Least Common Multiple of 1089 and 1091
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1089 and 1091 the smallest integer that is 1188099 that is divisible by both numbers.
Least Common Multiple (LCM) of 1089 and 1091 is 1188099.
LCM(1089,1091) = 1188099
LCM of 1089 and 1091
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1089 and 1091 by Prime method
- Least Common Multiple of 1089 and 1091 with GCF Formula
LCM of 1089 and 1091 is 1188099
Least common multiple can be found by multiplying the highest exponent prime factors of 1089 and 1091. First we will calculate the prime factors of 1089 and 1091.
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
Prime Factorization of 1091
| 1091 | 1091 |
| 1 |
Prime factors of 1091 are 1091. Prime factorization of 1091 in exponential form is:
1091 = 10911
Now multiplying the highest exponent prime factors to calculate the LCM of 1089 and 1091.
LCM(1089,1091) = 32×112×10911
LCM(1089,1091) = 1188099
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
Factors of 1091
List of positive integer factors of 1091 that divides 1091 without a remainder.
1, 1091
Least Common Multiple of 1089 and 1091 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1089 and 1091, than apply into the LCM equation.
GCF(1089,1091) = 1
LCM(1089,1091) = ( 1089 × 1091) / 1
LCM(1089,1091) = 1188099 / 1
LCM(1089,1091) = 1188099
Properties of LCM 1089 and 1091
(i) The LCM of 1091 and 1089 is associative
LCM of 1089 and 1091 = LCM of 1091 and 1089
Related Least Common Multiples of 1089
Related Least Common Multiples of 1091
Frequently Asked Questions on LCM of 1089 and 1091
1. What is the LCM of 1089 and 1091?
Answer: LCM of 1089 and 1091 is 1188099.
2. 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.
3. What are the Factors of 1091?
Answer: Factors of 1091 are 1, 1091. There are 2 integers that are factors of 1091. The greatest factor of 1091 is 1091.
4. How to Find the LCM of 1089 and 1091?
Answer:
Least Common Multiple of 1089 and 1091 = 1188099
Step 1: Find the prime factorization of 1089
1089 = 3 x 3 x 11 x 11
Step 2: Find the prime factorization of 1091
1091 = 1091
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1188099 = 3 x 3 x 11 x 11 x 1091
Step 4: Therefore, the least common multiple of 1089 and 1091 is 1188099.
