Find the LCM of 6109, 7134 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 6109, 7134. So, keep reading to learn more.
Given numbers are 6109,7134
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 6109,7134 is 1062966.
Find LCM of 6109,7134 with Prime Factorization
| 41 | 6109, 7134 |
| 149, 174 |
Multiply the prime numbers at the bottom and the left side.
41 x 149 x 174 = 1062966
Therefore, the lowest common multiple of 6109,7134 is 1062966.
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.
6109 x 7134 = 43581606
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.
6109 : 1, 41, 149, 6109
7134 : 1, 2, 3, 6, 29, 41, 58, 82, 87, 123, 174, 246, 1189, 2378, 3567, 7134
41 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6109,7134, is 41.
Now, the common factors can be found like this.
6109:41x 149
7134:2x 3x 29x 41
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 = 43581606/(41x1)
LCM = 43581606/41
LCM = 1062966
Thus, we can understand that the LCM of 6109,7134 is 1062966.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 6109, 7134?
Answer: LCM of 6109, 7134 is 1062966.
2. How to calculate the LCM of 6109, 7134?
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 6109, 7134.
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}.