Least Common Multiple of 1157 and 1161
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1157 and 1161 the smallest integer that is 1343277 that is divisible by both numbers.
Least Common Multiple (LCM) of 1157 and 1161 is 1343277.
LCM(1157,1161) = 1343277
LCM of 1157 and 1161
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1157 and 1161 by Prime method
- Least Common Multiple of 1157 and 1161 with GCF Formula
LCM of 1157 and 1161 is 1343277
Least common multiple can be found by multiplying the highest exponent prime factors of 1157 and 1161. First we will calculate the prime factors of 1157 and 1161.
Prime Factorization of 1157
| 13 | 1157 |
| 89 | 89 |
| 1 |
Prime factors of 1157 are 13,89. Prime factorization of 1157 in exponential form is:
1157 = 131×891
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
Now multiplying the highest exponent prime factors to calculate the LCM of 1157 and 1161.
LCM(1157,1161) = 33×131×431×891
LCM(1157,1161) = 1343277
Factors of 1157
List of positive integer factors of 1157 that divides 1157 without a remainder.
1, 13, 89, 1157
Factors of 1161
List of positive integer factors of 1161 that divides 1161 without a remainder.
1, 3, 9, 27, 43, 129, 387, 1161
Least Common Multiple of 1157 and 1161 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1157 and 1161, than apply into the LCM equation.
GCF(1157,1161) = 1
LCM(1157,1161) = ( 1157 × 1161) / 1
LCM(1157,1161) = 1343277 / 1
LCM(1157,1161) = 1343277
Properties of LCM 1157 and 1161
(i) The LCM of 1161 and 1157 is associative
LCM of 1157 and 1161 = LCM of 1161 and 1157
Related Least Common Multiples of 1157
Related Least Common Multiples of 1161
Frequently Asked Questions on LCM of 1157 and 1161
1. What is the LCM of 1157 and 1161?
Answer: LCM of 1157 and 1161 is 1343277.
2. What are the Factors of 1157?
Answer: Factors of 1157 are 1, 13, 89, 1157. There are 4 integers that are factors of 1157. The greatest factor of 1157 is 1157.
3. 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.
4. How to Find the LCM of 1157 and 1161?
Answer:
Least Common Multiple of 1157 and 1161 = 1343277
Step 1: Find the prime factorization of 1157
1157 = 13 x 89
Step 2: Find the prime factorization of 1161
1161 = 3 x 3 x 3 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1343277 = 3 x 3 x 3 x 13 x 43 x 89
Step 4: Therefore, the least common multiple of 1157 and 1161 is 1343277.