Least Common Multiple of 5489 and 5493
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5489 and 5493 the smallest integer that is 30151077 that is divisible by both numbers.
Least Common Multiple (LCM) of 5489 and 5493 is 30151077.
LCM(5489,5493) = 30151077
LCM of 5489 and 5493
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5489 and 5493 by Prime method
- Least Common Multiple of 5489 and 5493 with GCF Formula
LCM of 5489 and 5493 is 30151077
Least common multiple can be found by multiplying the highest exponent prime factors of 5489 and 5493. First we will calculate the prime factors of 5489 and 5493.
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
Prime Factorization of 5493
| 3 | 5493 |
| 1831 | 1831 |
| 1 |
Prime factors of 5493 are 3,1831. Prime factorization of 5493 in exponential form is:
5493 = 31×18311
Now multiplying the highest exponent prime factors to calculate the LCM of 5489 and 5493.
LCM(5489,5493) = 31×111×4991×18311
LCM(5489,5493) = 30151077
Factors of 5489
List of positive integer factors of 5489 that divides 5489 without a remainder.
1, 11, 499, 5489
Factors of 5493
List of positive integer factors of 5493 that divides 5493 without a remainder.
1, 3, 1831, 5493
Least Common Multiple of 5489 and 5493 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5489 and 5493, than apply into the LCM equation.
GCF(5489,5493) = 1
LCM(5489,5493) = ( 5489 × 5493) / 1
LCM(5489,5493) = 30151077 / 1
LCM(5489,5493) = 30151077
Properties of LCM 5489 and 5493
(i) The LCM of 5493 and 5489 is associative
LCM of 5489 and 5493 = LCM of 5493 and 5489
Related Least Common Multiples of 5489
Related Least Common Multiples of 5493
Frequently Asked Questions on LCM of 5489 and 5493
1. What is the LCM of 5489 and 5493?
Answer: LCM of 5489 and 5493 is 30151077.
2. 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.
3. What are the Factors of 5493?
Answer: Factors of 5493 are 1, 3, 1831, 5493. There are 4 integers that are factors of 5493. The greatest factor of 5493 is 5493.
4. How to Find the LCM of 5489 and 5493?
Answer:
Least Common Multiple of 5489 and 5493 = 30151077
Step 1: Find the prime factorization of 5489
5489 = 11 x 499
Step 2: Find the prime factorization of 5493
5493 = 3 x 1831
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 30151077 = 3 x 11 x 499 x 1831
Step 4: Therefore, the least common multiple of 5489 and 5493 is 30151077.