Least Common Multiple of 333 and 339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 333 and 339 the smallest integer that is 37629 that is divisible by both numbers.

Least Common Multiple (LCM) of 333 and 339 is 37629.

LCM(333,339) = 37629

LCM of 333 and 339

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

LCM of:
and

Least Common Multiple of 333 and 339

LCM of 333 and 339 is 37629

Least common multiple can be found by multiplying the highest exponent prime factors of 333 and 339. First we will calculate the prime factors of 333 and 339.

Prime Factorization of 333


3 333
3 111
37 37
1

Prime factors of 333 are 3,37. Prime factorization of 333 in exponential form is:

333 = 32×371

Prime Factorization of 339


3 339
113 113
1

Prime factors of 339 are 3,113. Prime factorization of 339 in exponential form is:

339 = 31×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 333 and 339.

LCM(333,339) = 32×371×1131
LCM(333,339) = 37629

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1, 3, 9, 37, 111, 333

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Least Common Multiple of 333 and 339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 333 and 339, than apply into the LCM equation.

GCF(333,339) = 3
LCM(333,339) = ( 333 × 339) / 3
LCM(333,339) = 112887 / 3
LCM(333,339) = 37629

Properties of LCM 333 and 339

(i) The LCM of 339 and 333 is associative

LCM of 333 and 339 = LCM of 339 and 333

Related Least Common Multiples of 333

Related Least Common Multiples of 339

Frequently Asked Questions on LCM of 333 and 339

1. What is the LCM of 333 and 339?

Answer: LCM of 333 and 339 is 37629.

2. What are the Factors of 333?

Answer: Factors of 333 are 1, 3, 9, 37, 111, 333. There are 6 integers that are factors of 333. The greatest factor of 333 is 333.

3. What are the Factors of 339?

Answer: Factors of 339 are 1, 3, 113, 339. There are 4 integers that are factors of 339. The greatest factor of 339 is 339.

4. How to Find the LCM of 333 and 339?

Answer:

Least Common Multiple of 333 and 339 = 37629

Step 1: Find the prime factorization of 333

333 = 3 x 3 x 37

Step 2: Find the prime factorization of 339

339 = 3 x 113

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

LCM = 37629 = 3 x 3 x 37 x 113

Step 4: Therefore, the least common multiple of 333 and 339 is 37629.