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 2402 the smallest integer that is 5757594 that is divisible by both numbers.
Least Common Multiple (LCM) of 2397 and 2402 is 5757594.
LCM(2397,2402) = 5757594
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 2397 and 2402. First we will calculate the prime factors of 2397 and 2402.
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 2402
2 | 2402 |
1201 | 1201 |
1 |
Prime factors of 2402 are 2,1201. Prime factorization of 2402 in exponential form is:
2402 = 21×12011
Now multiplying the highest exponent prime factors to calculate the LCM of 2397 and 2402.
LCM(2397,2402) = 21×31×171×471×12011
LCM(2397,2402) = 5757594
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 2402
List of positive integer factors of 2402 that divides 2402 without a remainder.
1, 2, 1201, 2402
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2397 and 2402, than apply into the LCM equation.
GCF(2397,2402) = 1
LCM(2397,2402) = ( 2397 × 2402) / 1
LCM(2397,2402) = 5757594 / 1
LCM(2397,2402) = 5757594
(i) The LCM of 2402 and 2397 is associative
LCM of 2397 and 2402 = LCM of 2402 and 2397
1. What is the LCM of 2397 and 2402?
Answer: LCM of 2397 and 2402 is 5757594.
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 2402?
Answer: Factors of 2402 are 1, 2, 1201, 2402. There are 4 integers that are factors of 2402. The greatest factor of 2402 is 2402.
4. How to Find the LCM of 2397 and 2402?
Answer:
Least Common Multiple of 2397 and 2402 = 5757594
Step 1: Find the prime factorization of 2397
2397 = 3 x 17 x 47
Step 2: Find the prime factorization of 2402
2402 = 2 x 1201
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5757594 = 2 x 3 x 17 x 47 x 1201
Step 4: Therefore, the least common multiple of 2397 and 2402 is 5757594.