Least Common Multiple of 329 and 333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 329 and 333 the smallest integer that is 109557 that is divisible by both numbers.

Least Common Multiple (LCM) of 329 and 333 is 109557.

LCM(329,333) = 109557

LCM of 329 and 333

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

LCM of:
and

Least Common Multiple of 329 and 333

LCM of 329 and 333 is 109557

Least common multiple can be found by multiplying the highest exponent prime factors of 329 and 333. First we will calculate the prime factors of 329 and 333.

Prime Factorization of 329


7 329
47 47
1

Prime factors of 329 are 7,47. Prime factorization of 329 in exponential form is:

329 = 71×471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 329 and 333.

LCM(329,333) = 32×71×371×471
LCM(329,333) = 109557

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Factors of 333

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

1, 3, 9, 37, 111, 333

Least Common Multiple of 329 and 333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 329 and 333, than apply into the LCM equation.

GCF(329,333) = 1
LCM(329,333) = ( 329 × 333) / 1
LCM(329,333) = 109557 / 1
LCM(329,333) = 109557

Properties of LCM 329 and 333

(i) The LCM of 333 and 329 is associative

LCM of 329 and 333 = LCM of 333 and 329

Related Least Common Multiples of 329

Related Least Common Multiples of 333

Frequently Asked Questions on LCM of 329 and 333

1. What is the LCM of 329 and 333?

Answer: LCM of 329 and 333 is 109557.

2. What are the Factors of 329?

Answer: Factors of 329 are 1, 7, 47, 329. There are 4 integers that are factors of 329. The greatest factor of 329 is 329.

3. 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.

4. How to Find the LCM of 329 and 333?

Answer:

Least Common Multiple of 329 and 333 = 109557

Step 1: Find the prime factorization of 329

329 = 7 x 47

Step 2: Find the prime factorization of 333

333 = 3 x 3 x 37

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

LCM = 109557 = 3 x 3 x 7 x 37 x 47

Step 4: Therefore, the least common multiple of 329 and 333 is 109557.