Least Common Multiple of 2365 and 2370
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 2370 the smallest integer that is 1121010 that is divisible by both numbers.
Least Common Multiple (LCM) of 2365 and 2370 is 1121010.
LCM(2365,2370) = 1121010
LCM of 2365 and 2370
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2365 and 2370 by Prime method
- Least Common Multiple of 2365 and 2370 with GCF Formula
LCM of 2365 and 2370 is 1121010
Least common multiple can be found by multiplying the highest exponent prime factors of 2365 and 2370. First we will calculate the prime factors of 2365 and 2370.
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 2370
| 2 | 2370 |
| 3 | 1185 |
| 5 | 395 |
| 79 | 79 |
| 1 |
Prime factors of 2370 are 2, 3, 5,79. Prime factorization of 2370 in exponential form is:
2370 = 21×31×51×791
Now multiplying the highest exponent prime factors to calculate the LCM of 2365 and 2370.
LCM(2365,2370) = 21×31×51×111×431×791
LCM(2365,2370) = 1121010
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 2370
List of positive integer factors of 2370 that divides 2370 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 79, 158, 237, 395, 474, 790, 1185, 2370
Least Common Multiple of 2365 and 2370 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 2370, than apply into the LCM equation.
GCF(2365,2370) = 5
LCM(2365,2370) = ( 2365 × 2370) / 5
LCM(2365,2370) = 5605050 / 5
LCM(2365,2370) = 1121010
Properties of LCM 2365 and 2370
(i) The LCM of 2370 and 2365 is associative
LCM of 2365 and 2370 = LCM of 2370 and 2365
Related Least Common Multiples of 2365
Related Least Common Multiples of 2370
Frequently Asked Questions on LCM of 2365 and 2370
1. What is the LCM of 2365 and 2370?
Answer: LCM of 2365 and 2370 is 1121010.
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 2370?
Answer: Factors of 2370 are 1, 2, 3, 5, 6, 10, 15, 30, 79, 158, 237, 395, 474, 790, 1185, 2370. There are 16 integers that are factors of 2370. The greatest factor of 2370 is 2370.
4. How to Find the LCM of 2365 and 2370?
Answer:
Least Common Multiple of 2365 and 2370 = 1121010
Step 1: Find the prime factorization of 2365
2365 = 5 x 11 x 43
Step 2: Find the prime factorization of 2370
2370 = 2 x 3 x 5 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1121010 = 2 x 3 x 5 x 11 x 43 x 79
Step 4: Therefore, the least common multiple of 2365 and 2370 is 1121010.