Least Common Multiple of 1085 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 1085 and 1089 the smallest integer that is 1181565 that is divisible by both numbers.
Least Common Multiple (LCM) of 1085 and 1089 is 1181565.
LCM(1085,1089) = 1181565
LCM of 1085 and 1089
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1085 and 1089 by Prime method
- Least Common Multiple of 1085 and 1089 with GCF Formula
LCM of 1085 and 1089 is 1181565
Least common multiple can be found by multiplying the highest exponent prime factors of 1085 and 1089. First we will calculate the prime factors of 1085 and 1089.
Prime Factorization of 1085
| 5 | 1085 |
| 7 | 217 |
| 31 | 31 |
| 1 |
Prime factors of 1085 are 5, 7,31. Prime factorization of 1085 in exponential form is:
1085 = 51×71×311
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 1085 and 1089.
LCM(1085,1089) = 32×51×71×112×311
LCM(1085,1089) = 1181565
Factors of 1085
List of positive integer factors of 1085 that divides 1085 without a remainder.
1, 5, 7, 31, 35, 155, 217, 1085
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 1085 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 1085 and 1089, than apply into the LCM equation.
GCF(1085,1089) = 1
LCM(1085,1089) = ( 1085 × 1089) / 1
LCM(1085,1089) = 1181565 / 1
LCM(1085,1089) = 1181565
Properties of LCM 1085 and 1089
(i) The LCM of 1089 and 1085 is associative
LCM of 1085 and 1089 = LCM of 1089 and 1085
Related Least Common Multiples of 1085
Related Least Common Multiples of 1089
Frequently Asked Questions on LCM of 1085 and 1089
1. What is the LCM of 1085 and 1089?
Answer: LCM of 1085 and 1089 is 1181565.
2. What are the Factors of 1085?
Answer: Factors of 1085 are 1, 5, 7, 31, 35, 155, 217, 1085. There are 8 integers that are factors of 1085. The greatest factor of 1085 is 1085.
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 1085 and 1089?
Answer:
Least Common Multiple of 1085 and 1089 = 1181565
Step 1: Find the prime factorization of 1085
1085 = 5 x 7 x 31
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 = 1181565 = 3 x 3 x 5 x 7 x 11 x 11 x 31
Step 4: Therefore, the least common multiple of 1085 and 1089 is 1181565.