Least Common Multiple of 333 and 336

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 336 the smallest integer that is 37296 that is divisible by both numbers.

Least Common Multiple (LCM) of 333 and 336 is 37296.

LCM(333,336) = 37296

LCM of 333 and 336

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

LCM of:
and

Least Common Multiple of 333 and 336

LCM of 333 and 336 is 37296

Least common multiple can be found by multiplying the highest exponent prime factors of 333 and 336. First we will calculate the prime factors of 333 and 336.

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 336


2 336
2 168
2 84
2 42
3 21
7 7
1

Prime factors of 336 are 2, 3,7. Prime factorization of 336 in exponential form is:

336 = 24×31×71

Now multiplying the highest exponent prime factors to calculate the LCM of 333 and 336.

LCM(333,336) = 24×32×71×371
LCM(333,336) = 37296

Factors of 333

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

1, 3, 9, 37, 111, 333

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Least Common Multiple of 333 and 336 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 336, than apply into the LCM equation.

GCF(333,336) = 3
LCM(333,336) = ( 333 × 336) / 3
LCM(333,336) = 111888 / 3
LCM(333,336) = 37296

Properties of LCM 333 and 336

(i) The LCM of 336 and 333 is associative

LCM of 333 and 336 = LCM of 336 and 333

Related Least Common Multiples of 333

Related Least Common Multiples of 336

Frequently Asked Questions on LCM of 333 and 336

1. What is the LCM of 333 and 336?

Answer: LCM of 333 and 336 is 37296.

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 336?

Answer: Factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336. There are 20 integers that are factors of 336. The greatest factor of 336 is 336.

4. How to Find the LCM of 333 and 336?

Answer:

Least Common Multiple of 333 and 336 = 37296

Step 1: Find the prime factorization of 333

333 = 3 x 3 x 37

Step 2: Find the prime factorization of 336

336 = 2 x 2 x 2 x 2 x 3 x 7

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

LCM = 37296 = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 37

Step 4: Therefore, the least common multiple of 333 and 336 is 37296.