Least Common Multiple of 3300 and 3301

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 3301 the smallest integer that is 10893300 that is divisible by both numbers.

Least Common Multiple (LCM) of 3300 and 3301 is 10893300.

LCM(3300,3301) = 10893300

LCM of 3300 and 3301

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

LCM of:
and

Least Common Multiple of 3300 and 3301

LCM of 3300 and 3301 is 10893300

Least common multiple can be found by multiplying the highest exponent prime factors of 3300 and 3301. First we will calculate the prime factors of 3300 and 3301.

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 3301


3301 3301
1

Prime factors of 3301 are 3301. Prime factorization of 3301 in exponential form is:

3301 = 33011

Now multiplying the highest exponent prime factors to calculate the LCM of 3300 and 3301.

LCM(3300,3301) = 22×31×52×111×33011
LCM(3300,3301) = 10893300

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 3301

List of positive integer factors of 3301 that divides 3301 without a remainder.

1, 3301

Least Common Multiple of 3300 and 3301 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 3301, than apply into the LCM equation.

GCF(3300,3301) = 1
LCM(3300,3301) = ( 3300 × 3301) / 1
LCM(3300,3301) = 10893300 / 1
LCM(3300,3301) = 10893300

Properties of LCM 3300 and 3301

(i) The LCM of 3301 and 3300 is associative

LCM of 3300 and 3301 = LCM of 3301 and 3300

Related Least Common Multiples of 3300

Related Least Common Multiples of 3301

Frequently Asked Questions on LCM of 3300 and 3301

1. What is the LCM of 3300 and 3301?

Answer: LCM of 3300 and 3301 is 10893300.

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 3301?

Answer: Factors of 3301 are 1, 3301. There are 2 integers that are factors of 3301. The greatest factor of 3301 is 3301.

4. How to Find the LCM of 3300 and 3301?

Answer:

Least Common Multiple of 3300 and 3301 = 10893300

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 3301

3301 = 3301

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

LCM = 10893300 = 2 x 2 x 3 x 5 x 5 x 11 x 3301

Step 4: Therefore, the least common multiple of 3300 and 3301 is 10893300.