Least Common Multiple of 2365 and 2369
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 2369 the smallest integer that is 5602685 that is divisible by both numbers.
Least Common Multiple (LCM) of 2365 and 2369 is 5602685.
LCM(2365,2369) = 5602685
LCM of 2365 and 2369
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2365 and 2369 by Prime method
- Least Common Multiple of 2365 and 2369 with GCF Formula
LCM of 2365 and 2369 is 5602685
Least common multiple can be found by multiplying the highest exponent prime factors of 2365 and 2369. First we will calculate the prime factors of 2365 and 2369.
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 2369
| 23 | 2369 |
| 103 | 103 |
| 1 |
Prime factors of 2369 are 23,103. Prime factorization of 2369 in exponential form is:
2369 = 231×1031
Now multiplying the highest exponent prime factors to calculate the LCM of 2365 and 2369.
LCM(2365,2369) = 51×111×231×431×1031
LCM(2365,2369) = 5602685
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 2369
List of positive integer factors of 2369 that divides 2369 without a remainder.
1, 23, 103, 2369
Least Common Multiple of 2365 and 2369 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 2369, than apply into the LCM equation.
GCF(2365,2369) = 1
LCM(2365,2369) = ( 2365 × 2369) / 1
LCM(2365,2369) = 5602685 / 1
LCM(2365,2369) = 5602685
Properties of LCM 2365 and 2369
(i) The LCM of 2369 and 2365 is associative
LCM of 2365 and 2369 = LCM of 2369 and 2365
Related Least Common Multiples of 2365
Related Least Common Multiples of 2369
Frequently Asked Questions on LCM of 2365 and 2369
1. What is the LCM of 2365 and 2369?
Answer: LCM of 2365 and 2369 is 5602685.
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 2369?
Answer: Factors of 2369 are 1, 23, 103, 2369. There are 4 integers that are factors of 2369. The greatest factor of 2369 is 2369.
4. How to Find the LCM of 2365 and 2369?
Answer:
Least Common Multiple of 2365 and 2369 = 5602685
Step 1: Find the prime factorization of 2365
2365 = 5 x 11 x 43
Step 2: Find the prime factorization of 2369
2369 = 23 x 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5602685 = 5 x 11 x 23 x 43 x 103
Step 4: Therefore, the least common multiple of 2365 and 2369 is 5602685.