Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6925 and 6933 the smallest integer that is 48011025 that is divisible by both numbers.
Least Common Multiple (LCM) of 6925 and 6933 is 48011025.
LCM(6925,6933) = 48011025
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 6925 and 6933. First we will calculate the prime factors of 6925 and 6933.
Prime Factorization of 6925
5 | 6925 |
5 | 1385 |
277 | 277 |
1 |
Prime factors of 6925 are 5,277. Prime factorization of 6925 in exponential form is:
6925 = 52×2771
Prime Factorization of 6933
3 | 6933 |
2311 | 2311 |
1 |
Prime factors of 6933 are 3,2311. Prime factorization of 6933 in exponential form is:
6933 = 31×23111
Now multiplying the highest exponent prime factors to calculate the LCM of 6925 and 6933.
LCM(6925,6933) = 31×52×2771×23111
LCM(6925,6933) = 48011025
Factors of 6925
List of positive integer factors of 6925 that divides 6925 without a remainder.
1, 5, 25, 277, 1385, 6925
Factors of 6933
List of positive integer factors of 6933 that divides 6933 without a remainder.
1, 3, 2311, 6933
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6925 and 6933, than apply into the LCM equation.
GCF(6925,6933) = 1
LCM(6925,6933) = ( 6925 × 6933) / 1
LCM(6925,6933) = 48011025 / 1
LCM(6925,6933) = 48011025
(i) The LCM of 6933 and 6925 is associative
LCM of 6925 and 6933 = LCM of 6933 and 6925
1. What is the LCM of 6925 and 6933?
Answer: LCM of 6925 and 6933 is 48011025.
2. What are the Factors of 6925?
Answer: Factors of 6925 are 1, 5, 25, 277, 1385, 6925. There are 6 integers that are factors of 6925. The greatest factor of 6925 is 6925.
3. What are the Factors of 6933?
Answer: Factors of 6933 are 1, 3, 2311, 6933. There are 4 integers that are factors of 6933. The greatest factor of 6933 is 6933.
4. How to Find the LCM of 6925 and 6933?
Answer:
Least Common Multiple of 6925 and 6933 = 48011025
Step 1: Find the prime factorization of 6925
6925 = 5 x 5 x 277
Step 2: Find the prime factorization of 6933
6933 = 3 x 2311
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 48011025 = 3 x 5 x 5 x 277 x 2311
Step 4: Therefore, the least common multiple of 6925 and 6933 is 48011025.