Least Common Multiple of 2301 and 2303
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2301 and 2303 the smallest integer that is 5299203 that is divisible by both numbers.
Least Common Multiple (LCM) of 2301 and 2303 is 5299203.
LCM(2301,2303) = 5299203
LCM of 2301 and 2303
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2301 and 2303 by Prime method
- Least Common Multiple of 2301 and 2303 with GCF Formula
LCM of 2301 and 2303 is 5299203
Least common multiple can be found by multiplying the highest exponent prime factors of 2301 and 2303. First we will calculate the prime factors of 2301 and 2303.
Prime Factorization of 2301
| 3 | 2301 |
| 13 | 767 |
| 59 | 59 |
| 1 |
Prime factors of 2301 are 3, 13,59. Prime factorization of 2301 in exponential form is:
2301 = 31×131×591
Prime Factorization of 2303
| 7 | 2303 |
| 7 | 329 |
| 47 | 47 |
| 1 |
Prime factors of 2303 are 7,47. Prime factorization of 2303 in exponential form is:
2303 = 72×471
Now multiplying the highest exponent prime factors to calculate the LCM of 2301 and 2303.
LCM(2301,2303) = 31×72×131×471×591
LCM(2301,2303) = 5299203
Factors of 2301
List of positive integer factors of 2301 that divides 2301 without a remainder.
1, 3, 13, 39, 59, 177, 767, 2301
Factors of 2303
List of positive integer factors of 2303 that divides 2303 without a remainder.
1, 7, 47, 49, 329, 2303
Least Common Multiple of 2301 and 2303 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2301 and 2303, than apply into the LCM equation.
GCF(2301,2303) = 1
LCM(2301,2303) = ( 2301 × 2303) / 1
LCM(2301,2303) = 5299203 / 1
LCM(2301,2303) = 5299203
Properties of LCM 2301 and 2303
(i) The LCM of 2303 and 2301 is associative
LCM of 2301 and 2303 = LCM of 2303 and 2301
Related Least Common Multiples of 2301
Related Least Common Multiples of 2303
Frequently Asked Questions on LCM of 2301 and 2303
1. What is the LCM of 2301 and 2303?
Answer: LCM of 2301 and 2303 is 5299203.
2. What are the Factors of 2301?
Answer: Factors of 2301 are 1, 3, 13, 39, 59, 177, 767, 2301. There are 8 integers that are factors of 2301. The greatest factor of 2301 is 2301.
3. What are the Factors of 2303?
Answer: Factors of 2303 are 1, 7, 47, 49, 329, 2303. There are 6 integers that are factors of 2303. The greatest factor of 2303 is 2303.
4. How to Find the LCM of 2301 and 2303?
Answer:
Least Common Multiple of 2301 and 2303 = 5299203
Step 1: Find the prime factorization of 2301
2301 = 3 x 13 x 59
Step 2: Find the prime factorization of 2303
2303 = 7 x 7 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5299203 = 3 x 7 x 7 x 13 x 47 x 59
Step 4: Therefore, the least common multiple of 2301 and 2303 is 5299203.