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 2391 the smallest integer that is 5697753 that is divisible by both numbers.
Least Common Multiple (LCM) of 2383 and 2391 is 5697753.
LCM(2383,2391) = 5697753
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 2391. First we will calculate the prime factors of 2383 and 2391.
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 2391
3 | 2391 |
797 | 797 |
1 |
Prime factors of 2391 are 3,797. Prime factorization of 2391 in exponential form is:
2391 = 31×7971
Now multiplying the highest exponent prime factors to calculate the LCM of 2383 and 2391.
LCM(2383,2391) = 31×7971×23831
LCM(2383,2391) = 5697753
Factors of 2383
List of positive integer factors of 2383 that divides 2383 without a remainder.
1, 2383
Factors of 2391
List of positive integer factors of 2391 that divides 2391 without a remainder.
1, 3, 797, 2391
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2383 and 2391, than apply into the LCM equation.
GCF(2383,2391) = 1
LCM(2383,2391) = ( 2383 × 2391) / 1
LCM(2383,2391) = 5697753 / 1
LCM(2383,2391) = 5697753
(i) The LCM of 2391 and 2383 is associative
LCM of 2383 and 2391 = LCM of 2391 and 2383
1. What is the LCM of 2383 and 2391?
Answer: LCM of 2383 and 2391 is 5697753.
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 2391?
Answer: Factors of 2391 are 1, 3, 797, 2391. There are 4 integers that are factors of 2391. The greatest factor of 2391 is 2391.
4. How to Find the LCM of 2383 and 2391?
Answer:
Least Common Multiple of 2383 and 2391 = 5697753
Step 1: Find the prime factorization of 2383
2383 = 2383
Step 2: Find the prime factorization of 2391
2391 = 3 x 797
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5697753 = 3 x 797 x 2383
Step 4: Therefore, the least common multiple of 2383 and 2391 is 5697753.