Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6373 and 6379 the smallest integer that is 40653367 that is divisible by both numbers.
Least Common Multiple (LCM) of 6373 and 6379 is 40653367.
LCM(6373,6379) = 40653367
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 6373 and 6379. First we will calculate the prime factors of 6373 and 6379.
Prime Factorization of 6373
6373 | 6373 |
1 |
Prime factors of 6373 are 6373. Prime factorization of 6373 in exponential form is:
6373 = 63731
Prime Factorization of 6379
6379 | 6379 |
1 |
Prime factors of 6379 are 6379. Prime factorization of 6379 in exponential form is:
6379 = 63791
Now multiplying the highest exponent prime factors to calculate the LCM of 6373 and 6379.
LCM(6373,6379) = 63731×63791
LCM(6373,6379) = 40653367
Factors of 6373
List of positive integer factors of 6373 that divides 6373 without a remainder.
1, 6373
Factors of 6379
List of positive integer factors of 6379 that divides 6379 without a remainder.
1, 6379
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6373 and 6379, than apply into the LCM equation.
GCF(6373,6379) = 1
LCM(6373,6379) = ( 6373 × 6379) / 1
LCM(6373,6379) = 40653367 / 1
LCM(6373,6379) = 40653367
(i) The LCM of 6379 and 6373 is associative
LCM of 6373 and 6379 = LCM of 6379 and 6373
1. What is the LCM of 6373 and 6379?
Answer: LCM of 6373 and 6379 is 40653367.
2. What are the Factors of 6373?
Answer: Factors of 6373 are 1, 6373. There are 2 integers that are factors of 6373. The greatest factor of 6373 is 6373.
3. What are the Factors of 6379?
Answer: Factors of 6379 are 1, 6379. There are 2 integers that are factors of 6379. The greatest factor of 6379 is 6379.
4. How to Find the LCM of 6373 and 6379?
Answer:
Least Common Multiple of 6373 and 6379 = 40653367
Step 1: Find the prime factorization of 6373
6373 = 6373
Step 2: Find the prime factorization of 6379
6379 = 6379
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 40653367 = 6373 x 6379
Step 4: Therefore, the least common multiple of 6373 and 6379 is 40653367.