Least Common Multiple of 391 and 393
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 393 the smallest integer that is 153663 that is divisible by both numbers.
Least Common Multiple (LCM) of 391 and 393 is 153663.
LCM(391,393) = 153663
LCM of 391 and 393
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 391 and 393 by Prime method
- Least Common Multiple of 391 and 393 with GCF Formula
LCM of 391 and 393 is 153663
Least common multiple can be found by multiplying the highest exponent prime factors of 391 and 393. First we will calculate the prime factors of 391 and 393.
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 393
| 3 | 393 |
| 131 | 131 |
| 1 |
Prime factors of 393 are 3,131. Prime factorization of 393 in exponential form is:
393 = 31×1311
Now multiplying the highest exponent prime factors to calculate the LCM of 391 and 393.
LCM(391,393) = 31×171×231×1311
LCM(391,393) = 153663
Factors of 391
List of positive integer factors of 391 that divides 391 without a remainder.
1, 17, 23, 391
Factors of 393
List of positive integer factors of 393 that divides 393 without a remainder.
1, 3, 131, 393
Least Common Multiple of 391 and 393 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 393, than apply into the LCM equation.
GCF(391,393) = 1
LCM(391,393) = ( 391 × 393) / 1
LCM(391,393) = 153663 / 1
LCM(391,393) = 153663
Properties of LCM 391 and 393
(i) The LCM of 393 and 391 is associative
LCM of 391 and 393 = LCM of 393 and 391
Related Least Common Multiples of 391
Related Least Common Multiples of 393
Frequently Asked Questions on LCM of 391 and 393
1. What is the LCM of 391 and 393?
Answer: LCM of 391 and 393 is 153663.
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 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.
4. How to Find the LCM of 391 and 393?
Answer:
Least Common Multiple of 391 and 393 = 153663
Step 1: Find the prime factorization of 391
391 = 17 x 23
Step 2: Find the prime factorization of 393
393 = 3 x 131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 153663 = 3 x 17 x 23 x 131
Step 4: Therefore, the least common multiple of 391 and 393 is 153663.