Least Common Multiple of 330 and 332

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 332 the smallest integer that is 54780 that is divisible by both numbers.

Least Common Multiple (LCM) of 330 and 332 is 54780.

LCM(330,332) = 54780

LCM of 330 and 332

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

LCM of:
and

Least Common Multiple of 330 and 332

LCM of 330 and 332 is 54780

Least common multiple can be found by multiplying the highest exponent prime factors of 330 and 332. First we will calculate the prime factors of 330 and 332.

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 332


2 332
2 166
83 83
1

Prime factors of 332 are 2,83. Prime factorization of 332 in exponential form is:

332 = 22×831

Now multiplying the highest exponent prime factors to calculate the LCM of 330 and 332.

LCM(330,332) = 22×31×51×111×831
LCM(330,332) = 54780

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 332

List of positive integer factors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Least Common Multiple of 330 and 332 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 332, than apply into the LCM equation.

GCF(330,332) = 2
LCM(330,332) = ( 330 × 332) / 2
LCM(330,332) = 109560 / 2
LCM(330,332) = 54780

Properties of LCM 330 and 332

(i) The LCM of 332 and 330 is associative

LCM of 330 and 332 = LCM of 332 and 330

Related Least Common Multiples of 330

Related Least Common Multiples of 332

Frequently Asked Questions on LCM of 330 and 332

1. What is the LCM of 330 and 332?

Answer: LCM of 330 and 332 is 54780.

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 332?

Answer: Factors of 332 are 1, 2, 4, 83, 166, 332. There are 6 integers that are factors of 332. The greatest factor of 332 is 332.

4. How to Find the LCM of 330 and 332?

Answer:

Least Common Multiple of 330 and 332 = 54780

Step 1: Find the prime factorization of 330

330 = 2 x 3 x 5 x 11

Step 2: Find the prime factorization of 332

332 = 2 x 2 x 83

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

LCM = 54780 = 2 x 2 x 3 x 5 x 11 x 83

Step 4: Therefore, the least common multiple of 330 and 332 is 54780.