Least Common Multiple of 2365 and 2373
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 2373 the smallest integer that is 5612145 that is divisible by both numbers.
Least Common Multiple (LCM) of 2365 and 2373 is 5612145.
LCM(2365,2373) = 5612145
LCM of 2365 and 2373
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2365 and 2373 by Prime method
- Least Common Multiple of 2365 and 2373 with GCF Formula
LCM of 2365 and 2373 is 5612145
Least common multiple can be found by multiplying the highest exponent prime factors of 2365 and 2373. First we will calculate the prime factors of 2365 and 2373.
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 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
Now multiplying the highest exponent prime factors to calculate the LCM of 2365 and 2373.
LCM(2365,2373) = 31×51×71×111×431×1131
LCM(2365,2373) = 5612145
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 2373
List of positive integer factors of 2373 that divides 2373 without a remainder.
1, 3, 7, 21, 113, 339, 791, 2373
Least Common Multiple of 2365 and 2373 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 2373, than apply into the LCM equation.
GCF(2365,2373) = 1
LCM(2365,2373) = ( 2365 × 2373) / 1
LCM(2365,2373) = 5612145 / 1
LCM(2365,2373) = 5612145
Properties of LCM 2365 and 2373
(i) The LCM of 2373 and 2365 is associative
LCM of 2365 and 2373 = LCM of 2373 and 2365
Related Least Common Multiples of 2365
Related Least Common Multiples of 2373
Frequently Asked Questions on LCM of 2365 and 2373
1. What is the LCM of 2365 and 2373?
Answer: LCM of 2365 and 2373 is 5612145.
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 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.
4. How to Find the LCM of 2365 and 2373?
Answer:
Least Common Multiple of 2365 and 2373 = 5612145
Step 1: Find the prime factorization of 2365
2365 = 5 x 11 x 43
Step 2: Find the prime factorization of 2373
2373 = 3 x 7 x 113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5612145 = 3 x 5 x 7 x 11 x 43 x 113
Step 4: Therefore, the least common multiple of 2365 and 2373 is 5612145.