Least Common Multiple of 3303 and 3309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3303 and 3309 the smallest integer that is 3643209 that is divisible by both numbers.

Least Common Multiple (LCM) of 3303 and 3309 is 3643209.

LCM(3303,3309) = 3643209

LCM of 3303 and 3309

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

LCM of:
and

Least Common Multiple of 3303 and 3309

LCM of 3303 and 3309 is 3643209

Least common multiple can be found by multiplying the highest exponent prime factors of 3303 and 3309. First we will calculate the prime factors of 3303 and 3309.

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

Prime Factorization of 3309


3 3309
1103 1103
1

Prime factors of 3309 are 3,1103. Prime factorization of 3309 in exponential form is:

3309 = 31×11031

Now multiplying the highest exponent prime factors to calculate the LCM of 3303 and 3309.

LCM(3303,3309) = 32×3671×11031
LCM(3303,3309) = 3643209

Factors of 3303

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

1, 3, 9, 367, 1101, 3303

Factors of 3309

List of positive integer factors of 3309 that divides 3309 without a remainder.

1, 3, 1103, 3309

Least Common Multiple of 3303 and 3309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3303 and 3309, than apply into the LCM equation.

GCF(3303,3309) = 3
LCM(3303,3309) = ( 3303 × 3309) / 3
LCM(3303,3309) = 10929627 / 3
LCM(3303,3309) = 3643209

Properties of LCM 3303 and 3309

(i) The LCM of 3309 and 3303 is associative

LCM of 3303 and 3309 = LCM of 3309 and 3303

Related Least Common Multiples of 3303

Related Least Common Multiples of 3309

Frequently Asked Questions on LCM of 3303 and 3309

1. What is the LCM of 3303 and 3309?

Answer: LCM of 3303 and 3309 is 3643209.

2. 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.

3. What are the Factors of 3309?

Answer: Factors of 3309 are 1, 3, 1103, 3309. There are 4 integers that are factors of 3309. The greatest factor of 3309 is 3309.

4. How to Find the LCM of 3303 and 3309?

Answer:

Least Common Multiple of 3303 and 3309 = 3643209

Step 1: Find the prime factorization of 3303

3303 = 3 x 3 x 367

Step 2: Find the prime factorization of 3309

3309 = 3 x 1103

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

LCM = 3643209 = 3 x 3 x 367 x 1103

Step 4: Therefore, the least common multiple of 3303 and 3309 is 3643209.