Least Common Multiple of 3300 and 3306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3300 and 3306 the smallest integer that is 1818300 that is divisible by both numbers.

Least Common Multiple (LCM) of 3300 and 3306 is 1818300.

LCM(3300,3306) = 1818300

LCM of 3300 and 3306

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

LCM of:
and

Least Common Multiple of 3300 and 3306

LCM of 3300 and 3306 is 1818300

Least common multiple can be found by multiplying the highest exponent prime factors of 3300 and 3306. First we will calculate the prime factors of 3300 and 3306.

Prime Factorization of 3300


2 3300
2 1650
3 825
5 275
5 55
11 11
1

Prime factors of 3300 are 2, 3, 5,11. Prime factorization of 3300 in exponential form is:

3300 = 22×31×52×111

Prime Factorization of 3306


2 3306
3 1653
19 551
29 29
1

Prime factors of 3306 are 2, 3, 19,29. Prime factorization of 3306 in exponential form is:

3306 = 21×31×191×291

Now multiplying the highest exponent prime factors to calculate the LCM of 3300 and 3306.

LCM(3300,3306) = 22×31×52×111×191×291
LCM(3300,3306) = 1818300

Factors of 3300

List of positive integer factors of 3300 that divides 3300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 25, 30, 33, 44, 50, 55, 60, 66, 75, 100, 110, 132, 150, 165, 220, 275, 300, 330, 550, 660, 825, 1100, 1650, 3300

Factors of 3306

List of positive integer factors of 3306 that divides 3306 without a remainder.

1, 2, 3, 6, 19, 29, 38, 57, 58, 87, 114, 174, 551, 1102, 1653, 3306

Least Common Multiple of 3300 and 3306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3300 and 3306, than apply into the LCM equation.

GCF(3300,3306) = 6
LCM(3300,3306) = ( 3300 × 3306) / 6
LCM(3300,3306) = 10909800 / 6
LCM(3300,3306) = 1818300

Properties of LCM 3300 and 3306

(i) The LCM of 3306 and 3300 is associative

LCM of 3300 and 3306 = LCM of 3306 and 3300

Related Least Common Multiples of 3300

Related Least Common Multiples of 3306

Frequently Asked Questions on LCM of 3300 and 3306

1. What is the LCM of 3300 and 3306?

Answer: LCM of 3300 and 3306 is 1818300.

2. What are the Factors of 3300?

Answer: Factors of 3300 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 25, 30, 33, 44, 50, 55, 60, 66, 75, 100, 110, 132, 150, 165, 220, 275, 300, 330, 550, 660, 825, 1100, 1650, 3300. There are 36 integers that are factors of 3300. The greatest factor of 3300 is 3300.

3. What are the Factors of 3306?

Answer: Factors of 3306 are 1, 2, 3, 6, 19, 29, 38, 57, 58, 87, 114, 174, 551, 1102, 1653, 3306. There are 16 integers that are factors of 3306. The greatest factor of 3306 is 3306.

4. How to Find the LCM of 3300 and 3306?

Answer:

Least Common Multiple of 3300 and 3306 = 1818300

Step 1: Find the prime factorization of 3300

3300 = 2 x 2 x 3 x 5 x 5 x 11

Step 2: Find the prime factorization of 3306

3306 = 2 x 3 x 19 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 = 1818300 = 2 x 2 x 3 x 5 x 5 x 11 x 19 x 29

Step 4: Therefore, the least common multiple of 3300 and 3306 is 1818300.