Least Common Multiple of 7625 and 7631
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7625 and 7631 the smallest integer that is 58186375 that is divisible by both numbers.
Least Common Multiple (LCM) of 7625 and 7631 is 58186375.
LCM(7625,7631) = 58186375
LCM of 7625 and 7631
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7625 and 7631 by Prime method
- Least Common Multiple of 7625 and 7631 with GCF Formula
LCM of 7625 and 7631 is 58186375
Least common multiple can be found by multiplying the highest exponent prime factors of 7625 and 7631. First we will calculate the prime factors of 7625 and 7631.
Prime Factorization of 7625
| 5 | 7625 |
| 5 | 1525 |
| 5 | 305 |
| 61 | 61 |
| 1 |
Prime factors of 7625 are 5,61. Prime factorization of 7625 in exponential form is:
7625 = 53×611
Prime Factorization of 7631
| 13 | 7631 |
| 587 | 587 |
| 1 |
Prime factors of 7631 are 13,587. Prime factorization of 7631 in exponential form is:
7631 = 131×5871
Now multiplying the highest exponent prime factors to calculate the LCM of 7625 and 7631.
LCM(7625,7631) = 53×131×611×5871
LCM(7625,7631) = 58186375
Factors of 7625
List of positive integer factors of 7625 that divides 7625 without a remainder.
1, 5, 25, 61, 125, 305, 1525, 7625
Factors of 7631
List of positive integer factors of 7631 that divides 7631 without a remainder.
1, 13, 587, 7631
Least Common Multiple of 7625 and 7631 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7625 and 7631, than apply into the LCM equation.
GCF(7625,7631) = 1
LCM(7625,7631) = ( 7625 × 7631) / 1
LCM(7625,7631) = 58186375 / 1
LCM(7625,7631) = 58186375
Properties of LCM 7625 and 7631
(i) The LCM of 7631 and 7625 is associative
LCM of 7625 and 7631 = LCM of 7631 and 7625
Related Least Common Multiples of 7625
Related Least Common Multiples of 7631
Frequently Asked Questions on LCM of 7625 and 7631
1. What is the LCM of 7625 and 7631?
Answer: LCM of 7625 and 7631 is 58186375.
2. What are the Factors of 7625?
Answer: Factors of 7625 are 1, 5, 25, 61, 125, 305, 1525, 7625. There are 8 integers that are factors of 7625. The greatest factor of 7625 is 7625.
3. What are the Factors of 7631?
Answer: Factors of 7631 are 1, 13, 587, 7631. There are 4 integers that are factors of 7631. The greatest factor of 7631 is 7631.
4. How to Find the LCM of 7625 and 7631?
Answer:
Least Common Multiple of 7625 and 7631 = 58186375
Step 1: Find the prime factorization of 7625
7625 = 5 x 5 x 5 x 61
Step 2: Find the prime factorization of 7631
7631 = 13 x 587
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 58186375 = 5 x 5 x 5 x 13 x 61 x 587
Step 4: Therefore, the least common multiple of 7625 and 7631 is 58186375.