Least Common Multiple of 393 and 395
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 393 and 395 the smallest integer that is 155235 that is divisible by both numbers.
Least Common Multiple (LCM) of 393 and 395 is 155235.
LCM(393,395) = 155235
LCM of 393 and 395
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 393 and 395 by Prime method
- Least Common Multiple of 393 and 395 with GCF Formula
LCM of 393 and 395 is 155235
Least common multiple can be found by multiplying the highest exponent prime factors of 393 and 395. First we will calculate the prime factors of 393 and 395.
Prime Factorization of 393
| 3 | 393 |
| 131 | 131 |
| 1 |
Prime factors of 393 are 3,131. Prime factorization of 393 in exponential form is:
393 = 31×1311
Prime Factorization of 395
| 5 | 395 |
| 79 | 79 |
| 1 |
Prime factors of 395 are 5,79. Prime factorization of 395 in exponential form is:
395 = 51×791
Now multiplying the highest exponent prime factors to calculate the LCM of 393 and 395.
LCM(393,395) = 31×51×791×1311
LCM(393,395) = 155235
Factors of 393
List of positive integer factors of 393 that divides 393 without a remainder.
1, 3, 131, 393
Factors of 395
List of positive integer factors of 395 that divides 395 without a remainder.
1, 5, 79, 395
Least Common Multiple of 393 and 395 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 393 and 395, than apply into the LCM equation.
GCF(393,395) = 1
LCM(393,395) = ( 393 × 395) / 1
LCM(393,395) = 155235 / 1
LCM(393,395) = 155235
Properties of LCM 393 and 395
(i) The LCM of 395 and 393 is associative
LCM of 393 and 395 = LCM of 395 and 393
Related Least Common Multiples of 393
Related Least Common Multiples of 395
Frequently Asked Questions on LCM of 393 and 395
1. What is the LCM of 393 and 395?
Answer: LCM of 393 and 395 is 155235.
2. What are the Factors of 393?
Answer: Factors of 393 are 1, 3, 131, 393. There are 4 integers that are factors of 393. The greatest factor of 393 is 393.
3. What are the Factors of 395?
Answer: Factors of 395 are 1, 5, 79, 395. There are 4 integers that are factors of 395. The greatest factor of 395 is 395.
4. How to Find the LCM of 393 and 395?
Answer:
Least Common Multiple of 393 and 395 = 155235
Step 1: Find the prime factorization of 393
393 = 3 x 131
Step 2: Find the prime factorization of 395
395 = 5 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 155235 = 3 x 5 x 79 x 131
Step 4: Therefore, the least common multiple of 393 and 395 is 155235.