Least Common Multiple of 1131 and 1139
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 1139 the smallest integer that is 1288209 that is divisible by both numbers.
Least Common Multiple (LCM) of 1131 and 1139 is 1288209.
LCM(1131,1139) = 1288209
LCM of 1131 and 1139
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1131 and 1139 by Prime method
- Least Common Multiple of 1131 and 1139 with GCF Formula
LCM of 1131 and 1139 is 1288209
Least common multiple can be found by multiplying the highest exponent prime factors of 1131 and 1139. First we will calculate the prime factors of 1131 and 1139.
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 1139
| 17 | 1139 |
| 67 | 67 |
| 1 |
Prime factors of 1139 are 17,67. Prime factorization of 1139 in exponential form is:
1139 = 171×671
Now multiplying the highest exponent prime factors to calculate the LCM of 1131 and 1139.
LCM(1131,1139) = 31×131×171×291×671
LCM(1131,1139) = 1288209
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 1139
List of positive integer factors of 1139 that divides 1139 without a remainder.
1, 17, 67, 1139
Least Common Multiple of 1131 and 1139 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 1139, than apply into the LCM equation.
GCF(1131,1139) = 1
LCM(1131,1139) = ( 1131 × 1139) / 1
LCM(1131,1139) = 1288209 / 1
LCM(1131,1139) = 1288209
Properties of LCM 1131 and 1139
(i) The LCM of 1139 and 1131 is associative
LCM of 1131 and 1139 = LCM of 1139 and 1131
Related Least Common Multiples of 1131
Related Least Common Multiples of 1139
Frequently Asked Questions on LCM of 1131 and 1139
1. What is the LCM of 1131 and 1139?
Answer: LCM of 1131 and 1139 is 1288209.
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 1139?
Answer: Factors of 1139 are 1, 17, 67, 1139. There are 4 integers that are factors of 1139. The greatest factor of 1139 is 1139.
4. How to Find the LCM of 1131 and 1139?
Answer:
Least Common Multiple of 1131 and 1139 = 1288209
Step 1: Find the prime factorization of 1131
1131 = 3 x 13 x 29
Step 2: Find the prime factorization of 1139
1139 = 17 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1288209 = 3 x 13 x 17 x 29 x 67
Step 4: Therefore, the least common multiple of 1131 and 1139 is 1288209.