Least Common Multiple of 1075 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 1075 and 1083 the smallest integer that is 1164225 that is divisible by both numbers.
Least Common Multiple (LCM) of 1075 and 1083 is 1164225.
LCM(1075,1083) = 1164225
LCM of 1075 and 1083
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1075 and 1083 by Prime method
- Least Common Multiple of 1075 and 1083 with GCF Formula
LCM of 1075 and 1083 is 1164225
Least common multiple can be found by multiplying the highest exponent prime factors of 1075 and 1083. First we will calculate the prime factors of 1075 and 1083.
Prime Factorization of 1075
| 5 | 1075 |
| 5 | 215 |
| 43 | 43 |
| 1 |
Prime factors of 1075 are 5,43. Prime factorization of 1075 in exponential form is:
1075 = 52×431
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 1075 and 1083.
LCM(1075,1083) = 31×52×192×431
LCM(1075,1083) = 1164225
Factors of 1075
List of positive integer factors of 1075 that divides 1075 without a remainder.
1, 5, 25, 43, 215, 1075
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 1075 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 1075 and 1083, than apply into the LCM equation.
GCF(1075,1083) = 1
LCM(1075,1083) = ( 1075 × 1083) / 1
LCM(1075,1083) = 1164225 / 1
LCM(1075,1083) = 1164225
Properties of LCM 1075 and 1083
(i) The LCM of 1083 and 1075 is associative
LCM of 1075 and 1083 = LCM of 1083 and 1075
Related Least Common Multiples of 1075
Related Least Common Multiples of 1083
Frequently Asked Questions on LCM of 1075 and 1083
1. What is the LCM of 1075 and 1083?
Answer: LCM of 1075 and 1083 is 1164225.
2. What are the Factors of 1075?
Answer: Factors of 1075 are 1, 5, 25, 43, 215, 1075. There are 6 integers that are factors of 1075. The greatest factor of 1075 is 1075.
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 1075 and 1083?
Answer:
Least Common Multiple of 1075 and 1083 = 1164225
Step 1: Find the prime factorization of 1075
1075 = 5 x 5 x 43
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 = 1164225 = 3 x 5 x 5 x 19 x 19 x 43
Step 4: Therefore, the least common multiple of 1075 and 1083 is 1164225.