Least Common Multiple of 2379 and 2383
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 2383 the smallest integer that is 5669157 that is divisible by both numbers.
Least Common Multiple (LCM) of 2379 and 2383 is 5669157.
LCM(2379,2383) = 5669157
LCM of 2379 and 2383
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2379 and 2383 by Prime method
- Least Common Multiple of 2379 and 2383 with GCF Formula
LCM of 2379 and 2383 is 5669157
Least common multiple can be found by multiplying the highest exponent prime factors of 2379 and 2383. First we will calculate the prime factors of 2379 and 2383.
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 2383
| 2383 | 2383 |
| 1 |
Prime factors of 2383 are 2383. Prime factorization of 2383 in exponential form is:
2383 = 23831
Now multiplying the highest exponent prime factors to calculate the LCM of 2379 and 2383.
LCM(2379,2383) = 31×131×611×23831
LCM(2379,2383) = 5669157
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 2383
List of positive integer factors of 2383 that divides 2383 without a remainder.
1, 2383
Least Common Multiple of 2379 and 2383 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2379 and 2383, than apply into the LCM equation.
GCF(2379,2383) = 1
LCM(2379,2383) = ( 2379 × 2383) / 1
LCM(2379,2383) = 5669157 / 1
LCM(2379,2383) = 5669157
Properties of LCM 2379 and 2383
(i) The LCM of 2383 and 2379 is associative
LCM of 2379 and 2383 = LCM of 2383 and 2379
Related Least Common Multiples of 2379
Related Least Common Multiples of 2383
Frequently Asked Questions on LCM of 2379 and 2383
1. What is the LCM of 2379 and 2383?
Answer: LCM of 2379 and 2383 is 5669157.
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 2383?
Answer: Factors of 2383 are 1, 2383. There are 2 integers that are factors of 2383. The greatest factor of 2383 is 2383.
4. How to Find the LCM of 2379 and 2383?
Answer:
Least Common Multiple of 2379 and 2383 = 5669157
Step 1: Find the prime factorization of 2379
2379 = 3 x 13 x 61
Step 2: Find the prime factorization of 2383
2383 = 2383
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5669157 = 3 x 13 x 61 x 2383
Step 4: Therefore, the least common multiple of 2379 and 2383 is 5669157.