Least Common Multiple of 1131 and 1135
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1131 and 1135 the smallest integer that is 1283685 that is divisible by both numbers.
Least Common Multiple (LCM) of 1131 and 1135 is 1283685.
LCM(1131,1135) = 1283685
LCM of 1131 and 1135
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1131 and 1135 by Prime method
- Least Common Multiple of 1131 and 1135 with GCF Formula
LCM of 1131 and 1135 is 1283685
Least common multiple can be found by multiplying the highest exponent prime factors of 1131 and 1135. First we will calculate the prime factors of 1131 and 1135.
Prime Factorization of 1131
| 3 | 1131 |
| 13 | 377 |
| 29 | 29 |
| 1 |
Prime factors of 1131 are 3, 13,29. Prime factorization of 1131 in exponential form is:
1131 = 31×131×291
Prime Factorization of 1135
| 5 | 1135 |
| 227 | 227 |
| 1 |
Prime factors of 1135 are 5,227. Prime factorization of 1135 in exponential form is:
1135 = 51×2271
Now multiplying the highest exponent prime factors to calculate the LCM of 1131 and 1135.
LCM(1131,1135) = 31×51×131×291×2271
LCM(1131,1135) = 1283685
Factors of 1131
List of positive integer factors of 1131 that divides 1131 without a remainder.
1, 3, 13, 29, 39, 87, 377, 1131
Factors of 1135
List of positive integer factors of 1135 that divides 1135 without a remainder.
1, 5, 227, 1135
Least Common Multiple of 1131 and 1135 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1131 and 1135, than apply into the LCM equation.
GCF(1131,1135) = 1
LCM(1131,1135) = ( 1131 × 1135) / 1
LCM(1131,1135) = 1283685 / 1
LCM(1131,1135) = 1283685
Properties of LCM 1131 and 1135
(i) The LCM of 1135 and 1131 is associative
LCM of 1131 and 1135 = LCM of 1135 and 1131
Related Least Common Multiples of 1131
Related Least Common Multiples of 1135
Frequently Asked Questions on LCM of 1131 and 1135
1. What is the LCM of 1131 and 1135?
Answer: LCM of 1131 and 1135 is 1283685.
2. What are the Factors of 1131?
Answer: Factors of 1131 are 1, 3, 13, 29, 39, 87, 377, 1131. There are 8 integers that are factors of 1131. The greatest factor of 1131 is 1131.
3. What are the Factors of 1135?
Answer: Factors of 1135 are 1, 5, 227, 1135. There are 4 integers that are factors of 1135. The greatest factor of 1135 is 1135.
4. How to Find the LCM of 1131 and 1135?
Answer:
Least Common Multiple of 1131 and 1135 = 1283685
Step 1: Find the prime factorization of 1131
1131 = 3 x 13 x 29
Step 2: Find the prime factorization of 1135
1135 = 5 x 227
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1283685 = 3 x 5 x 13 x 29 x 227
Step 4: Therefore, the least common multiple of 1131 and 1135 is 1283685.