Least Common Multiple of 1161 and 1165
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1161 and 1165 the smallest integer that is 1352565 that is divisible by both numbers.
Least Common Multiple (LCM) of 1161 and 1165 is 1352565.
LCM(1161,1165) = 1352565
LCM of 1161 and 1165
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1161 and 1165 by Prime method
- Least Common Multiple of 1161 and 1165 with GCF Formula
LCM of 1161 and 1165 is 1352565
Least common multiple can be found by multiplying the highest exponent prime factors of 1161 and 1165. First we will calculate the prime factors of 1161 and 1165.
Prime Factorization of 1161
| 3 | 1161 |
| 3 | 387 |
| 3 | 129 |
| 43 | 43 |
| 1 |
Prime factors of 1161 are 3,43. Prime factorization of 1161 in exponential form is:
1161 = 33×431
Prime Factorization of 1165
| 5 | 1165 |
| 233 | 233 |
| 1 |
Prime factors of 1165 are 5,233. Prime factorization of 1165 in exponential form is:
1165 = 51×2331
Now multiplying the highest exponent prime factors to calculate the LCM of 1161 and 1165.
LCM(1161,1165) = 33×51×431×2331
LCM(1161,1165) = 1352565
Factors of 1161
List of positive integer factors of 1161 that divides 1161 without a remainder.
1, 3, 9, 27, 43, 129, 387, 1161
Factors of 1165
List of positive integer factors of 1165 that divides 1165 without a remainder.
1, 5, 233, 1165
Least Common Multiple of 1161 and 1165 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1161 and 1165, than apply into the LCM equation.
GCF(1161,1165) = 1
LCM(1161,1165) = ( 1161 × 1165) / 1
LCM(1161,1165) = 1352565 / 1
LCM(1161,1165) = 1352565
Properties of LCM 1161 and 1165
(i) The LCM of 1165 and 1161 is associative
LCM of 1161 and 1165 = LCM of 1165 and 1161
Related Least Common Multiples of 1161
Related Least Common Multiples of 1165
Frequently Asked Questions on LCM of 1161 and 1165
1. What is the LCM of 1161 and 1165?
Answer: LCM of 1161 and 1165 is 1352565.
2. What are the Factors of 1161?
Answer: Factors of 1161 are 1, 3, 9, 27, 43, 129, 387, 1161. There are 8 integers that are factors of 1161. The greatest factor of 1161 is 1161.
3. What are the Factors of 1165?
Answer: Factors of 1165 are 1, 5, 233, 1165. There are 4 integers that are factors of 1165. The greatest factor of 1165 is 1165.
4. How to Find the LCM of 1161 and 1165?
Answer:
Least Common Multiple of 1161 and 1165 = 1352565
Step 1: Find the prime factorization of 1161
1161 = 3 x 3 x 3 x 43
Step 2: Find the prime factorization of 1165
1165 = 5 x 233
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1352565 = 3 x 3 x 3 x 5 x 43 x 233
Step 4: Therefore, the least common multiple of 1161 and 1165 is 1352565.