LCM of 8136, 8172
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 8136, 8172 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 8136, 8172. So, keep reading to learn more.
Given numbers are 8136,8172
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 8136,8172 is 1846872.
Find LCM of 8136,8172 with Prime Factorization
| 2 | 8136, 8172 |
| 2 | 4068, 4086 |
| 3 | 2034, 2043 |
| 3 | 678, 681 |
| 226, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 226 x 227 = 1846872
Therefore, the lowest common multiple of 8136,8172 is 1846872.
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.
8136 x 8172 = 66487392
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.
8136 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 113, 226, 339, 452, 678, 904, 1017, 1356, 2034, 2712, 4068, 8136
8172 : 1, 2, 3, 4, 6, 9, 12, 18, 36, 227, 454, 681, 908, 1362, 2043, 2724, 4086, 8172
36 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8136,8172, is 36.
Now, the common factors can be found like this.
8136:2x 2x 2x 3x 3x 113
8172:2x 2x 3x 3x 227
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 = 66487392/(36x1)
LCM = 66487392/36
LCM = 1846872
Thus, we can understand that the LCM of 8136,8172 is 1846872.
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FAQs on LCM of 8136, 8172
1. What is the LCM of 8136, 8172?
Answer: LCM of 8136, 8172 is 1846872.
2. How to calculate the LCM of 8136, 8172?
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 8136, 8172.
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}.