Least Common Multiple of 3338 and 3345
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3338 and 3345 the smallest integer that is 11165610 that is divisible by both numbers.
Least Common Multiple (LCM) of 3338 and 3345 is 11165610.
LCM(3338,3345) = 11165610
LCM of 3338 and 3345
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3338 and 3345 by Prime method
- Least Common Multiple of 3338 and 3345 with GCF Formula
LCM of 3338 and 3345 is 11165610
Least common multiple can be found by multiplying the highest exponent prime factors of 3338 and 3345. First we will calculate the prime factors of 3338 and 3345.
Prime Factorization of 3338
| 2 | 3338 |
| 1669 | 1669 |
| 1 |
Prime factors of 3338 are 2,1669. Prime factorization of 3338 in exponential form is:
3338 = 21×16691
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
Now multiplying the highest exponent prime factors to calculate the LCM of 3338 and 3345.
LCM(3338,3345) = 21×31×51×2231×16691
LCM(3338,3345) = 11165610
Factors of 3338
List of positive integer factors of 3338 that divides 3338 without a remainder.
1, 2, 1669, 3338
Factors of 3345
List of positive integer factors of 3345 that divides 3345 without a remainder.
1, 3, 5, 15, 223, 669, 1115, 3345
Least Common Multiple of 3338 and 3345 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3338 and 3345, than apply into the LCM equation.
GCF(3338,3345) = 1
LCM(3338,3345) = ( 3338 × 3345) / 1
LCM(3338,3345) = 11165610 / 1
LCM(3338,3345) = 11165610
Properties of LCM 3338 and 3345
(i) The LCM of 3345 and 3338 is associative
LCM of 3338 and 3345 = LCM of 3345 and 3338
Related Least Common Multiples of 3338
Related Least Common Multiples of 3345
Frequently Asked Questions on LCM of 3338 and 3345
1. What is the LCM of 3338 and 3345?
Answer: LCM of 3338 and 3345 is 11165610.
2. What are the Factors of 3338?
Answer: Factors of 3338 are 1, 2, 1669, 3338. There are 4 integers that are factors of 3338. The greatest factor of 3338 is 3338.
3. 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.
4. How to Find the LCM of 3338 and 3345?
Answer:
Least Common Multiple of 3338 and 3345 = 11165610
Step 1: Find the prime factorization of 3338
3338 = 2 x 1669
Step 2: Find the prime factorization of 3345
3345 = 3 x 5 x 223
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11165610 = 2 x 3 x 5 x 223 x 1669
Step 4: Therefore, the least common multiple of 3338 and 3345 is 11165610.