Least Common Multiple of 5481 and 5489
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5481 and 5489 the smallest integer that is 30085209 that is divisible by both numbers.
Least Common Multiple (LCM) of 5481 and 5489 is 30085209.
LCM(5481,5489) = 30085209
LCM of 5481 and 5489
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5481 and 5489 by Prime method
- Least Common Multiple of 5481 and 5489 with GCF Formula
LCM of 5481 and 5489 is 30085209
Least common multiple can be found by multiplying the highest exponent prime factors of 5481 and 5489. First we will calculate the prime factors of 5481 and 5489.
Prime Factorization of 5481
| 3 | 5481 |
| 3 | 1827 |
| 3 | 609 |
| 7 | 203 |
| 29 | 29 |
| 1 |
Prime factors of 5481 are 3, 7,29. Prime factorization of 5481 in exponential form is:
5481 = 33×71×291
Prime Factorization of 5489
| 11 | 5489 |
| 499 | 499 |
| 1 |
Prime factors of 5489 are 11,499. Prime factorization of 5489 in exponential form is:
5489 = 111×4991
Now multiplying the highest exponent prime factors to calculate the LCM of 5481 and 5489.
LCM(5481,5489) = 33×71×111×291×4991
LCM(5481,5489) = 30085209
Factors of 5481
List of positive integer factors of 5481 that divides 5481 without a remainder.
1, 3, 7, 9, 21, 27, 29, 63, 87, 189, 203, 261, 609, 783, 1827, 5481
Factors of 5489
List of positive integer factors of 5489 that divides 5489 without a remainder.
1, 11, 499, 5489
Least Common Multiple of 5481 and 5489 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5481 and 5489, than apply into the LCM equation.
GCF(5481,5489) = 1
LCM(5481,5489) = ( 5481 × 5489) / 1
LCM(5481,5489) = 30085209 / 1
LCM(5481,5489) = 30085209
Properties of LCM 5481 and 5489
(i) The LCM of 5489 and 5481 is associative
LCM of 5481 and 5489 = LCM of 5489 and 5481
Related Least Common Multiples of 5481
Related Least Common Multiples of 5489
Frequently Asked Questions on LCM of 5481 and 5489
1. What is the LCM of 5481 and 5489?
Answer: LCM of 5481 and 5489 is 30085209.
2. What are the Factors of 5481?
Answer: Factors of 5481 are 1, 3, 7, 9, 21, 27, 29, 63, 87, 189, 203, 261, 609, 783, 1827, 5481. There are 16 integers that are factors of 5481. The greatest factor of 5481 is 5481.
3. What are the Factors of 5489?
Answer: Factors of 5489 are 1, 11, 499, 5489. There are 4 integers that are factors of 5489. The greatest factor of 5489 is 5489.
4. How to Find the LCM of 5481 and 5489?
Answer:
Least Common Multiple of 5481 and 5489 = 30085209
Step 1: Find the prime factorization of 5481
5481 = 3 x 3 x 3 x 7 x 29
Step 2: Find the prime factorization of 5489
5489 = 11 x 499
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 30085209 = 3 x 3 x 3 x 7 x 11 x 29 x 499
Step 4: Therefore, the least common multiple of 5481 and 5489 is 30085209.