Least Common Multiple of 5489 and 5497
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 5497 the smallest integer that is 30173033 that is divisible by both numbers.
Least Common Multiple (LCM) of 5489 and 5497 is 30173033.
LCM(5489,5497) = 30173033
LCM of 5489 and 5497
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5489 and 5497 by Prime method
- Least Common Multiple of 5489 and 5497 with GCF Formula
LCM of 5489 and 5497 is 30173033
Least common multiple can be found by multiplying the highest exponent prime factors of 5489 and 5497. First we will calculate the prime factors of 5489 and 5497.
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 5497
| 23 | 5497 |
| 239 | 239 |
| 1 |
Prime factors of 5497 are 23,239. Prime factorization of 5497 in exponential form is:
5497 = 231×2391
Now multiplying the highest exponent prime factors to calculate the LCM of 5489 and 5497.
LCM(5489,5497) = 111×231×2391×4991
LCM(5489,5497) = 30173033
Factors of 5489
List of positive integer factors of 5489 that divides 5489 without a remainder.
1, 11, 499, 5489
Factors of 5497
List of positive integer factors of 5497 that divides 5497 without a remainder.
1, 23, 239, 5497
Least Common Multiple of 5489 and 5497 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 5497, than apply into the LCM equation.
GCF(5489,5497) = 1
LCM(5489,5497) = ( 5489 × 5497) / 1
LCM(5489,5497) = 30173033 / 1
LCM(5489,5497) = 30173033
Properties of LCM 5489 and 5497
(i) The LCM of 5497 and 5489 is associative
LCM of 5489 and 5497 = LCM of 5497 and 5489
Related Least Common Multiples of 5489
Related Least Common Multiples of 5497
Frequently Asked Questions on LCM of 5489 and 5497
1. What is the LCM of 5489 and 5497?
Answer: LCM of 5489 and 5497 is 30173033.
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 5497?
Answer: Factors of 5497 are 1, 23, 239, 5497. There are 4 integers that are factors of 5497. The greatest factor of 5497 is 5497.
4. How to Find the LCM of 5489 and 5497?
Answer:
Least Common Multiple of 5489 and 5497 = 30173033
Step 1: Find the prime factorization of 5489
5489 = 11 x 499
Step 2: Find the prime factorization of 5497
5497 = 23 x 239
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 30173033 = 11 x 23 x 239 x 499
Step 4: Therefore, the least common multiple of 5489 and 5497 is 30173033.