Least Common Multiple of 10161 and 10165
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10161 and 10165 the smallest integer that is 103286565 that is divisible by both numbers.
Least Common Multiple (LCM) of 10161 and 10165 is 103286565.
LCM(10161,10165) = 103286565
LCM of 10161 and 10165
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10161 and 10165 by Prime method
- Least Common Multiple of 10161 and 10165 with GCF Formula
LCM of 10161 and 10165 is 103286565
Least common multiple can be found by multiplying the highest exponent prime factors of 10161 and 10165. First we will calculate the prime factors of 10161 and 10165.
Prime Factorization of 10161
| 3 | 10161 |
| 3 | 3387 |
| 1129 | 1129 |
| 1 |
Prime factors of 10161 are 3,1129. Prime factorization of 10161 in exponential form is:
10161 = 32×11291
Prime Factorization of 10165
| 5 | 10165 |
| 19 | 2033 |
| 107 | 107 |
| 1 |
Prime factors of 10165 are 5, 19,107. Prime factorization of 10165 in exponential form is:
10165 = 51×191×1071
Now multiplying the highest exponent prime factors to calculate the LCM of 10161 and 10165.
LCM(10161,10165) = 32×51×191×1071×11291
LCM(10161,10165) = 103286565
Factors of 10161
List of positive integer factors of 10161 that divides 10161 without a remainder.
1, 3, 9, 1129, 3387, 10161
Factors of 10165
List of positive integer factors of 10165 that divides 10165 without a remainder.
1, 5, 19, 95, 107, 535, 2033, 10165
Least Common Multiple of 10161 and 10165 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10161 and 10165, than apply into the LCM equation.
GCF(10161,10165) = 1
LCM(10161,10165) = ( 10161 × 10165) / 1
LCM(10161,10165) = 103286565 / 1
LCM(10161,10165) = 103286565
Properties of LCM 10161 and 10165
(i) The LCM of 10165 and 10161 is associative
LCM of 10161 and 10165 = LCM of 10165 and 10161
Related Least Common Multiples of 10161
Related Least Common Multiples of 10165
Frequently Asked Questions on LCM of 10161 and 10165
1. What is the LCM of 10161 and 10165?
Answer: LCM of 10161 and 10165 is 103286565.
2. What are the Factors of 10161?
Answer: Factors of 10161 are 1, 3, 9, 1129, 3387, 10161. There are 6 integers that are factors of 10161. The greatest factor of 10161 is 10161.
3. What are the Factors of 10165?
Answer: Factors of 10165 are 1, 5, 19, 95, 107, 535, 2033, 10165. There are 8 integers that are factors of 10165. The greatest factor of 10165 is 10165.
4. How to Find the LCM of 10161 and 10165?
Answer:
Least Common Multiple of 10161 and 10165 = 103286565
Step 1: Find the prime factorization of 10161
10161 = 3 x 3 x 1129
Step 2: Find the prime factorization of 10165
10165 = 5 x 19 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 103286565 = 3 x 3 x 5 x 19 x 107 x 1129
Step 4: Therefore, the least common multiple of 10161 and 10165 is 103286565.