Least Common Multiple of 3300 and 3304

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 3304 the smallest integer that is 2725800 that is divisible by both numbers.

Least Common Multiple (LCM) of 3300 and 3304 is 2725800.

LCM(3300,3304) = 2725800

LCM of 3300 and 3304

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

LCM of:
and

Least Common Multiple of 3300 and 3304

LCM of 3300 and 3304 is 2725800

Least common multiple can be found by multiplying the highest exponent prime factors of 3300 and 3304. First we will calculate the prime factors of 3300 and 3304.

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 3304


2 3304
2 1652
2 826
7 413
59 59
1

Prime factors of 3304 are 2, 7,59. Prime factorization of 3304 in exponential form is:

3304 = 23×71×591

Now multiplying the highest exponent prime factors to calculate the LCM of 3300 and 3304.

LCM(3300,3304) = 23×31×52×71×111×591
LCM(3300,3304) = 2725800

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 3304

List of positive integer factors of 3304 that divides 3304 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 59, 118, 236, 413, 472, 826, 1652, 3304

Least Common Multiple of 3300 and 3304 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 3304, than apply into the LCM equation.

GCF(3300,3304) = 4
LCM(3300,3304) = ( 3300 × 3304) / 4
LCM(3300,3304) = 10903200 / 4
LCM(3300,3304) = 2725800

Properties of LCM 3300 and 3304

(i) The LCM of 3304 and 3300 is associative

LCM of 3300 and 3304 = LCM of 3304 and 3300

Related Least Common Multiples of 3300

Related Least Common Multiples of 3304

Frequently Asked Questions on LCM of 3300 and 3304

1. What is the LCM of 3300 and 3304?

Answer: LCM of 3300 and 3304 is 2725800.

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 3304?

Answer: Factors of 3304 are 1, 2, 4, 7, 8, 14, 28, 56, 59, 118, 236, 413, 472, 826, 1652, 3304. There are 16 integers that are factors of 3304. The greatest factor of 3304 is 3304.

4. How to Find the LCM of 3300 and 3304?

Answer:

Least Common Multiple of 3300 and 3304 = 2725800

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 3304

3304 = 2 x 2 x 2 x 7 x 59

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

LCM = 2725800 = 2 x 2 x 2 x 3 x 5 x 5 x 7 x 11 x 59

Step 4: Therefore, the least common multiple of 3300 and 3304 is 2725800.