Least Common Multiple of 1161 and 1166
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 1166 the smallest integer that is 1353726 that is divisible by both numbers.
Least Common Multiple (LCM) of 1161 and 1166 is 1353726.
LCM(1161,1166) = 1353726
LCM of 1161 and 1166
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1161 and 1166 by Prime method
- Least Common Multiple of 1161 and 1166 with GCF Formula
LCM of 1161 and 1166 is 1353726
Least common multiple can be found by multiplying the highest exponent prime factors of 1161 and 1166. First we will calculate the prime factors of 1161 and 1166.
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 1166
| 2 | 1166 |
| 11 | 583 |
| 53 | 53 |
| 1 |
Prime factors of 1166 are 2, 11,53. Prime factorization of 1166 in exponential form is:
1166 = 21×111×531
Now multiplying the highest exponent prime factors to calculate the LCM of 1161 and 1166.
LCM(1161,1166) = 21×33×111×431×531
LCM(1161,1166) = 1353726
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 1166
List of positive integer factors of 1166 that divides 1166 without a remainder.
1, 2, 11, 22, 53, 106, 583, 1166
Least Common Multiple of 1161 and 1166 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 1166, than apply into the LCM equation.
GCF(1161,1166) = 1
LCM(1161,1166) = ( 1161 × 1166) / 1
LCM(1161,1166) = 1353726 / 1
LCM(1161,1166) = 1353726
Properties of LCM 1161 and 1166
(i) The LCM of 1166 and 1161 is associative
LCM of 1161 and 1166 = LCM of 1166 and 1161
Related Least Common Multiples of 1161
Related Least Common Multiples of 1166
Frequently Asked Questions on LCM of 1161 and 1166
1. What is the LCM of 1161 and 1166?
Answer: LCM of 1161 and 1166 is 1353726.
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 1166?
Answer: Factors of 1166 are 1, 2, 11, 22, 53, 106, 583, 1166. There are 8 integers that are factors of 1166. The greatest factor of 1166 is 1166.
4. How to Find the LCM of 1161 and 1166?
Answer:
Least Common Multiple of 1161 and 1166 = 1353726
Step 1: Find the prime factorization of 1161
1161 = 3 x 3 x 3 x 43
Step 2: Find the prime factorization of 1166
1166 = 2 x 11 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1353726 = 2 x 3 x 3 x 3 x 11 x 43 x 53
Step 4: Therefore, the least common multiple of 1161 and 1166 is 1353726.