Least Common Multiple of 2361 and 2365
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2361 and 2365 the smallest integer that is 5583765 that is divisible by both numbers.
Least Common Multiple (LCM) of 2361 and 2365 is 5583765.
LCM(2361,2365) = 5583765
LCM of 2361 and 2365
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2361 and 2365 by Prime method
- Least Common Multiple of 2361 and 2365 with GCF Formula
LCM of 2361 and 2365 is 5583765
Least common multiple can be found by multiplying the highest exponent prime factors of 2361 and 2365. First we will calculate the prime factors of 2361 and 2365.
Prime Factorization of 2361
| 3 | 2361 |
| 787 | 787 |
| 1 |
Prime factors of 2361 are 3,787. Prime factorization of 2361 in exponential form is:
2361 = 31×7871
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
Now multiplying the highest exponent prime factors to calculate the LCM of 2361 and 2365.
LCM(2361,2365) = 31×51×111×431×7871
LCM(2361,2365) = 5583765
Factors of 2361
List of positive integer factors of 2361 that divides 2361 without a remainder.
1, 3, 787, 2361
Factors of 2365
List of positive integer factors of 2365 that divides 2365 without a remainder.
1, 5, 11, 43, 55, 215, 473, 2365
Least Common Multiple of 2361 and 2365 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2361 and 2365, than apply into the LCM equation.
GCF(2361,2365) = 1
LCM(2361,2365) = ( 2361 × 2365) / 1
LCM(2361,2365) = 5583765 / 1
LCM(2361,2365) = 5583765
Properties of LCM 2361 and 2365
(i) The LCM of 2365 and 2361 is associative
LCM of 2361 and 2365 = LCM of 2365 and 2361
Related Least Common Multiples of 2361
Related Least Common Multiples of 2365
Frequently Asked Questions on LCM of 2361 and 2365
1. What is the LCM of 2361 and 2365?
Answer: LCM of 2361 and 2365 is 5583765.
2. What are the Factors of 2361?
Answer: Factors of 2361 are 1, 3, 787, 2361. There are 4 integers that are factors of 2361. The greatest factor of 2361 is 2361.
3. 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.
4. How to Find the LCM of 2361 and 2365?
Answer:
Least Common Multiple of 2361 and 2365 = 5583765
Step 1: Find the prime factorization of 2361
2361 = 3 x 787
Step 2: Find the prime factorization of 2365
2365 = 5 x 11 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5583765 = 3 x 5 x 11 x 43 x 787
Step 4: Therefore, the least common multiple of 2361 and 2365 is 5583765.