Least Common Multiple of 3300 and 3305

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 3305 the smallest integer that is 2181300 that is divisible by both numbers.

Least Common Multiple (LCM) of 3300 and 3305 is 2181300.

LCM(3300,3305) = 2181300

LCM of 3300 and 3305

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

LCM of:
and

Least Common Multiple of 3300 and 3305

LCM of 3300 and 3305 is 2181300

Least common multiple can be found by multiplying the highest exponent prime factors of 3300 and 3305. First we will calculate the prime factors of 3300 and 3305.

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 3305


5 3305
661 661
1

Prime factors of 3305 are 5,661. Prime factorization of 3305 in exponential form is:

3305 = 51×6611

Now multiplying the highest exponent prime factors to calculate the LCM of 3300 and 3305.

LCM(3300,3305) = 22×31×52×111×6611
LCM(3300,3305) = 2181300

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 3305

List of positive integer factors of 3305 that divides 3305 without a remainder.

1, 5, 661, 3305

Least Common Multiple of 3300 and 3305 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 3305, than apply into the LCM equation.

GCF(3300,3305) = 5
LCM(3300,3305) = ( 3300 × 3305) / 5
LCM(3300,3305) = 10906500 / 5
LCM(3300,3305) = 2181300

Properties of LCM 3300 and 3305

(i) The LCM of 3305 and 3300 is associative

LCM of 3300 and 3305 = LCM of 3305 and 3300

Related Least Common Multiples of 3300

Related Least Common Multiples of 3305

Frequently Asked Questions on LCM of 3300 and 3305

1. What is the LCM of 3300 and 3305?

Answer: LCM of 3300 and 3305 is 2181300.

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 3305?

Answer: Factors of 3305 are 1, 5, 661, 3305. There are 4 integers that are factors of 3305. The greatest factor of 3305 is 3305.

4. How to Find the LCM of 3300 and 3305?

Answer:

Least Common Multiple of 3300 and 3305 = 2181300

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 3305

3305 = 5 x 661

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

LCM = 2181300 = 2 x 2 x 3 x 5 x 5 x 11 x 661

Step 4: Therefore, the least common multiple of 3300 and 3305 is 2181300.