Least Common Multiple of 7625 and 7633
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 7633 the smallest integer that is 58201625 that is divisible by both numbers.
Least Common Multiple (LCM) of 7625 and 7633 is 58201625.
LCM(7625,7633) = 58201625
LCM of 7625 and 7633
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7625 and 7633 by Prime method
- Least Common Multiple of 7625 and 7633 with GCF Formula
LCM of 7625 and 7633 is 58201625
Least common multiple can be found by multiplying the highest exponent prime factors of 7625 and 7633. First we will calculate the prime factors of 7625 and 7633.
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 7633
| 17 | 7633 |
| 449 | 449 |
| 1 |
Prime factors of 7633 are 17,449. Prime factorization of 7633 in exponential form is:
7633 = 171×4491
Now multiplying the highest exponent prime factors to calculate the LCM of 7625 and 7633.
LCM(7625,7633) = 53×171×611×4491
LCM(7625,7633) = 58201625
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 7633
List of positive integer factors of 7633 that divides 7633 without a remainder.
1, 17, 449, 7633
Least Common Multiple of 7625 and 7633 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 7633, than apply into the LCM equation.
GCF(7625,7633) = 1
LCM(7625,7633) = ( 7625 × 7633) / 1
LCM(7625,7633) = 58201625 / 1
LCM(7625,7633) = 58201625
Properties of LCM 7625 and 7633
(i) The LCM of 7633 and 7625 is associative
LCM of 7625 and 7633 = LCM of 7633 and 7625
Related Least Common Multiples of 7625
Related Least Common Multiples of 7633
Frequently Asked Questions on LCM of 7625 and 7633
1. What is the LCM of 7625 and 7633?
Answer: LCM of 7625 and 7633 is 58201625.
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 7633?
Answer: Factors of 7633 are 1, 17, 449, 7633. There are 4 integers that are factors of 7633. The greatest factor of 7633 is 7633.
4. How to Find the LCM of 7625 and 7633?
Answer:
Least Common Multiple of 7625 and 7633 = 58201625
Step 1: Find the prime factorization of 7625
7625 = 5 x 5 x 5 x 61
Step 2: Find the prime factorization of 7633
7633 = 17 x 449
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 58201625 = 5 x 5 x 5 x 17 x 61 x 449
Step 4: Therefore, the least common multiple of 7625 and 7633 is 58201625.