Least Common Multiple of 333 and 335

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 335 the smallest integer that is 111555 that is divisible by both numbers.

Least Common Multiple (LCM) of 333 and 335 is 111555.

LCM(333,335) = 111555

LCM of 333 and 335

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

LCM of:
and

Least Common Multiple of 333 and 335

LCM of 333 and 335 is 111555

Least common multiple can be found by multiplying the highest exponent prime factors of 333 and 335. First we will calculate the prime factors of 333 and 335.

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 335


5 335
67 67
1

Prime factors of 335 are 5,67. Prime factorization of 335 in exponential form is:

335 = 51×671

Now multiplying the highest exponent prime factors to calculate the LCM of 333 and 335.

LCM(333,335) = 32×51×371×671
LCM(333,335) = 111555

Factors of 333

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

1, 3, 9, 37, 111, 333

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1, 5, 67, 335

Least Common Multiple of 333 and 335 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 335, than apply into the LCM equation.

GCF(333,335) = 1
LCM(333,335) = ( 333 × 335) / 1
LCM(333,335) = 111555 / 1
LCM(333,335) = 111555

Properties of LCM 333 and 335

(i) The LCM of 335 and 333 is associative

LCM of 333 and 335 = LCM of 335 and 333

Related Least Common Multiples of 333

Related Least Common Multiples of 335

Frequently Asked Questions on LCM of 333 and 335

1. What is the LCM of 333 and 335?

Answer: LCM of 333 and 335 is 111555.

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 335?

Answer: Factors of 335 are 1, 5, 67, 335. There are 4 integers that are factors of 335. The greatest factor of 335 is 335.

4. How to Find the LCM of 333 and 335?

Answer:

Least Common Multiple of 333 and 335 = 111555

Step 1: Find the prime factorization of 333

333 = 3 x 3 x 37

Step 2: Find the prime factorization of 335

335 = 5 x 67

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

LCM = 111555 = 3 x 3 x 5 x 37 x 67

Step 4: Therefore, the least common multiple of 333 and 335 is 111555.