Least Common Multiple of 5389 and 5394
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5389 and 5394 the smallest integer that is 29068266 that is divisible by both numbers.
Least Common Multiple (LCM) of 5389 and 5394 is 29068266.
LCM(5389,5394) = 29068266
LCM of 5389 and 5394
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5389 and 5394 by Prime method
- Least Common Multiple of 5389 and 5394 with GCF Formula
LCM of 5389 and 5394 is 29068266
Least common multiple can be found by multiplying the highest exponent prime factors of 5389 and 5394. First we will calculate the prime factors of 5389 and 5394.
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
Prime Factorization of 5394
| 2 | 5394 |
| 3 | 2697 |
| 29 | 899 |
| 31 | 31 |
| 1 |
Prime factors of 5394 are 2, 3, 29,31. Prime factorization of 5394 in exponential form is:
5394 = 21×31×291×311
Now multiplying the highest exponent prime factors to calculate the LCM of 5389 and 5394.
LCM(5389,5394) = 21×31×171×291×311×3171
LCM(5389,5394) = 29068266
Factors of 5389
List of positive integer factors of 5389 that divides 5389 without a remainder.
1, 17, 317, 5389
Factors of 5394
List of positive integer factors of 5394 that divides 5394 without a remainder.
1, 2, 3, 6, 29, 31, 58, 62, 87, 93, 174, 186, 899, 1798, 2697, 5394
Least Common Multiple of 5389 and 5394 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5389 and 5394, than apply into the LCM equation.
GCF(5389,5394) = 1
LCM(5389,5394) = ( 5389 × 5394) / 1
LCM(5389,5394) = 29068266 / 1
LCM(5389,5394) = 29068266
Properties of LCM 5389 and 5394
(i) The LCM of 5394 and 5389 is associative
LCM of 5389 and 5394 = LCM of 5394 and 5389
Related Least Common Multiples of 5389
Related Least Common Multiples of 5394
Frequently Asked Questions on LCM of 5389 and 5394
1. What is the LCM of 5389 and 5394?
Answer: LCM of 5389 and 5394 is 29068266.
2. 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.
3. What are the Factors of 5394?
Answer: Factors of 5394 are 1, 2, 3, 6, 29, 31, 58, 62, 87, 93, 174, 186, 899, 1798, 2697, 5394. There are 16 integers that are factors of 5394. The greatest factor of 5394 is 5394.
4. How to Find the LCM of 5389 and 5394?
Answer:
Least Common Multiple of 5389 and 5394 = 29068266
Step 1: Find the prime factorization of 5389
5389 = 17 x 317
Step 2: Find the prime factorization of 5394
5394 = 2 x 3 x 29 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 29068266 = 2 x 3 x 17 x 29 x 31 x 317
Step 4: Therefore, the least common multiple of 5389 and 5394 is 29068266.