Least Common Multiple of 6333 and 6339

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 6339 the smallest integer that is 13381629 that is divisible by both numbers.

Least Common Multiple (LCM) of 6333 and 6339 is 13381629.

LCM(6333,6339) = 13381629

LCM of 6333 and 6339

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 6333 and 6339

LCM of 6333 and 6339 is 13381629

Least common multiple can be found by multiplying the highest exponent prime factors of 6333 and 6339. First we will calculate the prime factors of 6333 and 6339.

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 6339


3 6339
2113 2113
1

Prime factors of 6339 are 3,2113. Prime factorization of 6339 in exponential form is:

6339 = 31×21131

Now multiplying the highest exponent prime factors to calculate the LCM of 6333 and 6339.

LCM(6333,6339) = 31×21111×21131
LCM(6333,6339) = 13381629

Factors of 6333

List of positive integer factors of 6333 that divides 6333 without a remainder.

1, 3, 2111, 6333

Factors of 6339

List of positive integer factors of 6339 that divides 6339 without a remainder.

1, 3, 2113, 6339

Least Common Multiple of 6333 and 6339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6333 and 6339, than apply into the LCM equation.

GCF(6333,6339) = 3
LCM(6333,6339) = ( 6333 × 6339) / 3
LCM(6333,6339) = 40144887 / 3
LCM(6333,6339) = 13381629

Properties of LCM 6333 and 6339

(i) The LCM of 6339 and 6333 is associative

LCM of 6333 and 6339 = LCM of 6339 and 6333

Related Least Common Multiples of 6333

Related Least Common Multiples of 6339

Frequently Asked Questions on LCM of 6333 and 6339

1. What is the LCM of 6333 and 6339?

Answer: LCM of 6333 and 6339 is 13381629.

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 6339?

Answer: Factors of 6339 are 1, 3, 2113, 6339. There are 4 integers that are factors of 6339. The greatest factor of 6339 is 6339.

4. How to Find the LCM of 6333 and 6339?

Answer:

Least Common Multiple of 6333 and 6339 = 13381629

Step 1: Find the prime factorization of 6333

6333 = 3 x 2111

Step 2: Find the prime factorization of 6339

6339 = 3 x 2113

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 13381629 = 3 x 2111 x 2113

Step 4: Therefore, the least common multiple of 6333 and 6339 is 13381629.