Least Common Multiple of 330 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 330 and 338 the smallest integer that is 55770 that is divisible by both numbers.

Least Common Multiple (LCM) of 330 and 338 is 55770.

LCM(330,338) = 55770

LCM of 330 and 338

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

LCM of:
and

Least Common Multiple of 330 and 338

LCM of 330 and 338 is 55770

Least common multiple can be found by multiplying the highest exponent prime factors of 330 and 338. First we will calculate the prime factors of 330 and 338.

Prime Factorization of 330


2 330
3 165
5 55
11 11
1

Prime factors of 330 are 2, 3, 5,11. Prime factorization of 330 in exponential form is:

330 = 21×31×51×111

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 330 and 338.

LCM(330,338) = 21×31×51×111×132
LCM(330,338) = 55770

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

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 330 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 330 and 338, than apply into the LCM equation.

GCF(330,338) = 2
LCM(330,338) = ( 330 × 338) / 2
LCM(330,338) = 111540 / 2
LCM(330,338) = 55770

Properties of LCM 330 and 338

(i) The LCM of 338 and 330 is associative

LCM of 330 and 338 = LCM of 338 and 330

Related Least Common Multiples of 330

Related Least Common Multiples of 338

Frequently Asked Questions on LCM of 330 and 338

1. What is the LCM of 330 and 338?

Answer: LCM of 330 and 338 is 55770.

2. What are the Factors of 330?

Answer: Factors of 330 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330. There are 16 integers that are factors of 330. The greatest factor of 330 is 330.

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 330 and 338?

Answer:

Least Common Multiple of 330 and 338 = 55770

Step 1: Find the prime factorization of 330

330 = 2 x 3 x 5 x 11

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 = 55770 = 2 x 3 x 5 x 11 x 13 x 13

Step 4: Therefore, the least common multiple of 330 and 338 is 55770.