Least Common Multiple of 330 and 335

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 335 the smallest integer that is 22110 that is divisible by both numbers.

Least Common Multiple (LCM) of 330 and 335 is 22110.

LCM(330,335) = 22110

LCM of 330 and 335

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

LCM of:
and

Least Common Multiple of 330 and 335

LCM of 330 and 335 is 22110

Least common multiple can be found by multiplying the highest exponent prime factors of 330 and 335. First we will calculate the prime factors of 330 and 335.

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 335


5 335
67 67
1

Prime factors of 335 are 5,67. Prime factorization of 335 in exponential form is:

335 = 51×671

Now multiplying the highest exponent prime factors to calculate the LCM of 330 and 335.

LCM(330,335) = 21×31×51×111×671
LCM(330,335) = 22110

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 335

List of positive integer factors of 335 that divides 335 without a remainder.

1, 5, 67, 335

Least Common Multiple of 330 and 335 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 335, than apply into the LCM equation.

GCF(330,335) = 5
LCM(330,335) = ( 330 × 335) / 5
LCM(330,335) = 110550 / 5
LCM(330,335) = 22110

Properties of LCM 330 and 335

(i) The LCM of 335 and 330 is associative

LCM of 330 and 335 = LCM of 335 and 330

Related Least Common Multiples of 330

Related Least Common Multiples of 335

Frequently Asked Questions on LCM of 330 and 335

1. What is the LCM of 330 and 335?

Answer: LCM of 330 and 335 is 22110.

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 335?

Answer: Factors of 335 are 1, 5, 67, 335. There are 4 integers that are factors of 335. The greatest factor of 335 is 335.

4. How to Find the LCM of 330 and 335?

Answer:

Least Common Multiple of 330 and 335 = 22110

Step 1: Find the prime factorization of 330

330 = 2 x 3 x 5 x 11

Step 2: Find the prime factorization of 335

335 = 5 x 67

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

LCM = 22110 = 2 x 3 x 5 x 11 x 67

Step 4: Therefore, the least common multiple of 330 and 335 is 22110.