Least Common Multiple of 2365 and 2371
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2365 and 2371 the smallest integer that is 5607415 that is divisible by both numbers.
Least Common Multiple (LCM) of 2365 and 2371 is 5607415.
LCM(2365,2371) = 5607415
LCM of 2365 and 2371
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2365 and 2371 by Prime method
- Least Common Multiple of 2365 and 2371 with GCF Formula
LCM of 2365 and 2371 is 5607415
Least common multiple can be found by multiplying the highest exponent prime factors of 2365 and 2371. First we will calculate the prime factors of 2365 and 2371.
Prime Factorization of 2365
| 5 | 2365 |
| 11 | 473 |
| 43 | 43 |
| 1 |
Prime factors of 2365 are 5, 11,43. Prime factorization of 2365 in exponential form is:
2365 = 51×111×431
Prime Factorization of 2371
| 2371 | 2371 |
| 1 |
Prime factors of 2371 are 2371. Prime factorization of 2371 in exponential form is:
2371 = 23711
Now multiplying the highest exponent prime factors to calculate the LCM of 2365 and 2371.
LCM(2365,2371) = 51×111×431×23711
LCM(2365,2371) = 5607415
Factors of 2365
List of positive integer factors of 2365 that divides 2365 without a remainder.
1, 5, 11, 43, 55, 215, 473, 2365
Factors of 2371
List of positive integer factors of 2371 that divides 2371 without a remainder.
1, 2371
Least Common Multiple of 2365 and 2371 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2365 and 2371, than apply into the LCM equation.
GCF(2365,2371) = 1
LCM(2365,2371) = ( 2365 × 2371) / 1
LCM(2365,2371) = 5607415 / 1
LCM(2365,2371) = 5607415
Properties of LCM 2365 and 2371
(i) The LCM of 2371 and 2365 is associative
LCM of 2365 and 2371 = LCM of 2371 and 2365
Related Least Common Multiples of 2365
Related Least Common Multiples of 2371
Frequently Asked Questions on LCM of 2365 and 2371
1. What is the LCM of 2365 and 2371?
Answer: LCM of 2365 and 2371 is 5607415.
2. What are the Factors of 2365?
Answer: Factors of 2365 are 1, 5, 11, 43, 55, 215, 473, 2365. There are 8 integers that are factors of 2365. The greatest factor of 2365 is 2365.
3. What are the Factors of 2371?
Answer: Factors of 2371 are 1, 2371. There are 2 integers that are factors of 2371. The greatest factor of 2371 is 2371.
4. How to Find the LCM of 2365 and 2371?
Answer:
Least Common Multiple of 2365 and 2371 = 5607415
Step 1: Find the prime factorization of 2365
2365 = 5 x 11 x 43
Step 2: Find the prime factorization of 2371
2371 = 2371
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5607415 = 5 x 11 x 43 x 2371
Step 4: Therefore, the least common multiple of 2365 and 2371 is 5607415.