Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3304 and 3310 the smallest integer that is 5468120 that is divisible by both numbers.
Least Common Multiple (LCM) of 3304 and 3310 is 5468120.
LCM(3304,3310) = 5468120
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 3304 and 3310. First we will calculate the prime factors of 3304 and 3310.
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
Prime Factorization of 3310
2 | 3310 |
5 | 1655 |
331 | 331 |
1 |
Prime factors of 3310 are 2, 5,331. Prime factorization of 3310 in exponential form is:
3310 = 21×51×3311
Now multiplying the highest exponent prime factors to calculate the LCM of 3304 and 3310.
LCM(3304,3310) = 23×51×71×591×3311
LCM(3304,3310) = 5468120
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
Factors of 3310
List of positive integer factors of 3310 that divides 3310 without a remainder.
1, 2, 5, 10, 331, 662, 1655, 3310
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3304 and 3310, than apply into the LCM equation.
GCF(3304,3310) = 2
LCM(3304,3310) = ( 3304 × 3310) / 2
LCM(3304,3310) = 10936240 / 2
LCM(3304,3310) = 5468120
(i) The LCM of 3310 and 3304 is associative
LCM of 3304 and 3310 = LCM of 3310 and 3304
1. What is the LCM of 3304 and 3310?
Answer: LCM of 3304 and 3310 is 5468120.
2. 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.
3. What are the Factors of 3310?
Answer: Factors of 3310 are 1, 2, 5, 10, 331, 662, 1655, 3310. There are 8 integers that are factors of 3310. The greatest factor of 3310 is 3310.
4. How to Find the LCM of 3304 and 3310?
Answer:
Least Common Multiple of 3304 and 3310 = 5468120
Step 1: Find the prime factorization of 3304
3304 = 2 x 2 x 2 x 7 x 59
Step 2: Find the prime factorization of 3310
3310 = 2 x 5 x 331
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5468120 = 2 x 2 x 2 x 5 x 7 x 59 x 331
Step 4: Therefore, the least common multiple of 3304 and 3310 is 5468120.