Least Common Multiple of 2321 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 2321 and 2329 the smallest integer that is 5405609 that is divisible by both numbers.
Least Common Multiple (LCM) of 2321 and 2329 is 5405609.
LCM(2321,2329) = 5405609
LCM of 2321 and 2329
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2321 and 2329 by Prime method
- Least Common Multiple of 2321 and 2329 with GCF Formula
LCM of 2321 and 2329 is 5405609
Least common multiple can be found by multiplying the highest exponent prime factors of 2321 and 2329. First we will calculate the prime factors of 2321 and 2329.
Prime Factorization of 2321
| 11 | 2321 |
| 211 | 211 |
| 1 |
Prime factors of 2321 are 11,211. Prime factorization of 2321 in exponential form is:
2321 = 111×2111
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 2321 and 2329.
LCM(2321,2329) = 111×171×1371×2111
LCM(2321,2329) = 5405609
Factors of 2321
List of positive integer factors of 2321 that divides 2321 without a remainder.
1, 11, 211, 2321
Factors of 2329
List of positive integer factors of 2329 that divides 2329 without a remainder.
1, 17, 137, 2329
Least Common Multiple of 2321 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 2321 and 2329, than apply into the LCM equation.
GCF(2321,2329) = 1
LCM(2321,2329) = ( 2321 × 2329) / 1
LCM(2321,2329) = 5405609 / 1
LCM(2321,2329) = 5405609
Properties of LCM 2321 and 2329
(i) The LCM of 2329 and 2321 is associative
LCM of 2321 and 2329 = LCM of 2329 and 2321
Related Least Common Multiples of 2321
Related Least Common Multiples of 2329
Frequently Asked Questions on LCM of 2321 and 2329
1. What is the LCM of 2321 and 2329?
Answer: LCM of 2321 and 2329 is 5405609.
2. What are the Factors of 2321?
Answer: Factors of 2321 are 1, 11, 211, 2321. There are 4 integers that are factors of 2321. The greatest factor of 2321 is 2321.
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 2321 and 2329?
Answer:
Least Common Multiple of 2321 and 2329 = 5405609
Step 1: Find the prime factorization of 2321
2321 = 11 x 211
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 = 5405609 = 11 x 17 x 137 x 211
Step 4: Therefore, the least common multiple of 2321 and 2329 is 5405609.