Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 311 and 313 the smallest integer that is 97343 that is divisible by both numbers.
Least Common Multiple (LCM) of 311 and 313 is 97343.
LCM(311,313) = 97343
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 311 and 313. First we will calculate the prime factors of 311 and 313.
Prime Factorization of 311
311 | 311 |
1 |
Prime factors of 311 are 311. Prime factorization of 311 in exponential form is:
311 = 3111
Prime Factorization of 313
313 | 313 |
1 |
Prime factors of 313 are 313. Prime factorization of 313 in exponential form is:
313 = 3131
Now multiplying the highest exponent prime factors to calculate the LCM of 311 and 313.
LCM(311,313) = 3111×3131
LCM(311,313) = 97343
Factors of 311
List of positive integer factors of 311 that divides 311 without a remainder.
1, 311
Factors of 313
List of positive integer factors of 313 that divides 313 without a remainder.
1, 313
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 311 and 313, than apply into the LCM equation.
GCF(311,313) = 1
LCM(311,313) = ( 311 × 313) / 1
LCM(311,313) = 97343 / 1
LCM(311,313) = 97343
(i) The LCM of 313 and 311 is associative
LCM of 311 and 313 = LCM of 313 and 311
1. What is the LCM of 311 and 313?
Answer: LCM of 311 and 313 is 97343.
2. What are the Factors of 311?
Answer: Factors of 311 are 1, 311. There are 2 integers that are factors of 311. The greatest factor of 311 is 311.
3. What are the Factors of 313?
Answer: Factors of 313 are 1, 313. There are 2 integers that are factors of 313. The greatest factor of 313 is 313.
4. How to Find the LCM of 311 and 313?
Answer:
Least Common Multiple of 311 and 313 = 97343
Step 1: Find the prime factorization of 311
311 = 311
Step 2: Find the prime factorization of 313
313 = 313
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 97343 = 311 x 313
Step 4: Therefore, the least common multiple of 311 and 313 is 97343.