Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6327 and 6334 the smallest integer that is 40075218 that is divisible by both numbers.
Least Common Multiple (LCM) of 6327 and 6334 is 40075218.
LCM(6327,6334) = 40075218
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 6327 and 6334. First we will calculate the prime factors of 6327 and 6334.
Prime Factorization of 6327
3 | 6327 |
3 | 2109 |
19 | 703 |
37 | 37 |
1 |
Prime factors of 6327 are 3, 19,37. Prime factorization of 6327 in exponential form is:
6327 = 32×191×371
Prime Factorization of 6334
2 | 6334 |
3167 | 3167 |
1 |
Prime factors of 6334 are 2,3167. Prime factorization of 6334 in exponential form is:
6334 = 21×31671
Now multiplying the highest exponent prime factors to calculate the LCM of 6327 and 6334.
LCM(6327,6334) = 21×32×191×371×31671
LCM(6327,6334) = 40075218
Factors of 6327
List of positive integer factors of 6327 that divides 6327 without a remainder.
1, 3, 9, 19, 37, 57, 111, 171, 333, 703, 2109, 6327
Factors of 6334
List of positive integer factors of 6334 that divides 6334 without a remainder.
1, 2, 3167, 6334
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6327 and 6334, than apply into the LCM equation.
GCF(6327,6334) = 1
LCM(6327,6334) = ( 6327 × 6334) / 1
LCM(6327,6334) = 40075218 / 1
LCM(6327,6334) = 40075218
(i) The LCM of 6334 and 6327 is associative
LCM of 6327 and 6334 = LCM of 6334 and 6327
1. What is the LCM of 6327 and 6334?
Answer: LCM of 6327 and 6334 is 40075218.
2. What are the Factors of 6327?
Answer: Factors of 6327 are 1, 3, 9, 19, 37, 57, 111, 171, 333, 703, 2109, 6327. There are 12 integers that are factors of 6327. The greatest factor of 6327 is 6327.
3. What are the Factors of 6334?
Answer: Factors of 6334 are 1, 2, 3167, 6334. There are 4 integers that are factors of 6334. The greatest factor of 6334 is 6334.
4. How to Find the LCM of 6327 and 6334?
Answer:
Least Common Multiple of 6327 and 6334 = 40075218
Step 1: Find the prime factorization of 6327
6327 = 3 x 3 x 19 x 37
Step 2: Find the prime factorization of 6334
6334 = 2 x 3167
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 40075218 = 2 x 3 x 3 x 19 x 37 x 3167
Step 4: Therefore, the least common multiple of 6327 and 6334 is 40075218.