Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2383 and 2389 the smallest integer that is 5692987 that is divisible by both numbers.
Least Common Multiple (LCM) of 2383 and 2389 is 5692987.
LCM(2383,2389) = 5692987
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 2383 and 2389. First we will calculate the prime factors of 2383 and 2389.
Prime Factorization of 2383
2383 | 2383 |
1 |
Prime factors of 2383 are 2383. Prime factorization of 2383 in exponential form is:
2383 = 23831
Prime Factorization of 2389
2389 | 2389 |
1 |
Prime factors of 2389 are 2389. Prime factorization of 2389 in exponential form is:
2389 = 23891
Now multiplying the highest exponent prime factors to calculate the LCM of 2383 and 2389.
LCM(2383,2389) = 23831×23891
LCM(2383,2389) = 5692987
Factors of 2383
List of positive integer factors of 2383 that divides 2383 without a remainder.
1, 2383
Factors of 2389
List of positive integer factors of 2389 that divides 2389 without a remainder.
1, 2389
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2383 and 2389, than apply into the LCM equation.
GCF(2383,2389) = 1
LCM(2383,2389) = ( 2383 × 2389) / 1
LCM(2383,2389) = 5692987 / 1
LCM(2383,2389) = 5692987
(i) The LCM of 2389 and 2383 is associative
LCM of 2383 and 2389 = LCM of 2389 and 2383
1. What is the LCM of 2383 and 2389?
Answer: LCM of 2383 and 2389 is 5692987.
2. What are the Factors of 2383?
Answer: Factors of 2383 are 1, 2383. There are 2 integers that are factors of 2383. The greatest factor of 2383 is 2383.
3. What are the Factors of 2389?
Answer: Factors of 2389 are 1, 2389. There are 2 integers that are factors of 2389. The greatest factor of 2389 is 2389.
4. How to Find the LCM of 2383 and 2389?
Answer:
Least Common Multiple of 2383 and 2389 = 5692987
Step 1: Find the prime factorization of 2383
2383 = 2383
Step 2: Find the prime factorization of 2389
2389 = 2389
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5692987 = 2383 x 2389
Step 4: Therefore, the least common multiple of 2383 and 2389 is 5692987.