Least Common Multiple of 333 and 338

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 338 the smallest integer that is 112554 that is divisible by both numbers.

Least Common Multiple (LCM) of 333 and 338 is 112554.

LCM(333,338) = 112554

LCM of 333 and 338

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

LCM of:
and

Least Common Multiple of 333 and 338

LCM of 333 and 338 is 112554

Least common multiple can be found by multiplying the highest exponent prime factors of 333 and 338. First we will calculate the prime factors of 333 and 338.

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 338


2 338
13 169
13 13
1

Prime factors of 338 are 2,13. Prime factorization of 338 in exponential form is:

338 = 21×132

Now multiplying the highest exponent prime factors to calculate the LCM of 333 and 338.

LCM(333,338) = 21×32×132×371
LCM(333,338) = 112554

Factors of 333

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

1, 3, 9, 37, 111, 333

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Least Common Multiple of 333 and 338 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 338, than apply into the LCM equation.

GCF(333,338) = 1
LCM(333,338) = ( 333 × 338) / 1
LCM(333,338) = 112554 / 1
LCM(333,338) = 112554

Properties of LCM 333 and 338

(i) The LCM of 338 and 333 is associative

LCM of 333 and 338 = LCM of 338 and 333

Related Least Common Multiples of 333

Related Least Common Multiples of 338

Frequently Asked Questions on LCM of 333 and 338

1. What is the LCM of 333 and 338?

Answer: LCM of 333 and 338 is 112554.

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 338?

Answer: Factors of 338 are 1, 2, 13, 26, 169, 338. There are 6 integers that are factors of 338. The greatest factor of 338 is 338.

4. How to Find the LCM of 333 and 338?

Answer:

Least Common Multiple of 333 and 338 = 112554

Step 1: Find the prime factorization of 333

333 = 3 x 3 x 37

Step 2: Find the prime factorization of 338

338 = 2 x 13 x 13

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

LCM = 112554 = 2 x 3 x 3 x 13 x 13 x 37

Step 4: Therefore, the least common multiple of 333 and 338 is 112554.