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 3304 the smallest integer that is 10913112 that is divisible by both numbers.
Least Common Multiple (LCM) of 3303 and 3304 is 10913112.
LCM(3303,3304) = 10913112
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 3304. First we will calculate the prime factors of 3303 and 3304.
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 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 3303 and 3304.
LCM(3303,3304) = 23×32×71×591×3671
LCM(3303,3304) = 10913112
Factors of 3303
List of positive integer factors of 3303 that divides 3303 without a remainder.
1, 3, 9, 367, 1101, 3303
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
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3303 and 3304, than apply into the LCM equation.
GCF(3303,3304) = 1
LCM(3303,3304) = ( 3303 × 3304) / 1
LCM(3303,3304) = 10913112 / 1
LCM(3303,3304) = 10913112
(i) The LCM of 3304 and 3303 is associative
LCM of 3303 and 3304 = LCM of 3304 and 3303
1. What is the LCM of 3303 and 3304?
Answer: LCM of 3303 and 3304 is 10913112.
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 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 3303 and 3304?
Answer:
Least Common Multiple of 3303 and 3304 = 10913112
Step 1: Find the prime factorization of 3303
3303 = 3 x 3 x 367
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 = 10913112 = 2 x 2 x 2 x 3 x 3 x 7 x 59 x 367
Step 4: Therefore, the least common multiple of 3303 and 3304 is 10913112.