Least Common Multiple of 3345 and 3349
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3345 and 3349 the smallest integer that is 11202405 that is divisible by both numbers.
Least Common Multiple (LCM) of 3345 and 3349 is 11202405.
LCM(3345,3349) = 11202405
LCM of 3345 and 3349
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3345 and 3349 by Prime method
- Least Common Multiple of 3345 and 3349 with GCF Formula
LCM of 3345 and 3349 is 11202405
Least common multiple can be found by multiplying the highest exponent prime factors of 3345 and 3349. First we will calculate the prime factors of 3345 and 3349.
Prime Factorization of 3345
| 3 | 3345 |
| 5 | 1115 |
| 223 | 223 |
| 1 |
Prime factors of 3345 are 3, 5,223. Prime factorization of 3345 in exponential form is:
3345 = 31×51×2231
Prime Factorization of 3349
| 17 | 3349 |
| 197 | 197 |
| 1 |
Prime factors of 3349 are 17,197. Prime factorization of 3349 in exponential form is:
3349 = 171×1971
Now multiplying the highest exponent prime factors to calculate the LCM of 3345 and 3349.
LCM(3345,3349) = 31×51×171×1971×2231
LCM(3345,3349) = 11202405
Factors of 3345
List of positive integer factors of 3345 that divides 3345 without a remainder.
1, 3, 5, 15, 223, 669, 1115, 3345
Factors of 3349
List of positive integer factors of 3349 that divides 3349 without a remainder.
1, 17, 197, 3349
Least Common Multiple of 3345 and 3349 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3345 and 3349, than apply into the LCM equation.
GCF(3345,3349) = 1
LCM(3345,3349) = ( 3345 × 3349) / 1
LCM(3345,3349) = 11202405 / 1
LCM(3345,3349) = 11202405
Properties of LCM 3345 and 3349
(i) The LCM of 3349 and 3345 is associative
LCM of 3345 and 3349 = LCM of 3349 and 3345
Related Least Common Multiples of 3345
Related Least Common Multiples of 3349
Frequently Asked Questions on LCM of 3345 and 3349
1. What is the LCM of 3345 and 3349?
Answer: LCM of 3345 and 3349 is 11202405.
2. What are the Factors of 3345?
Answer: Factors of 3345 are 1, 3, 5, 15, 223, 669, 1115, 3345. There are 8 integers that are factors of 3345. The greatest factor of 3345 is 3345.
3. What are the Factors of 3349?
Answer: Factors of 3349 are 1, 17, 197, 3349. There are 4 integers that are factors of 3349. The greatest factor of 3349 is 3349.
4. How to Find the LCM of 3345 and 3349?
Answer:
Least Common Multiple of 3345 and 3349 = 11202405
Step 1: Find the prime factorization of 3345
3345 = 3 x 5 x 223
Step 2: Find the prime factorization of 3349
3349 = 17 x 197
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11202405 = 3 x 5 x 17 x 197 x 223
Step 4: Therefore, the least common multiple of 3345 and 3349 is 11202405.