Find the LCM of 9364, 6924 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 9364, 6924. So, keep reading to learn more.
Given numbers are 9364,6924
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 9364,6924 is 16209084.
Find LCM of 9364,6924 with Prime Factorization
| 2 | 9364, 6924 |
| 2 | 4682, 3462 |
| 2341, 1731 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2341 x 1731 = 16209084
Therefore, the lowest common multiple of 9364,6924 is 16209084.
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.
9364 x 6924 = 64836336
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.
9364 : 1, 2, 4, 2341, 4682, 9364
6924 : 1, 2, 3, 4, 6, 12, 577, 1154, 1731, 2308, 3462, 6924
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9364,6924, is 4.
Now, the common factors can be found like this.
9364:2x 2x 2341
6924:2x 2x 3x 577
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 = 64836336/(4x1)
LCM = 64836336/4
LCM = 16209084
Thus, we can understand that the LCM of 9364,6924 is 16209084.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 9364, 6924?
Answer: LCM of 9364, 6924 is 16209084.
2. How to calculate the LCM of 9364, 6924?
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 9364, 6924.
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}.