LCM of 6306, 7095
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 6306, 7095 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 6306, 7095. So, keep reading to learn more.
Given numbers are 6306,7095
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 6306,7095 is 14913690.
Find LCM of 6306,7095 with Prime Factorization
| 3 | 6306, 7095 |
| 2102, 2365 |
Multiply the prime numbers at the bottom and the left side.
3 x 2102 x 2365 = 14913690
Therefore, the lowest common multiple of 6306,7095 is 14913690.
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.
6306 x 7095 = 44741070
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.
6306 : 1, 2, 3, 6, 1051, 2102, 3153, 6306
7095 : 1, 3, 5, 11, 15, 33, 43, 55, 129, 165, 215, 473, 645, 1419, 2365, 7095
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6306,7095, is 3.
Now, the common factors can be found like this.
6306:2x 3x 1051
7095:3x 5x 11x 43
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 = 44741070/(3x1)
LCM = 44741070/3
LCM = 14913690
Thus, we can understand that the LCM of 6306,7095 is 14913690.
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FAQs on LCM of 6306, 7095
1. What is the LCM of 6306, 7095?
Answer: LCM of 6306, 7095 is 14913690.
2. How to calculate the LCM of 6306, 7095?
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 6306, 7095.
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}.