Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4931 and 4933 the smallest integer that is 24324623 that is divisible by both numbers.
Least Common Multiple (LCM) of 4931 and 4933 is 24324623.
LCM(4931,4933) = 24324623
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 4931 and 4933. First we will calculate the prime factors of 4931 and 4933.
Prime Factorization of 4931
4931 | 4931 |
1 |
Prime factors of 4931 are 4931. Prime factorization of 4931 in exponential form is:
4931 = 49311
Prime Factorization of 4933
4933 | 4933 |
1 |
Prime factors of 4933 are 4933. Prime factorization of 4933 in exponential form is:
4933 = 49331
Now multiplying the highest exponent prime factors to calculate the LCM of 4931 and 4933.
LCM(4931,4933) = 49311×49331
LCM(4931,4933) = 24324623
Factors of 4931
List of positive integer factors of 4931 that divides 4931 without a remainder.
1, 4931
Factors of 4933
List of positive integer factors of 4933 that divides 4933 without a remainder.
1, 4933
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4931 and 4933, than apply into the LCM equation.
GCF(4931,4933) = 1
LCM(4931,4933) = ( 4931 × 4933) / 1
LCM(4931,4933) = 24324623 / 1
LCM(4931,4933) = 24324623
(i) The LCM of 4933 and 4931 is associative
LCM of 4931 and 4933 = LCM of 4933 and 4931
1. What is the LCM of 4931 and 4933?
Answer: LCM of 4931 and 4933 is 24324623.
2. 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.
3. What are the Factors of 4933?
Answer: Factors of 4933 are 1, 4933. There are 2 integers that are factors of 4933. The greatest factor of 4933 is 4933.
4. How to Find the LCM of 4931 and 4933?
Answer:
Least Common Multiple of 4931 and 4933 = 24324623
Step 1: Find the prime factorization of 4931
4931 = 4931
Step 2: Find the prime factorization of 4933
4933 = 4933
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 24324623 = 4931 x 4933
Step 4: Therefore, the least common multiple of 4931 and 4933 is 24324623.