Least Common Multiple of 330 and 336

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 336 the smallest integer that is 18480 that is divisible by both numbers.

Least Common Multiple (LCM) of 330 and 336 is 18480.

LCM(330,336) = 18480

LCM of 330 and 336

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

LCM of:
and

Least Common Multiple of 330 and 336

LCM of 330 and 336 is 18480

Least common multiple can be found by multiplying the highest exponent prime factors of 330 and 336. First we will calculate the prime factors of 330 and 336.

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 336


2 336
2 168
2 84
2 42
3 21
7 7
1

Prime factors of 336 are 2, 3,7. Prime factorization of 336 in exponential form is:

336 = 24×31×71

Now multiplying the highest exponent prime factors to calculate the LCM of 330 and 336.

LCM(330,336) = 24×31×51×71×111
LCM(330,336) = 18480

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 336

List of positive integer factors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Least Common Multiple of 330 and 336 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 336, than apply into the LCM equation.

GCF(330,336) = 6
LCM(330,336) = ( 330 × 336) / 6
LCM(330,336) = 110880 / 6
LCM(330,336) = 18480

Properties of LCM 330 and 336

(i) The LCM of 336 and 330 is associative

LCM of 330 and 336 = LCM of 336 and 330

Related Least Common Multiples of 330

Related Least Common Multiples of 336

Frequently Asked Questions on LCM of 330 and 336

1. What is the LCM of 330 and 336?

Answer: LCM of 330 and 336 is 18480.

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 336?

Answer: Factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336. There are 20 integers that are factors of 336. The greatest factor of 336 is 336.

4. How to Find the LCM of 330 and 336?

Answer:

Least Common Multiple of 330 and 336 = 18480

Step 1: Find the prime factorization of 330

330 = 2 x 3 x 5 x 11

Step 2: Find the prime factorization of 336

336 = 2 x 2 x 2 x 2 x 3 x 7

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

LCM = 18480 = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 11

Step 4: Therefore, the least common multiple of 330 and 336 is 18480.