Least Common Multiple of 1089 and 1094
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 1094 the smallest integer that is 1191366 that is divisible by both numbers.
Least Common Multiple (LCM) of 1089 and 1094 is 1191366.
LCM(1089,1094) = 1191366
LCM of 1089 and 1094
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1089 and 1094 by Prime method
- Least Common Multiple of 1089 and 1094 with GCF Formula
LCM of 1089 and 1094 is 1191366
Least common multiple can be found by multiplying the highest exponent prime factors of 1089 and 1094. First we will calculate the prime factors of 1089 and 1094.
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 1094
| 2 | 1094 |
| 547 | 547 |
| 1 |
Prime factors of 1094 are 2,547. Prime factorization of 1094 in exponential form is:
1094 = 21×5471
Now multiplying the highest exponent prime factors to calculate the LCM of 1089 and 1094.
LCM(1089,1094) = 21×32×112×5471
LCM(1089,1094) = 1191366
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 1094
List of positive integer factors of 1094 that divides 1094 without a remainder.
1, 2, 547, 1094
Least Common Multiple of 1089 and 1094 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 1094, than apply into the LCM equation.
GCF(1089,1094) = 1
LCM(1089,1094) = ( 1089 × 1094) / 1
LCM(1089,1094) = 1191366 / 1
LCM(1089,1094) = 1191366
Properties of LCM 1089 and 1094
(i) The LCM of 1094 and 1089 is associative
LCM of 1089 and 1094 = LCM of 1094 and 1089
Related Least Common Multiples of 1089
Related Least Common Multiples of 1094
Frequently Asked Questions on LCM of 1089 and 1094
1. What is the LCM of 1089 and 1094?
Answer: LCM of 1089 and 1094 is 1191366.
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 1094?
Answer: Factors of 1094 are 1, 2, 547, 1094. There are 4 integers that are factors of 1094. The greatest factor of 1094 is 1094.
4. How to Find the LCM of 1089 and 1094?
Answer:
Least Common Multiple of 1089 and 1094 = 1191366
Step 1: Find the prime factorization of 1089
1089 = 3 x 3 x 11 x 11
Step 2: Find the prime factorization of 1094
1094 = 2 x 547
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1191366 = 2 x 3 x 3 x 11 x 11 x 547
Step 4: Therefore, the least common multiple of 1089 and 1094 is 1191366.
