Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6315 and 6323 the smallest integer that is 39929745 that is divisible by both numbers.
Least Common Multiple (LCM) of 6315 and 6323 is 39929745.
LCM(6315,6323) = 39929745
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 6315 and 6323. First we will calculate the prime factors of 6315 and 6323.
Prime Factorization of 6315
3 | 6315 |
5 | 2105 |
421 | 421 |
1 |
Prime factors of 6315 are 3, 5,421. Prime factorization of 6315 in exponential form is:
6315 = 31×51×4211
Prime Factorization of 6323
6323 | 6323 |
1 |
Prime factors of 6323 are 6323. Prime factorization of 6323 in exponential form is:
6323 = 63231
Now multiplying the highest exponent prime factors to calculate the LCM of 6315 and 6323.
LCM(6315,6323) = 31×51×4211×63231
LCM(6315,6323) = 39929745
Factors of 6315
List of positive integer factors of 6315 that divides 6315 without a remainder.
1, 3, 5, 15, 421, 1263, 2105, 6315
Factors of 6323
List of positive integer factors of 6323 that divides 6323 without a remainder.
1, 6323
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6315 and 6323, than apply into the LCM equation.
GCF(6315,6323) = 1
LCM(6315,6323) = ( 6315 × 6323) / 1
LCM(6315,6323) = 39929745 / 1
LCM(6315,6323) = 39929745
(i) The LCM of 6323 and 6315 is associative
LCM of 6315 and 6323 = LCM of 6323 and 6315
1. What is the LCM of 6315 and 6323?
Answer: LCM of 6315 and 6323 is 39929745.
2. What are the Factors of 6315?
Answer: Factors of 6315 are 1, 3, 5, 15, 421, 1263, 2105, 6315. There are 8 integers that are factors of 6315. The greatest factor of 6315 is 6315.
3. What are the Factors of 6323?
Answer: Factors of 6323 are 1, 6323. There are 2 integers that are factors of 6323. The greatest factor of 6323 is 6323.
4. How to Find the LCM of 6315 and 6323?
Answer:
Least Common Multiple of 6315 and 6323 = 39929745
Step 1: Find the prime factorization of 6315
6315 = 3 x 5 x 421
Step 2: Find the prime factorization of 6323
6323 = 6323
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 39929745 = 3 x 5 x 421 x 6323
Step 4: Therefore, the least common multiple of 6315 and 6323 is 39929745.