Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6625 and 6631 the smallest integer that is 43930375 that is divisible by both numbers.
Least Common Multiple (LCM) of 6625 and 6631 is 43930375.
LCM(6625,6631) = 43930375
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 6625 and 6631. First we will calculate the prime factors of 6625 and 6631.
Prime Factorization of 6625
5 | 6625 |
5 | 1325 |
5 | 265 |
53 | 53 |
1 |
Prime factors of 6625 are 5,53. Prime factorization of 6625 in exponential form is:
6625 = 53×531
Prime Factorization of 6631
19 | 6631 |
349 | 349 |
1 |
Prime factors of 6631 are 19,349. Prime factorization of 6631 in exponential form is:
6631 = 191×3491
Now multiplying the highest exponent prime factors to calculate the LCM of 6625 and 6631.
LCM(6625,6631) = 53×191×531×3491
LCM(6625,6631) = 43930375
Factors of 6625
List of positive integer factors of 6625 that divides 6625 without a remainder.
1, 5, 25, 53, 125, 265, 1325, 6625
Factors of 6631
List of positive integer factors of 6631 that divides 6631 without a remainder.
1, 19, 349, 6631
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6625 and 6631, than apply into the LCM equation.
GCF(6625,6631) = 1
LCM(6625,6631) = ( 6625 × 6631) / 1
LCM(6625,6631) = 43930375 / 1
LCM(6625,6631) = 43930375
(i) The LCM of 6631 and 6625 is associative
LCM of 6625 and 6631 = LCM of 6631 and 6625
1. What is the LCM of 6625 and 6631?
Answer: LCM of 6625 and 6631 is 43930375.
2. What are the Factors of 6625?
Answer: Factors of 6625 are 1, 5, 25, 53, 125, 265, 1325, 6625. There are 8 integers that are factors of 6625. The greatest factor of 6625 is 6625.
3. What are the Factors of 6631?
Answer: Factors of 6631 are 1, 19, 349, 6631. There are 4 integers that are factors of 6631. The greatest factor of 6631 is 6631.
4. How to Find the LCM of 6625 and 6631?
Answer:
Least Common Multiple of 6625 and 6631 = 43930375
Step 1: Find the prime factorization of 6625
6625 = 5 x 5 x 5 x 53
Step 2: Find the prime factorization of 6631
6631 = 19 x 349
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 43930375 = 5 x 5 x 5 x 19 x 53 x 349
Step 4: Therefore, the least common multiple of 6625 and 6631 is 43930375.