Least Common Multiple of 2397 and 2401
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2397 and 2401 the smallest integer that is 5755197 that is divisible by both numbers.
Least Common Multiple (LCM) of 2397 and 2401 is 5755197.
LCM(2397,2401) = 5755197
LCM of 2397 and 2401
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2397 and 2401 by Prime method
- Least Common Multiple of 2397 and 2401 with GCF Formula
LCM of 2397 and 2401 is 5755197
Least common multiple can be found by multiplying the highest exponent prime factors of 2397 and 2401. First we will calculate the prime factors of 2397 and 2401.
Prime Factorization of 2397
| 3 | 2397 |
| 17 | 799 |
| 47 | 47 |
| 1 |
Prime factors of 2397 are 3, 17,47. Prime factorization of 2397 in exponential form is:
2397 = 31×171×471
Prime Factorization of 2401
| 7 | 2401 |
| 7 | 343 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 2401 are 7. Prime factorization of 2401 in exponential form is:
2401 = 74
Now multiplying the highest exponent prime factors to calculate the LCM of 2397 and 2401.
LCM(2397,2401) = 31×74×171×471
LCM(2397,2401) = 5755197
Factors of 2397
List of positive integer factors of 2397 that divides 2397 without a remainder.
1, 3, 17, 47, 51, 141, 799, 2397
Factors of 2401
List of positive integer factors of 2401 that divides 2401 without a remainder.
1, 7, 49, 343, 2401
Least Common Multiple of 2397 and 2401 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2397 and 2401, than apply into the LCM equation.
GCF(2397,2401) = 1
LCM(2397,2401) = ( 2397 × 2401) / 1
LCM(2397,2401) = 5755197 / 1
LCM(2397,2401) = 5755197
Properties of LCM 2397 and 2401
(i) The LCM of 2401 and 2397 is associative
LCM of 2397 and 2401 = LCM of 2401 and 2397
Related Least Common Multiples of 2397
Related Least Common Multiples of 2401
Frequently Asked Questions on LCM of 2397 and 2401
1. What is the LCM of 2397 and 2401?
Answer: LCM of 2397 and 2401 is 5755197.
2. What are the Factors of 2397?
Answer: Factors of 2397 are 1, 3, 17, 47, 51, 141, 799, 2397. There are 8 integers that are factors of 2397. The greatest factor of 2397 is 2397.
3. What are the Factors of 2401?
Answer: Factors of 2401 are 1, 7, 49, 343, 2401. There are 5 integers that are factors of 2401. The greatest factor of 2401 is 2401.
4. How to Find the LCM of 2397 and 2401?
Answer:
Least Common Multiple of 2397 and 2401 = 5755197
Step 1: Find the prime factorization of 2397
2397 = 3 x 17 x 47
Step 2: Find the prime factorization of 2401
2401 = 7 x 7 x 7 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5755197 = 3 x 7 x 7 x 7 x 7 x 17 x 47
Step 4: Therefore, the least common multiple of 2397 and 2401 is 5755197.