Least Common Multiple of 2323 and 2327
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2323 and 2327 the smallest integer that is 5405621 that is divisible by both numbers.
Least Common Multiple (LCM) of 2323 and 2327 is 5405621.
LCM(2323,2327) = 5405621
LCM of 2323 and 2327
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2323 and 2327 by Prime method
- Least Common Multiple of 2323 and 2327 with GCF Formula
LCM of 2323 and 2327 is 5405621
Least common multiple can be found by multiplying the highest exponent prime factors of 2323 and 2327. First we will calculate the prime factors of 2323 and 2327.
Prime Factorization of 2323
| 23 | 2323 |
| 101 | 101 |
| 1 |
Prime factors of 2323 are 23,101. Prime factorization of 2323 in exponential form is:
2323 = 231×1011
Prime Factorization of 2327
| 13 | 2327 |
| 179 | 179 |
| 1 |
Prime factors of 2327 are 13,179. Prime factorization of 2327 in exponential form is:
2327 = 131×1791
Now multiplying the highest exponent prime factors to calculate the LCM of 2323 and 2327.
LCM(2323,2327) = 131×231×1011×1791
LCM(2323,2327) = 5405621
Factors of 2323
List of positive integer factors of 2323 that divides 2323 without a remainder.
1, 23, 101, 2323
Factors of 2327
List of positive integer factors of 2327 that divides 2327 without a remainder.
1, 13, 179, 2327
Least Common Multiple of 2323 and 2327 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2323 and 2327, than apply into the LCM equation.
GCF(2323,2327) = 1
LCM(2323,2327) = ( 2323 × 2327) / 1
LCM(2323,2327) = 5405621 / 1
LCM(2323,2327) = 5405621
Properties of LCM 2323 and 2327
(i) The LCM of 2327 and 2323 is associative
LCM of 2323 and 2327 = LCM of 2327 and 2323
Related Least Common Multiples of 2323
Related Least Common Multiples of 2327
Frequently Asked Questions on LCM of 2323 and 2327
1. What is the LCM of 2323 and 2327?
Answer: LCM of 2323 and 2327 is 5405621.
2. What are the Factors of 2323?
Answer: Factors of 2323 are 1, 23, 101, 2323. There are 4 integers that are factors of 2323. The greatest factor of 2323 is 2323.
3. What are the Factors of 2327?
Answer: Factors of 2327 are 1, 13, 179, 2327. There are 4 integers that are factors of 2327. The greatest factor of 2327 is 2327.
4. How to Find the LCM of 2323 and 2327?
Answer:
Least Common Multiple of 2323 and 2327 = 5405621
Step 1: Find the prime factorization of 2323
2323 = 23 x 101
Step 2: Find the prime factorization of 2327
2327 = 13 x 179
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5405621 = 13 x 23 x 101 x 179
Step 4: Therefore, the least common multiple of 2323 and 2327 is 5405621.