Least Common Multiple of 2375 and 2379
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2375 and 2379 the smallest integer that is 5650125 that is divisible by both numbers.
Least Common Multiple (LCM) of 2375 and 2379 is 5650125.
LCM(2375,2379) = 5650125
LCM of 2375 and 2379
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2375 and 2379 by Prime method
- Least Common Multiple of 2375 and 2379 with GCF Formula
LCM of 2375 and 2379 is 5650125
Least common multiple can be found by multiplying the highest exponent prime factors of 2375 and 2379. First we will calculate the prime factors of 2375 and 2379.
Prime Factorization of 2375
| 5 | 2375 |
| 5 | 475 |
| 5 | 95 |
| 19 | 19 |
| 1 |
Prime factors of 2375 are 5,19. Prime factorization of 2375 in exponential form is:
2375 = 53×191
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
Now multiplying the highest exponent prime factors to calculate the LCM of 2375 and 2379.
LCM(2375,2379) = 31×53×131×191×611
LCM(2375,2379) = 5650125
Factors of 2375
List of positive integer factors of 2375 that divides 2375 without a remainder.
1, 5, 19, 25, 95, 125, 475, 2375
Factors of 2379
List of positive integer factors of 2379 that divides 2379 without a remainder.
1, 3, 13, 39, 61, 183, 793, 2379
Least Common Multiple of 2375 and 2379 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2375 and 2379, than apply into the LCM equation.
GCF(2375,2379) = 1
LCM(2375,2379) = ( 2375 × 2379) / 1
LCM(2375,2379) = 5650125 / 1
LCM(2375,2379) = 5650125
Properties of LCM 2375 and 2379
(i) The LCM of 2379 and 2375 is associative
LCM of 2375 and 2379 = LCM of 2379 and 2375
Related Least Common Multiples of 2375
Related Least Common Multiples of 2379
Frequently Asked Questions on LCM of 2375 and 2379
1. What is the LCM of 2375 and 2379?
Answer: LCM of 2375 and 2379 is 5650125.
2. What are the Factors of 2375?
Answer: Factors of 2375 are 1, 5, 19, 25, 95, 125, 475, 2375. There are 8 integers that are factors of 2375. The greatest factor of 2375 is 2375.
3. 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.
4. How to Find the LCM of 2375 and 2379?
Answer:
Least Common Multiple of 2375 and 2379 = 5650125
Step 1: Find the prime factorization of 2375
2375 = 5 x 5 x 5 x 19
Step 2: Find the prime factorization of 2379
2379 = 3 x 13 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5650125 = 3 x 5 x 5 x 5 x 13 x 19 x 61
Step 4: Therefore, the least common multiple of 2375 and 2379 is 5650125.