Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4925 and 4933 the smallest integer that is 24295025 that is divisible by both numbers.
Least Common Multiple (LCM) of 4925 and 4933 is 24295025.
LCM(4925,4933) = 24295025
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 4925 and 4933. First we will calculate the prime factors of 4925 and 4933.
Prime Factorization of 4925
5 | 4925 |
5 | 985 |
197 | 197 |
1 |
Prime factors of 4925 are 5,197. Prime factorization of 4925 in exponential form is:
4925 = 52×1971
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 4925 and 4933.
LCM(4925,4933) = 52×1971×49331
LCM(4925,4933) = 24295025
Factors of 4925
List of positive integer factors of 4925 that divides 4925 without a remainder.
1, 5, 25, 197, 985, 4925
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 4925 and 4933, than apply into the LCM equation.
GCF(4925,4933) = 1
LCM(4925,4933) = ( 4925 × 4933) / 1
LCM(4925,4933) = 24295025 / 1
LCM(4925,4933) = 24295025
(i) The LCM of 4933 and 4925 is associative
LCM of 4925 and 4933 = LCM of 4933 and 4925
1. What is the LCM of 4925 and 4933?
Answer: LCM of 4925 and 4933 is 24295025.
2. What are the Factors of 4925?
Answer: Factors of 4925 are 1, 5, 25, 197, 985, 4925. There are 6 integers that are factors of 4925. The greatest factor of 4925 is 4925.
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 4925 and 4933?
Answer:
Least Common Multiple of 4925 and 4933 = 24295025
Step 1: Find the prime factorization of 4925
4925 = 5 x 5 x 197
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 = 24295025 = 5 x 5 x 197 x 4933
Step 4: Therefore, the least common multiple of 4925 and 4933 is 24295025.