Least Common Multiple of 3300 and 3303

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 3303 the smallest integer that is 3633300 that is divisible by both numbers.

Least Common Multiple (LCM) of 3300 and 3303 is 3633300.

LCM(3300,3303) = 3633300

LCM of 3300 and 3303

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

LCM of:
and

Least Common Multiple of 3300 and 3303

LCM of 3300 and 3303 is 3633300

Least common multiple can be found by multiplying the highest exponent prime factors of 3300 and 3303. First we will calculate the prime factors of 3300 and 3303.

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 3303


3 3303
3 1101
367 367
1

Prime factors of 3303 are 3,367. Prime factorization of 3303 in exponential form is:

3303 = 32×3671

Now multiplying the highest exponent prime factors to calculate the LCM of 3300 and 3303.

LCM(3300,3303) = 22×32×52×111×3671
LCM(3300,3303) = 3633300

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 3303

List of positive integer factors of 3303 that divides 3303 without a remainder.

1, 3, 9, 367, 1101, 3303

Least Common Multiple of 3300 and 3303 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 3303, than apply into the LCM equation.

GCF(3300,3303) = 3
LCM(3300,3303) = ( 3300 × 3303) / 3
LCM(3300,3303) = 10899900 / 3
LCM(3300,3303) = 3633300

Properties of LCM 3300 and 3303

(i) The LCM of 3303 and 3300 is associative

LCM of 3300 and 3303 = LCM of 3303 and 3300

Related Least Common Multiples of 3300

Related Least Common Multiples of 3303

Frequently Asked Questions on LCM of 3300 and 3303

1. What is the LCM of 3300 and 3303?

Answer: LCM of 3300 and 3303 is 3633300.

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 3303?

Answer: Factors of 3303 are 1, 3, 9, 367, 1101, 3303. There are 6 integers that are factors of 3303. The greatest factor of 3303 is 3303.

4. How to Find the LCM of 3300 and 3303?

Answer:

Least Common Multiple of 3300 and 3303 = 3633300

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 3303

3303 = 3 x 3 x 367

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

LCM = 3633300 = 2 x 2 x 3 x 3 x 5 x 5 x 11 x 367

Step 4: Therefore, the least common multiple of 3300 and 3303 is 3633300.