Least Common Multiple of 5383 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 5383 and 5389 the smallest integer that is 29008987 that is divisible by both numbers.
Least Common Multiple (LCM) of 5383 and 5389 is 29008987.
LCM(5383,5389) = 29008987
LCM of 5383 and 5389
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5383 and 5389 by Prime method
- Least Common Multiple of 5383 and 5389 with GCF Formula
LCM of 5383 and 5389 is 29008987
Least common multiple can be found by multiplying the highest exponent prime factors of 5383 and 5389. First we will calculate the prime factors of 5383 and 5389.
Prime Factorization of 5383
| 7 | 5383 |
| 769 | 769 |
| 1 |
Prime factors of 5383 are 7,769. Prime factorization of 5383 in exponential form is:
5383 = 71×7691
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 5383 and 5389.
LCM(5383,5389) = 71×171×3171×7691
LCM(5383,5389) = 29008987
Factors of 5383
List of positive integer factors of 5383 that divides 5383 without a remainder.
1, 7, 769, 5383
Factors of 5389
List of positive integer factors of 5389 that divides 5389 without a remainder.
1, 17, 317, 5389
Least Common Multiple of 5383 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 5383 and 5389, than apply into the LCM equation.
GCF(5383,5389) = 1
LCM(5383,5389) = ( 5383 × 5389) / 1
LCM(5383,5389) = 29008987 / 1
LCM(5383,5389) = 29008987
Properties of LCM 5383 and 5389
(i) The LCM of 5389 and 5383 is associative
LCM of 5383 and 5389 = LCM of 5389 and 5383
Related Least Common Multiples of 5383
Related Least Common Multiples of 5389
Frequently Asked Questions on LCM of 5383 and 5389
1. What is the LCM of 5383 and 5389?
Answer: LCM of 5383 and 5389 is 29008987.
2. What are the Factors of 5383?
Answer: Factors of 5383 are 1, 7, 769, 5383. There are 4 integers that are factors of 5383. The greatest factor of 5383 is 5383.
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 5383 and 5389?
Answer:
Least Common Multiple of 5383 and 5389 = 29008987
Step 1: Find the prime factorization of 5383
5383 = 7 x 769
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 = 29008987 = 7 x 17 x 317 x 769
Step 4: Therefore, the least common multiple of 5383 and 5389 is 29008987.