Least Common Multiple of 333 and 340

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 340 the smallest integer that is 113220 that is divisible by both numbers.

Least Common Multiple (LCM) of 333 and 340 is 113220.

LCM(333,340) = 113220

LCM of 333 and 340

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

LCM of:
and

Least Common Multiple of 333 and 340

LCM of 333 and 340 is 113220

Least common multiple can be found by multiplying the highest exponent prime factors of 333 and 340. First we will calculate the prime factors of 333 and 340.

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 340


2 340
2 170
5 85
17 17
1

Prime factors of 340 are 2, 5,17. Prime factorization of 340 in exponential form is:

340 = 22×51×171

Now multiplying the highest exponent prime factors to calculate the LCM of 333 and 340.

LCM(333,340) = 22×32×51×171×371
LCM(333,340) = 113220

Factors of 333

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

1, 3, 9, 37, 111, 333

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Least Common Multiple of 333 and 340 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 340, than apply into the LCM equation.

GCF(333,340) = 1
LCM(333,340) = ( 333 × 340) / 1
LCM(333,340) = 113220 / 1
LCM(333,340) = 113220

Properties of LCM 333 and 340

(i) The LCM of 340 and 333 is associative

LCM of 333 and 340 = LCM of 340 and 333

Related Least Common Multiples of 333

Related Least Common Multiples of 340

Frequently Asked Questions on LCM of 333 and 340

1. What is the LCM of 333 and 340?

Answer: LCM of 333 and 340 is 113220.

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 340?

Answer: Factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340. There are 12 integers that are factors of 340. The greatest factor of 340 is 340.

4. How to Find the LCM of 333 and 340?

Answer:

Least Common Multiple of 333 and 340 = 113220

Step 1: Find the prime factorization of 333

333 = 3 x 3 x 37

Step 2: Find the prime factorization of 340

340 = 2 x 2 x 5 x 17

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

LCM = 113220 = 2 x 2 x 3 x 3 x 5 x 17 x 37

Step 4: Therefore, the least common multiple of 333 and 340 is 113220.