Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4927 and 4931 the smallest integer that is 24295037 that is divisible by both numbers.
Least Common Multiple (LCM) of 4927 and 4931 is 24295037.
LCM(4927,4931) = 24295037
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 4927 and 4931. First we will calculate the prime factors of 4927 and 4931.
Prime Factorization of 4927
13 | 4927 |
379 | 379 |
1 |
Prime factors of 4927 are 13,379. Prime factorization of 4927 in exponential form is:
4927 = 131×3791
Prime Factorization of 4931
4931 | 4931 |
1 |
Prime factors of 4931 are 4931. Prime factorization of 4931 in exponential form is:
4931 = 49311
Now multiplying the highest exponent prime factors to calculate the LCM of 4927 and 4931.
LCM(4927,4931) = 131×3791×49311
LCM(4927,4931) = 24295037
Factors of 4927
List of positive integer factors of 4927 that divides 4927 without a remainder.
1, 13, 379, 4927
Factors of 4931
List of positive integer factors of 4931 that divides 4931 without a remainder.
1, 4931
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4927 and 4931, than apply into the LCM equation.
GCF(4927,4931) = 1
LCM(4927,4931) = ( 4927 × 4931) / 1
LCM(4927,4931) = 24295037 / 1
LCM(4927,4931) = 24295037
(i) The LCM of 4931 and 4927 is associative
LCM of 4927 and 4931 = LCM of 4931 and 4927
1. What is the LCM of 4927 and 4931?
Answer: LCM of 4927 and 4931 is 24295037.
2. What are the Factors of 4927?
Answer: Factors of 4927 are 1, 13, 379, 4927. There are 4 integers that are factors of 4927. The greatest factor of 4927 is 4927.
3. What are the Factors of 4931?
Answer: Factors of 4931 are 1, 4931. There are 2 integers that are factors of 4931. The greatest factor of 4931 is 4931.
4. How to Find the LCM of 4927 and 4931?
Answer:
Least Common Multiple of 4927 and 4931 = 24295037
Step 1: Find the prime factorization of 4927
4927 = 13 x 379
Step 2: Find the prime factorization of 4931
4931 = 4931
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 24295037 = 13 x 379 x 4931
Step 4: Therefore, the least common multiple of 4927 and 4931 is 24295037.