Least Common Multiple of 3385 and 3393
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3385 and 3393 the smallest integer that is 11485305 that is divisible by both numbers.
Least Common Multiple (LCM) of 3385 and 3393 is 11485305.
LCM(3385,3393) = 11485305
LCM of 3385 and 3393
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3385 and 3393 by Prime method
- Least Common Multiple of 3385 and 3393 with GCF Formula
LCM of 3385 and 3393 is 11485305
Least common multiple can be found by multiplying the highest exponent prime factors of 3385 and 3393. First we will calculate the prime factors of 3385 and 3393.
Prime Factorization of 3385
| 5 | 3385 |
| 677 | 677 |
| 1 |
Prime factors of 3385 are 5,677. Prime factorization of 3385 in exponential form is:
3385 = 51×6771
Prime Factorization of 3393
| 3 | 3393 |
| 3 | 1131 |
| 13 | 377 |
| 29 | 29 |
| 1 |
Prime factors of 3393 are 3, 13,29. Prime factorization of 3393 in exponential form is:
3393 = 32×131×291
Now multiplying the highest exponent prime factors to calculate the LCM of 3385 and 3393.
LCM(3385,3393) = 32×51×131×291×6771
LCM(3385,3393) = 11485305
Factors of 3385
List of positive integer factors of 3385 that divides 3385 without a remainder.
1, 5, 677, 3385
Factors of 3393
List of positive integer factors of 3393 that divides 3393 without a remainder.
1, 3, 9, 13, 29, 39, 87, 117, 261, 377, 1131, 3393
Least Common Multiple of 3385 and 3393 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3385 and 3393, than apply into the LCM equation.
GCF(3385,3393) = 1
LCM(3385,3393) = ( 3385 × 3393) / 1
LCM(3385,3393) = 11485305 / 1
LCM(3385,3393) = 11485305
Properties of LCM 3385 and 3393
(i) The LCM of 3393 and 3385 is associative
LCM of 3385 and 3393 = LCM of 3393 and 3385
Related Least Common Multiples of 3385
Related Least Common Multiples of 3393
Frequently Asked Questions on LCM of 3385 and 3393
1. What is the LCM of 3385 and 3393?
Answer: LCM of 3385 and 3393 is 11485305.
2. What are the Factors of 3385?
Answer: Factors of 3385 are 1, 5, 677, 3385. There are 4 integers that are factors of 3385. The greatest factor of 3385 is 3385.
3. What are the Factors of 3393?
Answer: Factors of 3393 are 1, 3, 9, 13, 29, 39, 87, 117, 261, 377, 1131, 3393. There are 12 integers that are factors of 3393. The greatest factor of 3393 is 3393.
4. How to Find the LCM of 3385 and 3393?
Answer:
Least Common Multiple of 3385 and 3393 = 11485305
Step 1: Find the prime factorization of 3385
3385 = 5 x 677
Step 2: Find the prime factorization of 3393
3393 = 3 x 3 x 13 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11485305 = 3 x 3 x 5 x 13 x 29 x 677
Step 4: Therefore, the least common multiple of 3385 and 3393 is 11485305.