Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3295 and 3303 the smallest integer that is 10883385 that is divisible by both numbers.
Least Common Multiple (LCM) of 3295 and 3303 is 10883385.
LCM(3295,3303) = 10883385
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 3295 and 3303. First we will calculate the prime factors of 3295 and 3303.
Prime Factorization of 3295
5 | 3295 |
659 | 659 |
1 |
Prime factors of 3295 are 5,659. Prime factorization of 3295 in exponential form is:
3295 = 51×6591
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
Now multiplying the highest exponent prime factors to calculate the LCM of 3295 and 3303.
LCM(3295,3303) = 32×51×3671×6591
LCM(3295,3303) = 10883385
Factors of 3295
List of positive integer factors of 3295 that divides 3295 without a remainder.
1, 5, 659, 3295
Factors of 3303
List of positive integer factors of 3303 that divides 3303 without a remainder.
1, 3, 9, 367, 1101, 3303
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3295 and 3303, than apply into the LCM equation.
GCF(3295,3303) = 1
LCM(3295,3303) = ( 3295 × 3303) / 1
LCM(3295,3303) = 10883385 / 1
LCM(3295,3303) = 10883385
(i) The LCM of 3303 and 3295 is associative
LCM of 3295 and 3303 = LCM of 3303 and 3295
1. What is the LCM of 3295 and 3303?
Answer: LCM of 3295 and 3303 is 10883385.
2. What are the Factors of 3295?
Answer: Factors of 3295 are 1, 5, 659, 3295. There are 4 integers that are factors of 3295. The greatest factor of 3295 is 3295.
3. 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.
4. How to Find the LCM of 3295 and 3303?
Answer:
Least Common Multiple of 3295 and 3303 = 10883385
Step 1: Find the prime factorization of 3295
3295 = 5 x 659
Step 2: Find the prime factorization of 3303
3303 = 3 x 3 x 367
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10883385 = 3 x 3 x 5 x 367 x 659
Step 4: Therefore, the least common multiple of 3295 and 3303 is 10883385.