Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6393 and 6397 the smallest integer that is 40896021 that is divisible by both numbers.
Least Common Multiple (LCM) of 6393 and 6397 is 40896021.
LCM(6393,6397) = 40896021
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 6393 and 6397. First we will calculate the prime factors of 6393 and 6397.
Prime Factorization of 6393
3 | 6393 |
2131 | 2131 |
1 |
Prime factors of 6393 are 3,2131. Prime factorization of 6393 in exponential form is:
6393 = 31×21311
Prime Factorization of 6397
6397 | 6397 |
1 |
Prime factors of 6397 are 6397. Prime factorization of 6397 in exponential form is:
6397 = 63971
Now multiplying the highest exponent prime factors to calculate the LCM of 6393 and 6397.
LCM(6393,6397) = 31×21311×63971
LCM(6393,6397) = 40896021
Factors of 6393
List of positive integer factors of 6393 that divides 6393 without a remainder.
1, 3, 2131, 6393
Factors of 6397
List of positive integer factors of 6397 that divides 6397 without a remainder.
1, 6397
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6393 and 6397, than apply into the LCM equation.
GCF(6393,6397) = 1
LCM(6393,6397) = ( 6393 × 6397) / 1
LCM(6393,6397) = 40896021 / 1
LCM(6393,6397) = 40896021
(i) The LCM of 6397 and 6393 is associative
LCM of 6393 and 6397 = LCM of 6397 and 6393
1. What is the LCM of 6393 and 6397?
Answer: LCM of 6393 and 6397 is 40896021.
2. What are the Factors of 6393?
Answer: Factors of 6393 are 1, 3, 2131, 6393. There are 4 integers that are factors of 6393. The greatest factor of 6393 is 6393.
3. What are the Factors of 6397?
Answer: Factors of 6397 are 1, 6397. There are 2 integers that are factors of 6397. The greatest factor of 6397 is 6397.
4. How to Find the LCM of 6393 and 6397?
Answer:
Least Common Multiple of 6393 and 6397 = 40896021
Step 1: Find the prime factorization of 6393
6393 = 3 x 2131
Step 2: Find the prime factorization of 6397
6397 = 6397
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 40896021 = 3 x 2131 x 6397
Step 4: Therefore, the least common multiple of 6393 and 6397 is 40896021.