Least Common Multiple of 2327 and 2329
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2327 and 2329 the smallest integer that is 5419583 that is divisible by both numbers.
Least Common Multiple (LCM) of 2327 and 2329 is 5419583.
LCM(2327,2329) = 5419583
LCM of 2327 and 2329
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2327 and 2329 by Prime method
- Least Common Multiple of 2327 and 2329 with GCF Formula
LCM of 2327 and 2329 is 5419583
Least common multiple can be found by multiplying the highest exponent prime factors of 2327 and 2329. First we will calculate the prime factors of 2327 and 2329.
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
Prime Factorization of 2329
| 17 | 2329 |
| 137 | 137 |
| 1 |
Prime factors of 2329 are 17,137. Prime factorization of 2329 in exponential form is:
2329 = 171×1371
Now multiplying the highest exponent prime factors to calculate the LCM of 2327 and 2329.
LCM(2327,2329) = 131×171×1371×1791
LCM(2327,2329) = 5419583
Factors of 2327
List of positive integer factors of 2327 that divides 2327 without a remainder.
1, 13, 179, 2327
Factors of 2329
List of positive integer factors of 2329 that divides 2329 without a remainder.
1, 17, 137, 2329
Least Common Multiple of 2327 and 2329 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2327 and 2329, than apply into the LCM equation.
GCF(2327,2329) = 1
LCM(2327,2329) = ( 2327 × 2329) / 1
LCM(2327,2329) = 5419583 / 1
LCM(2327,2329) = 5419583
Properties of LCM 2327 and 2329
(i) The LCM of 2329 and 2327 is associative
LCM of 2327 and 2329 = LCM of 2329 and 2327
Related Least Common Multiples of 2327
Related Least Common Multiples of 2329
Frequently Asked Questions on LCM of 2327 and 2329
1. What is the LCM of 2327 and 2329?
Answer: LCM of 2327 and 2329 is 5419583.
2. 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.
3. What are the Factors of 2329?
Answer: Factors of 2329 are 1, 17, 137, 2329. There are 4 integers that are factors of 2329. The greatest factor of 2329 is 2329.
4. How to Find the LCM of 2327 and 2329?
Answer:
Least Common Multiple of 2327 and 2329 = 5419583
Step 1: Find the prime factorization of 2327
2327 = 13 x 179
Step 2: Find the prime factorization of 2329
2329 = 17 x 137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5419583 = 13 x 17 x 137 x 179
Step 4: Therefore, the least common multiple of 2327 and 2329 is 5419583.