Least Common Multiple of 3381 and 3385
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3381 and 3385 the smallest integer that is 11444685 that is divisible by both numbers.
Least Common Multiple (LCM) of 3381 and 3385 is 11444685.
LCM(3381,3385) = 11444685
LCM of 3381 and 3385
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3381 and 3385 by Prime method
- Least Common Multiple of 3381 and 3385 with GCF Formula
LCM of 3381 and 3385 is 11444685
Least common multiple can be found by multiplying the highest exponent prime factors of 3381 and 3385. First we will calculate the prime factors of 3381 and 3385.
Prime Factorization of 3381
| 3 | 3381 |
| 7 | 1127 |
| 7 | 161 |
| 23 | 23 |
| 1 |
Prime factors of 3381 are 3, 7,23. Prime factorization of 3381 in exponential form is:
3381 = 31×72×231
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
Now multiplying the highest exponent prime factors to calculate the LCM of 3381 and 3385.
LCM(3381,3385) = 31×51×72×231×6771
LCM(3381,3385) = 11444685
Factors of 3381
List of positive integer factors of 3381 that divides 3381 without a remainder.
1, 3, 7, 21, 23, 49, 69, 147, 161, 483, 1127, 3381
Factors of 3385
List of positive integer factors of 3385 that divides 3385 without a remainder.
1, 5, 677, 3385
Least Common Multiple of 3381 and 3385 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3381 and 3385, than apply into the LCM equation.
GCF(3381,3385) = 1
LCM(3381,3385) = ( 3381 × 3385) / 1
LCM(3381,3385) = 11444685 / 1
LCM(3381,3385) = 11444685
Properties of LCM 3381 and 3385
(i) The LCM of 3385 and 3381 is associative
LCM of 3381 and 3385 = LCM of 3385 and 3381
Related Least Common Multiples of 3381
Related Least Common Multiples of 3385
Frequently Asked Questions on LCM of 3381 and 3385
1. What is the LCM of 3381 and 3385?
Answer: LCM of 3381 and 3385 is 11444685.
2. What are the Factors of 3381?
Answer: Factors of 3381 are 1, 3, 7, 21, 23, 49, 69, 147, 161, 483, 1127, 3381. There are 12 integers that are factors of 3381. The greatest factor of 3381 is 3381.
3. 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.
4. How to Find the LCM of 3381 and 3385?
Answer:
Least Common Multiple of 3381 and 3385 = 11444685
Step 1: Find the prime factorization of 3381
3381 = 3 x 7 x 7 x 23
Step 2: Find the prime factorization of 3385
3385 = 5 x 677
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11444685 = 3 x 5 x 7 x 7 x 23 x 677
Step 4: Therefore, the least common multiple of 3381 and 3385 is 11444685.