Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2379 and 2385 the smallest integer that is 1891305 that is divisible by both numbers.
Least Common Multiple (LCM) of 2379 and 2385 is 1891305.
LCM(2379,2385) = 1891305
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 2379 and 2385. First we will calculate the prime factors of 2379 and 2385.
Prime Factorization of 2379
3 | 2379 |
13 | 793 |
61 | 61 |
1 |
Prime factors of 2379 are 3, 13,61. Prime factorization of 2379 in exponential form is:
2379 = 31×131×611
Prime Factorization of 2385
3 | 2385 |
3 | 795 |
5 | 265 |
53 | 53 |
1 |
Prime factors of 2385 are 3, 5,53. Prime factorization of 2385 in exponential form is:
2385 = 32×51×531
Now multiplying the highest exponent prime factors to calculate the LCM of 2379 and 2385.
LCM(2379,2385) = 32×51×131×531×611
LCM(2379,2385) = 1891305
Factors of 2379
List of positive integer factors of 2379 that divides 2379 without a remainder.
1, 3, 13, 39, 61, 183, 793, 2379
Factors of 2385
List of positive integer factors of 2385 that divides 2385 without a remainder.
1, 3, 5, 9, 15, 45, 53, 159, 265, 477, 795, 2385
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2379 and 2385, than apply into the LCM equation.
GCF(2379,2385) = 3
LCM(2379,2385) = ( 2379 × 2385) / 3
LCM(2379,2385) = 5673915 / 3
LCM(2379,2385) = 1891305
(i) The LCM of 2385 and 2379 is associative
LCM of 2379 and 2385 = LCM of 2385 and 2379
1. What is the LCM of 2379 and 2385?
Answer: LCM of 2379 and 2385 is 1891305.
2. What are the Factors of 2379?
Answer: Factors of 2379 are 1, 3, 13, 39, 61, 183, 793, 2379. There are 8 integers that are factors of 2379. The greatest factor of 2379 is 2379.
3. What are the Factors of 2385?
Answer: Factors of 2385 are 1, 3, 5, 9, 15, 45, 53, 159, 265, 477, 795, 2385. There are 12 integers that are factors of 2385. The greatest factor of 2385 is 2385.
4. How to Find the LCM of 2379 and 2385?
Answer:
Least Common Multiple of 2379 and 2385 = 1891305
Step 1: Find the prime factorization of 2379
2379 = 3 x 13 x 61
Step 2: Find the prime factorization of 2385
2385 = 3 x 3 x 5 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1891305 = 3 x 3 x 5 x 13 x 53 x 61
Step 4: Therefore, the least common multiple of 2379 and 2385 is 1891305.