Least Common Multiple of 5385 and 5389
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5385 and 5389 the smallest integer that is 29019765 that is divisible by both numbers.
Least Common Multiple (LCM) of 5385 and 5389 is 29019765.
LCM(5385,5389) = 29019765
LCM of 5385 and 5389
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5385 and 5389 by Prime method
- Least Common Multiple of 5385 and 5389 with GCF Formula
LCM of 5385 and 5389 is 29019765
Least common multiple can be found by multiplying the highest exponent prime factors of 5385 and 5389. First we will calculate the prime factors of 5385 and 5389.
Prime Factorization of 5385
| 3 | 5385 |
| 5 | 1795 |
| 359 | 359 |
| 1 |
Prime factors of 5385 are 3, 5,359. Prime factorization of 5385 in exponential form is:
5385 = 31×51×3591
Prime Factorization of 5389
| 17 | 5389 |
| 317 | 317 |
| 1 |
Prime factors of 5389 are 17,317. Prime factorization of 5389 in exponential form is:
5389 = 171×3171
Now multiplying the highest exponent prime factors to calculate the LCM of 5385 and 5389.
LCM(5385,5389) = 31×51×171×3171×3591
LCM(5385,5389) = 29019765
Factors of 5385
List of positive integer factors of 5385 that divides 5385 without a remainder.
1, 3, 5, 15, 359, 1077, 1795, 5385
Factors of 5389
List of positive integer factors of 5389 that divides 5389 without a remainder.
1, 17, 317, 5389
Least Common Multiple of 5385 and 5389 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5385 and 5389, than apply into the LCM equation.
GCF(5385,5389) = 1
LCM(5385,5389) = ( 5385 × 5389) / 1
LCM(5385,5389) = 29019765 / 1
LCM(5385,5389) = 29019765
Properties of LCM 5385 and 5389
(i) The LCM of 5389 and 5385 is associative
LCM of 5385 and 5389 = LCM of 5389 and 5385
Related Least Common Multiples of 5385
Related Least Common Multiples of 5389
Frequently Asked Questions on LCM of 5385 and 5389
1. What is the LCM of 5385 and 5389?
Answer: LCM of 5385 and 5389 is 29019765.
2. What are the Factors of 5385?
Answer: Factors of 5385 are 1, 3, 5, 15, 359, 1077, 1795, 5385. There are 8 integers that are factors of 5385. The greatest factor of 5385 is 5385.
3. What are the Factors of 5389?
Answer: Factors of 5389 are 1, 17, 317, 5389. There are 4 integers that are factors of 5389. The greatest factor of 5389 is 5389.
4. How to Find the LCM of 5385 and 5389?
Answer:
Least Common Multiple of 5385 and 5389 = 29019765
Step 1: Find the prime factorization of 5385
5385 = 3 x 5 x 359
Step 2: Find the prime factorization of 5389
5389 = 17 x 317
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 29019765 = 3 x 5 x 17 x 317 x 359
Step 4: Therefore, the least common multiple of 5385 and 5389 is 29019765.