Least Common Multiple of 3330 and 3335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3330 and 3335 the smallest integer that is 2221110 that is divisible by both numbers.

Least Common Multiple (LCM) of 3330 and 3335 is 2221110.

LCM(3330,3335) = 2221110

LCM of 3330 and 3335

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

LCM of:
and

Least Common Multiple of 3330 and 3335

LCM of 3330 and 3335 is 2221110

Least common multiple can be found by multiplying the highest exponent prime factors of 3330 and 3335. First we will calculate the prime factors of 3330 and 3335.

Prime Factorization of 3330


2 3330
3 1665
3 555
5 185
37 37
1

Prime factors of 3330 are 2, 3, 5,37. Prime factorization of 3330 in exponential form is:

3330 = 21×32×51×371

Prime Factorization of 3335


5 3335
23 667
29 29
1

Prime factors of 3335 are 5, 23,29. Prime factorization of 3335 in exponential form is:

3335 = 51×231×291

Now multiplying the highest exponent prime factors to calculate the LCM of 3330 and 3335.

LCM(3330,3335) = 21×32×51×231×291×371
LCM(3330,3335) = 2221110

Factors of 3330

List of positive integer factors of 3330 that divides 3330 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 37, 45, 74, 90, 111, 185, 222, 333, 370, 555, 666, 1110, 1665, 3330

Factors of 3335

List of positive integer factors of 3335 that divides 3335 without a remainder.

1, 5, 23, 29, 115, 145, 667, 3335

Least Common Multiple of 3330 and 3335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3330 and 3335, than apply into the LCM equation.

GCF(3330,3335) = 5
LCM(3330,3335) = ( 3330 × 3335) / 5
LCM(3330,3335) = 11105550 / 5
LCM(3330,3335) = 2221110

Properties of LCM 3330 and 3335

(i) The LCM of 3335 and 3330 is associative

LCM of 3330 and 3335 = LCM of 3335 and 3330

Related Least Common Multiples of 3330

Related Least Common Multiples of 3335

Frequently Asked Questions on LCM of 3330 and 3335

1. What is the LCM of 3330 and 3335?

Answer: LCM of 3330 and 3335 is 2221110.

2. What are the Factors of 3330?

Answer: Factors of 3330 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 37, 45, 74, 90, 111, 185, 222, 333, 370, 555, 666, 1110, 1665, 3330. There are 24 integers that are factors of 3330. The greatest factor of 3330 is 3330.

3. What are the Factors of 3335?

Answer: Factors of 3335 are 1, 5, 23, 29, 115, 145, 667, 3335. There are 8 integers that are factors of 3335. The greatest factor of 3335 is 3335.

4. How to Find the LCM of 3330 and 3335?

Answer:

Least Common Multiple of 3330 and 3335 = 2221110

Step 1: Find the prime factorization of 3330

3330 = 2 x 3 x 3 x 5 x 37

Step 2: Find the prime factorization of 3335

3335 = 5 x 23 x 29

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

LCM = 2221110 = 2 x 3 x 3 x 5 x 23 x 29 x 37

Step 4: Therefore, the least common multiple of 3330 and 3335 is 2221110.