Least Common Multiple of 330 and 331

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 331 the smallest integer that is 109230 that is divisible by both numbers.

Least Common Multiple (LCM) of 330 and 331 is 109230.

LCM(330,331) = 109230

LCM of 330 and 331

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

LCM of:
and

Least Common Multiple of 330 and 331

LCM of 330 and 331 is 109230

Least common multiple can be found by multiplying the highest exponent prime factors of 330 and 331. First we will calculate the prime factors of 330 and 331.

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 331


331 331
1

Prime factors of 331 are 331. Prime factorization of 331 in exponential form is:

331 = 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 330 and 331.

LCM(330,331) = 21×31×51×111×3311
LCM(330,331) = 109230

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 331

List of positive integer factors of 331 that divides 331 without a remainder.

1, 331

Least Common Multiple of 330 and 331 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 331, than apply into the LCM equation.

GCF(330,331) = 1
LCM(330,331) = ( 330 × 331) / 1
LCM(330,331) = 109230 / 1
LCM(330,331) = 109230

Properties of LCM 330 and 331

(i) The LCM of 331 and 330 is associative

LCM of 330 and 331 = LCM of 331 and 330

Related Least Common Multiples of 330

Related Least Common Multiples of 331

Frequently Asked Questions on LCM of 330 and 331

1. What is the LCM of 330 and 331?

Answer: LCM of 330 and 331 is 109230.

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 331?

Answer: Factors of 331 are 1, 331. There are 2 integers that are factors of 331. The greatest factor of 331 is 331.

4. How to Find the LCM of 330 and 331?

Answer:

Least Common Multiple of 330 and 331 = 109230

Step 1: Find the prime factorization of 330

330 = 2 x 3 x 5 x 11

Step 2: Find the prime factorization of 331

331 = 331

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

LCM = 109230 = 2 x 3 x 5 x 11 x 331

Step 4: Therefore, the least common multiple of 330 and 331 is 109230.