Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6379 and 6385 the smallest integer that is 40729915 that is divisible by both numbers.
Least Common Multiple (LCM) of 6379 and 6385 is 40729915.
LCM(6379,6385) = 40729915
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 6379 and 6385. First we will calculate the prime factors of 6379 and 6385.
Prime Factorization of 6379
6379 | 6379 |
1 |
Prime factors of 6379 are 6379. Prime factorization of 6379 in exponential form is:
6379 = 63791
Prime Factorization of 6385
5 | 6385 |
1277 | 1277 |
1 |
Prime factors of 6385 are 5,1277. Prime factorization of 6385 in exponential form is:
6385 = 51×12771
Now multiplying the highest exponent prime factors to calculate the LCM of 6379 and 6385.
LCM(6379,6385) = 51×12771×63791
LCM(6379,6385) = 40729915
Factors of 6379
List of positive integer factors of 6379 that divides 6379 without a remainder.
1, 6379
Factors of 6385
List of positive integer factors of 6385 that divides 6385 without a remainder.
1, 5, 1277, 6385
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6379 and 6385, than apply into the LCM equation.
GCF(6379,6385) = 1
LCM(6379,6385) = ( 6379 × 6385) / 1
LCM(6379,6385) = 40729915 / 1
LCM(6379,6385) = 40729915
(i) The LCM of 6385 and 6379 is associative
LCM of 6379 and 6385 = LCM of 6385 and 6379
1. What is the LCM of 6379 and 6385?
Answer: LCM of 6379 and 6385 is 40729915.
2. 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.
3. What are the Factors of 6385?
Answer: Factors of 6385 are 1, 5, 1277, 6385. There are 4 integers that are factors of 6385. The greatest factor of 6385 is 6385.
4. How to Find the LCM of 6379 and 6385?
Answer:
Least Common Multiple of 6379 and 6385 = 40729915
Step 1: Find the prime factorization of 6379
6379 = 6379
Step 2: Find the prime factorization of 6385
6385 = 5 x 1277
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 40729915 = 5 x 1277 x 6379
Step 4: Therefore, the least common multiple of 6379 and 6385 is 40729915.