Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6333 and 6338 the smallest integer that is 40138554 that is divisible by both numbers.
Least Common Multiple (LCM) of 6333 and 6338 is 40138554.
LCM(6333,6338) = 40138554
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 6333 and 6338. First we will calculate the prime factors of 6333 and 6338.
Prime Factorization of 6333
3 | 6333 |
2111 | 2111 |
1 |
Prime factors of 6333 are 3,2111. Prime factorization of 6333 in exponential form is:
6333 = 31×21111
Prime Factorization of 6338
2 | 6338 |
3169 | 3169 |
1 |
Prime factors of 6338 are 2,3169. Prime factorization of 6338 in exponential form is:
6338 = 21×31691
Now multiplying the highest exponent prime factors to calculate the LCM of 6333 and 6338.
LCM(6333,6338) = 21×31×21111×31691
LCM(6333,6338) = 40138554
Factors of 6333
List of positive integer factors of 6333 that divides 6333 without a remainder.
1, 3, 2111, 6333
Factors of 6338
List of positive integer factors of 6338 that divides 6338 without a remainder.
1, 2, 3169, 6338
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6333 and 6338, than apply into the LCM equation.
GCF(6333,6338) = 1
LCM(6333,6338) = ( 6333 × 6338) / 1
LCM(6333,6338) = 40138554 / 1
LCM(6333,6338) = 40138554
(i) The LCM of 6338 and 6333 is associative
LCM of 6333 and 6338 = LCM of 6338 and 6333
1. What is the LCM of 6333 and 6338?
Answer: LCM of 6333 and 6338 is 40138554.
2. What are the Factors of 6333?
Answer: Factors of 6333 are 1, 3, 2111, 6333. There are 4 integers that are factors of 6333. The greatest factor of 6333 is 6333.
3. What are the Factors of 6338?
Answer: Factors of 6338 are 1, 2, 3169, 6338. There are 4 integers that are factors of 6338. The greatest factor of 6338 is 6338.
4. How to Find the LCM of 6333 and 6338?
Answer:
Least Common Multiple of 6333 and 6338 = 40138554
Step 1: Find the prime factorization of 6333
6333 = 3 x 2111
Step 2: Find the prime factorization of 6338
6338 = 2 x 3169
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 40138554 = 2 x 3 x 2111 x 3169
Step 4: Therefore, the least common multiple of 6333 and 6338 is 40138554.