LCM of 8109, 7956
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 8109, 7956 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 8109, 7956. So, keep reading to learn more.
Given numbers are 8109,7956
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 8109,7956 is 421668.
Find LCM of 8109,7956 with Prime Factorization
| 3 | 8109, 7956 |
| 3 | 2703, 2652 |
| 17 | 901, 884 |
| 53, 52 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 17 x 53 x 52 = 421668
Therefore, the lowest common multiple of 8109,7956 is 421668.
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.
8109 x 7956 = 64515204
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.
8109 : 1, 3, 9, 17, 51, 53, 153, 159, 477, 901, 2703, 8109
7956 : 1, 2, 3, 4, 6, 9, 12, 13, 17, 18, 26, 34, 36, 39, 51, 52, 68, 78, 102, 117, 153, 156, 204, 221, 234, 306, 442, 468, 612, 663, 884, 1326, 1989, 2652, 3978, 7956
153 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8109,7956, is 153.
Now, the common factors can be found like this.
8109:3x 3x 17x 53
7956:2x 2x 3x 3x 13x 17
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 = 64515204/(153x1)
LCM = 64515204/153
LCM = 421668
Thus, we can understand that the LCM of 8109,7956 is 421668.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 8109, 7956
1. What is the LCM of 8109, 7956?
Answer: LCM of 8109, 7956 is 421668.
2. How to calculate the LCM of 8109, 7956?
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 8109, 7956.
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}.