Least Common Multiple of 2373 and 2378
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2373 and 2378 the smallest integer that is 5642994 that is divisible by both numbers.
Least Common Multiple (LCM) of 2373 and 2378 is 5642994.
LCM(2373,2378) = 5642994
LCM of 2373 and 2378
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2373 and 2378 by Prime method
- Least Common Multiple of 2373 and 2378 with GCF Formula
LCM of 2373 and 2378 is 5642994
Least common multiple can be found by multiplying the highest exponent prime factors of 2373 and 2378. First we will calculate the prime factors of 2373 and 2378.
Prime Factorization of 2373
| 3 | 2373 |
| 7 | 791 |
| 113 | 113 |
| 1 |
Prime factors of 2373 are 3, 7,113. Prime factorization of 2373 in exponential form is:
2373 = 31×71×1131
Prime Factorization of 2378
| 2 | 2378 |
| 29 | 1189 |
| 41 | 41 |
| 1 |
Prime factors of 2378 are 2, 29,41. Prime factorization of 2378 in exponential form is:
2378 = 21×291×411
Now multiplying the highest exponent prime factors to calculate the LCM of 2373 and 2378.
LCM(2373,2378) = 21×31×71×291×411×1131
LCM(2373,2378) = 5642994
Factors of 2373
List of positive integer factors of 2373 that divides 2373 without a remainder.
1, 3, 7, 21, 113, 339, 791, 2373
Factors of 2378
List of positive integer factors of 2378 that divides 2378 without a remainder.
1, 2, 29, 41, 58, 82, 1189, 2378
Least Common Multiple of 2373 and 2378 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2373 and 2378, than apply into the LCM equation.
GCF(2373,2378) = 1
LCM(2373,2378) = ( 2373 × 2378) / 1
LCM(2373,2378) = 5642994 / 1
LCM(2373,2378) = 5642994
Properties of LCM 2373 and 2378
(i) The LCM of 2378 and 2373 is associative
LCM of 2373 and 2378 = LCM of 2378 and 2373
Related Least Common Multiples of 2373
Related Least Common Multiples of 2378
Frequently Asked Questions on LCM of 2373 and 2378
1. What is the LCM of 2373 and 2378?
Answer: LCM of 2373 and 2378 is 5642994.
2. What are the Factors of 2373?
Answer: Factors of 2373 are 1, 3, 7, 21, 113, 339, 791, 2373. There are 8 integers that are factors of 2373. The greatest factor of 2373 is 2373.
3. What are the Factors of 2378?
Answer: Factors of 2378 are 1, 2, 29, 41, 58, 82, 1189, 2378. There are 8 integers that are factors of 2378. The greatest factor of 2378 is 2378.
4. How to Find the LCM of 2373 and 2378?
Answer:
Least Common Multiple of 2373 and 2378 = 5642994
Step 1: Find the prime factorization of 2373
2373 = 3 x 7 x 113
Step 2: Find the prime factorization of 2378
2378 = 2 x 29 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5642994 = 2 x 3 x 7 x 29 x 41 x 113
Step 4: Therefore, the least common multiple of 2373 and 2378 is 5642994.