Least Common Multiple of 6333 and 6337

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 6337 the smallest integer that is 40132221 that is divisible by both numbers.

Least Common Multiple (LCM) of 6333 and 6337 is 40132221.

LCM(6333,6337) = 40132221

LCM of 6333 and 6337

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

LCM of:
and

Least Common Multiple of 6333 and 6337

LCM of 6333 and 6337 is 40132221

Least common multiple can be found by multiplying the highest exponent prime factors of 6333 and 6337. First we will calculate the prime factors of 6333 and 6337.

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 6337


6337 6337
1

Prime factors of 6337 are 6337. Prime factorization of 6337 in exponential form is:

6337 = 63371

Now multiplying the highest exponent prime factors to calculate the LCM of 6333 and 6337.

LCM(6333,6337) = 31×21111×63371
LCM(6333,6337) = 40132221

Factors of 6333

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

1, 3, 2111, 6333

Factors of 6337

List of positive integer factors of 6337 that divides 6337 without a remainder.

1, 6337

Least Common Multiple of 6333 and 6337 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 6337, than apply into the LCM equation.

GCF(6333,6337) = 1
LCM(6333,6337) = ( 6333 × 6337) / 1
LCM(6333,6337) = 40132221 / 1
LCM(6333,6337) = 40132221

Properties of LCM 6333 and 6337

(i) The LCM of 6337 and 6333 is associative

LCM of 6333 and 6337 = LCM of 6337 and 6333

Related Least Common Multiples of 6333

Related Least Common Multiples of 6337

Frequently Asked Questions on LCM of 6333 and 6337

1. What is the LCM of 6333 and 6337?

Answer: LCM of 6333 and 6337 is 40132221.

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 6337?

Answer: Factors of 6337 are 1, 6337. There are 2 integers that are factors of 6337. The greatest factor of 6337 is 6337.

4. How to Find the LCM of 6333 and 6337?

Answer:

Least Common Multiple of 6333 and 6337 = 40132221

Step 1: Find the prime factorization of 6333

6333 = 3 x 2111

Step 2: Find the prime factorization of 6337

6337 = 6337

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

LCM = 40132221 = 3 x 2111 x 6337

Step 4: Therefore, the least common multiple of 6333 and 6337 is 40132221.