Least Common Multiple of 1079 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 1079 and 1083 the smallest integer that is 1168557 that is divisible by both numbers.
Least Common Multiple (LCM) of 1079 and 1083 is 1168557.
LCM(1079,1083) = 1168557
LCM of 1079 and 1083
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1079 and 1083 by Prime method
- Least Common Multiple of 1079 and 1083 with GCF Formula
LCM of 1079 and 1083 is 1168557
Least common multiple can be found by multiplying the highest exponent prime factors of 1079 and 1083. First we will calculate the prime factors of 1079 and 1083.
Prime Factorization of 1079
| 13 | 1079 |
| 83 | 83 |
| 1 |
Prime factors of 1079 are 13,83. Prime factorization of 1079 in exponential form is:
1079 = 131×831
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 1079 and 1083.
LCM(1079,1083) = 31×131×192×831
LCM(1079,1083) = 1168557
Factors of 1079
List of positive integer factors of 1079 that divides 1079 without a remainder.
1, 13, 83, 1079
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 1079 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 1079 and 1083, than apply into the LCM equation.
GCF(1079,1083) = 1
LCM(1079,1083) = ( 1079 × 1083) / 1
LCM(1079,1083) = 1168557 / 1
LCM(1079,1083) = 1168557
Properties of LCM 1079 and 1083
(i) The LCM of 1083 and 1079 is associative
LCM of 1079 and 1083 = LCM of 1083 and 1079
Related Least Common Multiples of 1079
Related Least Common Multiples of 1083
Frequently Asked Questions on LCM of 1079 and 1083
1. What is the LCM of 1079 and 1083?
Answer: LCM of 1079 and 1083 is 1168557.
2. What are the Factors of 1079?
Answer: Factors of 1079 are 1, 13, 83, 1079. There are 4 integers that are factors of 1079. The greatest factor of 1079 is 1079.
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 1079 and 1083?
Answer:
Least Common Multiple of 1079 and 1083 = 1168557
Step 1: Find the prime factorization of 1079
1079 = 13 x 83
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 = 1168557 = 3 x 13 x 19 x 19 x 83
Step 4: Therefore, the least common multiple of 1079 and 1083 is 1168557.
