Least Common Multiple of 1089 and 1090
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 1090 the smallest integer that is 1187010 that is divisible by both numbers.
Least Common Multiple (LCM) of 1089 and 1090 is 1187010.
LCM(1089,1090) = 1187010
LCM of 1089 and 1090
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1089 and 1090 by Prime method
- Least Common Multiple of 1089 and 1090 with GCF Formula
LCM of 1089 and 1090 is 1187010
Least common multiple can be found by multiplying the highest exponent prime factors of 1089 and 1090. First we will calculate the prime factors of 1089 and 1090.
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 1090
| 2 | 1090 |
| 5 | 545 |
| 109 | 109 |
| 1 |
Prime factors of 1090 are 2, 5,109. Prime factorization of 1090 in exponential form is:
1090 = 21×51×1091
Now multiplying the highest exponent prime factors to calculate the LCM of 1089 and 1090.
LCM(1089,1090) = 21×32×51×112×1091
LCM(1089,1090) = 1187010
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 1090
List of positive integer factors of 1090 that divides 1090 without a remainder.
1, 2, 5, 10, 109, 218, 545, 1090
Least Common Multiple of 1089 and 1090 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 1090, than apply into the LCM equation.
GCF(1089,1090) = 1
LCM(1089,1090) = ( 1089 × 1090) / 1
LCM(1089,1090) = 1187010 / 1
LCM(1089,1090) = 1187010
Properties of LCM 1089 and 1090
(i) The LCM of 1090 and 1089 is associative
LCM of 1089 and 1090 = LCM of 1090 and 1089
Related Least Common Multiples of 1089
Related Least Common Multiples of 1090
Frequently Asked Questions on LCM of 1089 and 1090
1. What is the LCM of 1089 and 1090?
Answer: LCM of 1089 and 1090 is 1187010.
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 1090?
Answer: Factors of 1090 are 1, 2, 5, 10, 109, 218, 545, 1090. There are 8 integers that are factors of 1090. The greatest factor of 1090 is 1090.
4. How to Find the LCM of 1089 and 1090?
Answer:
Least Common Multiple of 1089 and 1090 = 1187010
Step 1: Find the prime factorization of 1089
1089 = 3 x 3 x 11 x 11
Step 2: Find the prime factorization of 1090
1090 = 2 x 5 x 109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1187010 = 2 x 3 x 3 x 5 x 11 x 11 x 109
Step 4: Therefore, the least common multiple of 1089 and 1090 is 1187010.
