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 3306 the smallest integer that is 3639906 that is divisible by both numbers.
Least Common Multiple (LCM) of 3303 and 3306 is 3639906.
LCM(3303,3306) = 3639906
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 3303 and 3306. First we will calculate the prime factors of 3303 and 3306.
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 3306
2 | 3306 |
3 | 1653 |
19 | 551 |
29 | 29 |
1 |
Prime factors of 3306 are 2, 3, 19,29. Prime factorization of 3306 in exponential form is:
3306 = 21×31×191×291
Now multiplying the highest exponent prime factors to calculate the LCM of 3303 and 3306.
LCM(3303,3306) = 21×32×191×291×3671
LCM(3303,3306) = 3639906
Factors of 3303
List of positive integer factors of 3303 that divides 3303 without a remainder.
1, 3, 9, 367, 1101, 3303
Factors of 3306
List of positive integer factors of 3306 that divides 3306 without a remainder.
1, 2, 3, 6, 19, 29, 38, 57, 58, 87, 114, 174, 551, 1102, 1653, 3306
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3303 and 3306, than apply into the LCM equation.
GCF(3303,3306) = 3
LCM(3303,3306) = ( 3303 × 3306) / 3
LCM(3303,3306) = 10919718 / 3
LCM(3303,3306) = 3639906
(i) The LCM of 3306 and 3303 is associative
LCM of 3303 and 3306 = LCM of 3306 and 3303
1. What is the LCM of 3303 and 3306?
Answer: LCM of 3303 and 3306 is 3639906.
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 3306?
Answer: Factors of 3306 are 1, 2, 3, 6, 19, 29, 38, 57, 58, 87, 114, 174, 551, 1102, 1653, 3306. There are 16 integers that are factors of 3306. The greatest factor of 3306 is 3306.
4. How to Find the LCM of 3303 and 3306?
Answer:
Least Common Multiple of 3303 and 3306 = 3639906
Step 1: Find the prime factorization of 3303
3303 = 3 x 3 x 367
Step 2: Find the prime factorization of 3306
3306 = 2 x 3 x 19 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3639906 = 2 x 3 x 3 x 19 x 29 x 367
Step 4: Therefore, the least common multiple of 3303 and 3306 is 3639906.