of 8214,7511 is 1667442.

Find LCM of 8214,7511 with Prime Factorization

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

37 x 222 x 203 = 1667442

Therefore, the lowest common multiple of 8214,7511 is 1667442.

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.

8214 x 7511 = 61695354

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.

8214 : 1, 2, 3, 6, 37, 74, 111, 222, 1369, 2738, 4107, 8214

7511 : 1, 7, 29, 37, 203, 259, 1073, 7511

37 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8214,7511, is 37.

Now, the common factors can be found like this.

8214:2x 3x 37x 37

7511:7x 29x 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 = 61695354/(37x1)

LCM = 61695354/37

LCM = 1667442

Thus, we can understand that the LCM of 8214,7511 is 1667442.

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

• LCM of 1408, 8429
• LCM of 8312, 7375
• LCM of 7779, 5618
• LCM of 9938, 7803
• LCM of 7183, 6692

1. What is the LCM of 8214, 7511?

Answer: LCM of 8214, 7511 is 1667442.

2. How to calculate the LCM of 8214, 7511?

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 8214, 7511.

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}.