Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4933 and 4935 the smallest integer that is 24344355 that is divisible by both numbers.
Least Common Multiple (LCM) of 4933 and 4935 is 24344355.
LCM(4933,4935) = 24344355
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 4933 and 4935. First we will calculate the prime factors of 4933 and 4935.
Prime Factorization of 4933
4933 | 4933 |
1 |
Prime factors of 4933 are 4933. Prime factorization of 4933 in exponential form is:
4933 = 49331
Prime Factorization of 4935
3 | 4935 |
5 | 1645 |
7 | 329 |
47 | 47 |
1 |
Prime factors of 4935 are 3, 5, 7,47. Prime factorization of 4935 in exponential form is:
4935 = 31×51×71×471
Now multiplying the highest exponent prime factors to calculate the LCM of 4933 and 4935.
LCM(4933,4935) = 31×51×71×471×49331
LCM(4933,4935) = 24344355
Factors of 4933
List of positive integer factors of 4933 that divides 4933 without a remainder.
1, 4933
Factors of 4935
List of positive integer factors of 4935 that divides 4935 without a remainder.
1, 3, 5, 7, 15, 21, 35, 47, 105, 141, 235, 329, 705, 987, 1645, 4935
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4933 and 4935, than apply into the LCM equation.
GCF(4933,4935) = 1
LCM(4933,4935) = ( 4933 × 4935) / 1
LCM(4933,4935) = 24344355 / 1
LCM(4933,4935) = 24344355
(i) The LCM of 4935 and 4933 is associative
LCM of 4933 and 4935 = LCM of 4935 and 4933
1. What is the LCM of 4933 and 4935?
Answer: LCM of 4933 and 4935 is 24344355.
2. 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.
3. What are the Factors of 4935?
Answer: Factors of 4935 are 1, 3, 5, 7, 15, 21, 35, 47, 105, 141, 235, 329, 705, 987, 1645, 4935. There are 16 integers that are factors of 4935. The greatest factor of 4935 is 4935.
4. How to Find the LCM of 4933 and 4935?
Answer:
Least Common Multiple of 4933 and 4935 = 24344355
Step 1: Find the prime factorization of 4933
4933 = 4933
Step 2: Find the prime factorization of 4935
4935 = 3 x 5 x 7 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 24344355 = 3 x 5 x 7 x 47 x 4933
Step 4: Therefore, the least common multiple of 4933 and 4935 is 24344355.