Least Common Multiple of 8159 and 8165
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8159 and 8165 the smallest integer that is 66618235 that is divisible by both numbers.
Least Common Multiple (LCM) of 8159 and 8165 is 66618235.
LCM(8159,8165) = 66618235
LCM of 8159 and 8165
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8159 and 8165 by Prime method
- Least Common Multiple of 8159 and 8165 with GCF Formula
LCM of 8159 and 8165 is 66618235
Least common multiple can be found by multiplying the highest exponent prime factors of 8159 and 8165. First we will calculate the prime factors of 8159 and 8165.
Prime Factorization of 8159
| 41 | 8159 |
| 199 | 199 |
| 1 |
Prime factors of 8159 are 41,199. Prime factorization of 8159 in exponential form is:
8159 = 411×1991
Prime Factorization of 8165
| 5 | 8165 |
| 23 | 1633 |
| 71 | 71 |
| 1 |
Prime factors of 8165 are 5, 23,71. Prime factorization of 8165 in exponential form is:
8165 = 51×231×711
Now multiplying the highest exponent prime factors to calculate the LCM of 8159 and 8165.
LCM(8159,8165) = 51×231×411×711×1991
LCM(8159,8165) = 66618235
Factors of 8159
List of positive integer factors of 8159 that divides 8159 without a remainder.
1, 41, 199, 8159
Factors of 8165
List of positive integer factors of 8165 that divides 8165 without a remainder.
1, 5, 23, 71, 115, 355, 1633, 8165
Least Common Multiple of 8159 and 8165 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8159 and 8165, than apply into the LCM equation.
GCF(8159,8165) = 1
LCM(8159,8165) = ( 8159 × 8165) / 1
LCM(8159,8165) = 66618235 / 1
LCM(8159,8165) = 66618235
Properties of LCM 8159 and 8165
(i) The LCM of 8165 and 8159 is associative
LCM of 8159 and 8165 = LCM of 8165 and 8159
Related Least Common Multiples of 8159
Related Least Common Multiples of 8165
Frequently Asked Questions on LCM of 8159 and 8165
1. What is the LCM of 8159 and 8165?
Answer: LCM of 8159 and 8165 is 66618235.
2. What are the Factors of 8159?
Answer: Factors of 8159 are 1, 41, 199, 8159. There are 4 integers that are factors of 8159. The greatest factor of 8159 is 8159.
3. What are the Factors of 8165?
Answer: Factors of 8165 are 1, 5, 23, 71, 115, 355, 1633, 8165. There are 8 integers that are factors of 8165. The greatest factor of 8165 is 8165.
4. How to Find the LCM of 8159 and 8165?
Answer:
Least Common Multiple of 8159 and 8165 = 66618235
Step 1: Find the prime factorization of 8159
8159 = 41 x 199
Step 2: Find the prime factorization of 8165
8165 = 5 x 23 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 66618235 = 5 x 23 x 41 x 71 x 199
Step 4: Therefore, the least common multiple of 8159 and 8165 is 66618235.