Least Common Multiple of 391 and 394
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 394 the smallest integer that is 154054 that is divisible by both numbers.
Least Common Multiple (LCM) of 391 and 394 is 154054.
LCM(391,394) = 154054
LCM of 391 and 394
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 391 and 394 by Prime method
- Least Common Multiple of 391 and 394 with GCF Formula
LCM of 391 and 394 is 154054
Least common multiple can be found by multiplying the highest exponent prime factors of 391 and 394. First we will calculate the prime factors of 391 and 394.
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 394
| 2 | 394 |
| 197 | 197 |
| 1 |
Prime factors of 394 are 2,197. Prime factorization of 394 in exponential form is:
394 = 21×1971
Now multiplying the highest exponent prime factors to calculate the LCM of 391 and 394.
LCM(391,394) = 21×171×231×1971
LCM(391,394) = 154054
Factors of 391
List of positive integer factors of 391 that divides 391 without a remainder.
1, 17, 23, 391
Factors of 394
List of positive integer factors of 394 that divides 394 without a remainder.
1, 2, 197, 394
Least Common Multiple of 391 and 394 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 394, than apply into the LCM equation.
GCF(391,394) = 1
LCM(391,394) = ( 391 × 394) / 1
LCM(391,394) = 154054 / 1
LCM(391,394) = 154054
Properties of LCM 391 and 394
(i) The LCM of 394 and 391 is associative
LCM of 391 and 394 = LCM of 394 and 391
Related Least Common Multiples of 391
Related Least Common Multiples of 394
Frequently Asked Questions on LCM of 391 and 394
1. What is the LCM of 391 and 394?
Answer: LCM of 391 and 394 is 154054.
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 394?
Answer: Factors of 394 are 1, 2, 197, 394. There are 4 integers that are factors of 394. The greatest factor of 394 is 394.
4. How to Find the LCM of 391 and 394?
Answer:
Least Common Multiple of 391 and 394 = 154054
Step 1: Find the prime factorization of 391
391 = 17 x 23
Step 2: Find the prime factorization of 394
394 = 2 x 197
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 154054 = 2 x 17 x 23 x 197
Step 4: Therefore, the least common multiple of 391 and 394 is 154054.
