Least Common Multiple of 1077 and 1083
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1077 and 1083 the smallest integer that is 388797 that is divisible by both numbers.
Least Common Multiple (LCM) of 1077 and 1083 is 388797.
LCM(1077,1083) = 388797
LCM of 1077 and 1083
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1077 and 1083 by Prime method
- Least Common Multiple of 1077 and 1083 with GCF Formula
LCM of 1077 and 1083 is 388797
Least common multiple can be found by multiplying the highest exponent prime factors of 1077 and 1083. First we will calculate the prime factors of 1077 and 1083.
Prime Factorization of 1077
| 3 | 1077 |
| 359 | 359 |
| 1 |
Prime factors of 1077 are 3,359. Prime factorization of 1077 in exponential form is:
1077 = 31×3591
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
Now multiplying the highest exponent prime factors to calculate the LCM of 1077 and 1083.
LCM(1077,1083) = 31×192×3591
LCM(1077,1083) = 388797
Factors of 1077
List of positive integer factors of 1077 that divides 1077 without a remainder.
1, 3, 359, 1077
Factors of 1083
List of positive integer factors of 1083 that divides 1083 without a remainder.
1, 3, 19, 57, 361, 1083
Least Common Multiple of 1077 and 1083 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1077 and 1083, than apply into the LCM equation.
GCF(1077,1083) = 3
LCM(1077,1083) = ( 1077 × 1083) / 3
LCM(1077,1083) = 1166391 / 3
LCM(1077,1083) = 388797
Properties of LCM 1077 and 1083
(i) The LCM of 1083 and 1077 is associative
LCM of 1077 and 1083 = LCM of 1083 and 1077
Related Least Common Multiples of 1077
Related Least Common Multiples of 1083
Frequently Asked Questions on LCM of 1077 and 1083
1. What is the LCM of 1077 and 1083?
Answer: LCM of 1077 and 1083 is 388797.
2. What are the Factors of 1077?
Answer: Factors of 1077 are 1, 3, 359, 1077. There are 4 integers that are factors of 1077. The greatest factor of 1077 is 1077.
3. 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.
4. How to Find the LCM of 1077 and 1083?
Answer:
Least Common Multiple of 1077 and 1083 = 388797
Step 1: Find the prime factorization of 1077
1077 = 3 x 359
Step 2: Find the prime factorization of 1083
1083 = 3 x 19 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 388797 = 3 x 19 x 19 x 359
Step 4: Therefore, the least common multiple of 1077 and 1083 is 388797.