Least Common Multiple of 3387 and 3395
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3387 and 3395 the smallest integer that is 11498865 that is divisible by both numbers.
Least Common Multiple (LCM) of 3387 and 3395 is 11498865.
LCM(3387,3395) = 11498865
LCM of 3387 and 3395
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3387 and 3395 by Prime method
- Least Common Multiple of 3387 and 3395 with GCF Formula
LCM of 3387 and 3395 is 11498865
Least common multiple can be found by multiplying the highest exponent prime factors of 3387 and 3395. First we will calculate the prime factors of 3387 and 3395.
Prime Factorization of 3387
| 3 | 3387 |
| 1129 | 1129 |
| 1 |
Prime factors of 3387 are 3,1129. Prime factorization of 3387 in exponential form is:
3387 = 31×11291
Prime Factorization of 3395
| 5 | 3395 |
| 7 | 679 |
| 97 | 97 |
| 1 |
Prime factors of 3395 are 5, 7,97. Prime factorization of 3395 in exponential form is:
3395 = 51×71×971
Now multiplying the highest exponent prime factors to calculate the LCM of 3387 and 3395.
LCM(3387,3395) = 31×51×71×971×11291
LCM(3387,3395) = 11498865
Factors of 3387
List of positive integer factors of 3387 that divides 3387 without a remainder.
1, 3, 1129, 3387
Factors of 3395
List of positive integer factors of 3395 that divides 3395 without a remainder.
1, 5, 7, 35, 97, 485, 679, 3395
Least Common Multiple of 3387 and 3395 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3387 and 3395, than apply into the LCM equation.
GCF(3387,3395) = 1
LCM(3387,3395) = ( 3387 × 3395) / 1
LCM(3387,3395) = 11498865 / 1
LCM(3387,3395) = 11498865
Properties of LCM 3387 and 3395
(i) The LCM of 3395 and 3387 is associative
LCM of 3387 and 3395 = LCM of 3395 and 3387
Related Least Common Multiples of 3387
Related Least Common Multiples of 3395
Frequently Asked Questions on LCM of 3387 and 3395
1. What is the LCM of 3387 and 3395?
Answer: LCM of 3387 and 3395 is 11498865.
2. What are the Factors of 3387?
Answer: Factors of 3387 are 1, 3, 1129, 3387. There are 4 integers that are factors of 3387. The greatest factor of 3387 is 3387.
3. What are the Factors of 3395?
Answer: Factors of 3395 are 1, 5, 7, 35, 97, 485, 679, 3395. There are 8 integers that are factors of 3395. The greatest factor of 3395 is 3395.
4. How to Find the LCM of 3387 and 3395?
Answer:
Least Common Multiple of 3387 and 3395 = 11498865
Step 1: Find the prime factorization of 3387
3387 = 3 x 1129
Step 2: Find the prime factorization of 3395
3395 = 5 x 7 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11498865 = 3 x 5 x 7 x 97 x 1129
Step 4: Therefore, the least common multiple of 3387 and 3395 is 11498865.