Least Common Multiple of 391 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 391 and 395 the smallest integer that is 154445 that is divisible by both numbers.
Least Common Multiple (LCM) of 391 and 395 is 154445.
LCM(391,395) = 154445
LCM of 391 and 395
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 391 and 395 by Prime method
- Least Common Multiple of 391 and 395 with GCF Formula
LCM of 391 and 395 is 154445
Least common multiple can be found by multiplying the highest exponent prime factors of 391 and 395. First we will calculate the prime factors of 391 and 395.
Prime Factorization of 391
| 17 | 391 |
| 23 | 23 |
| 1 |
Prime factors of 391 are 17,23. Prime factorization of 391 in exponential form is:
391 = 171×231
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 391 and 395.
LCM(391,395) = 51×171×231×791
LCM(391,395) = 154445
Factors of 391
List of positive integer factors of 391 that divides 391 without a remainder.
1, 17, 23, 391
Factors of 395
List of positive integer factors of 395 that divides 395 without a remainder.
1, 5, 79, 395
Least Common Multiple of 391 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 391 and 395, than apply into the LCM equation.
GCF(391,395) = 1
LCM(391,395) = ( 391 × 395) / 1
LCM(391,395) = 154445 / 1
LCM(391,395) = 154445
Properties of LCM 391 and 395
(i) The LCM of 395 and 391 is associative
LCM of 391 and 395 = LCM of 395 and 391
Related Least Common Multiples of 391
Related Least Common Multiples of 395
Frequently Asked Questions on LCM of 391 and 395
1. What is the LCM of 391 and 395?
Answer: LCM of 391 and 395 is 154445.
2. What are the Factors of 391?
Answer: Factors of 391 are 1, 17, 23, 391. There are 4 integers that are factors of 391. The greatest factor of 391 is 391.
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 391 and 395?
Answer:
Least Common Multiple of 391 and 395 = 154445
Step 1: Find the prime factorization of 391
391 = 17 x 23
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 = 154445 = 5 x 17 x 23 x 79
Step 4: Therefore, the least common multiple of 391 and 395 is 154445.