Least Common Multiple of 1083 and 1089
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1083 and 1089 the smallest integer that is 393129 that is divisible by both numbers.
Least Common Multiple (LCM) of 1083 and 1089 is 393129.
LCM(1083,1089) = 393129
LCM of 1083 and 1089
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1083 and 1089 by Prime method
- Least Common Multiple of 1083 and 1089 with GCF Formula
LCM of 1083 and 1089 is 393129
Least common multiple can be found by multiplying the highest exponent prime factors of 1083 and 1089. First we will calculate the prime factors of 1083 and 1089.
Prime Factorization of 1083
| 3 | 1083 |
| 19 | 361 |
| 19 | 19 |
| 1 |
Prime factors of 1083 are 3,19. Prime factorization of 1083 in exponential form is:
1083 = 31×192
Prime Factorization of 1089
| 3 | 1089 |
| 3 | 363 |
| 11 | 121 |
| 11 | 11 |
| 1 |
Prime factors of 1089 are 3,11. Prime factorization of 1089 in exponential form is:
1089 = 32×112
Now multiplying the highest exponent prime factors to calculate the LCM of 1083 and 1089.
LCM(1083,1089) = 32×112×192
LCM(1083,1089) = 393129
Factors of 1083
List of positive integer factors of 1083 that divides 1083 without a remainder.
1, 3, 19, 57, 361, 1083
Factors of 1089
List of positive integer factors of 1089 that divides 1089 without a remainder.
1, 3, 9, 11, 33, 99, 121, 363, 1089
Least Common Multiple of 1083 and 1089 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1083 and 1089, than apply into the LCM equation.
GCF(1083,1089) = 3
LCM(1083,1089) = ( 1083 × 1089) / 3
LCM(1083,1089) = 1179387 / 3
LCM(1083,1089) = 393129
Properties of LCM 1083 and 1089
(i) The LCM of 1089 and 1083 is associative
LCM of 1083 and 1089 = LCM of 1089 and 1083
Related Least Common Multiples of 1083
Related Least Common Multiples of 1089
Frequently Asked Questions on LCM of 1083 and 1089
1. What is the LCM of 1083 and 1089?
Answer: LCM of 1083 and 1089 is 393129.
2. What are the Factors of 1083?
Answer: Factors of 1083 are 1, 3, 19, 57, 361, 1083. There are 6 integers that are factors of 1083. The greatest factor of 1083 is 1083.
3. What are the Factors of 1089?
Answer: Factors of 1089 are 1, 3, 9, 11, 33, 99, 121, 363, 1089. There are 9 integers that are factors of 1089. The greatest factor of 1089 is 1089.
4. How to Find the LCM of 1083 and 1089?
Answer:
Least Common Multiple of 1083 and 1089 = 393129
Step 1: Find the prime factorization of 1083
1083 = 3 x 19 x 19
Step 2: Find the prime factorization of 1089
1089 = 3 x 3 x 11 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 393129 = 3 x 3 x 11 x 11 x 19 x 19
Step 4: Therefore, the least common multiple of 1083 and 1089 is 393129.