Least Common Multiple of 7625 and 7629
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 7629 the smallest integer that is 58171125 that is divisible by both numbers.
Least Common Multiple (LCM) of 7625 and 7629 is 58171125.
LCM(7625,7629) = 58171125
LCM of 7625 and 7629
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7625 and 7629 by Prime method
- Least Common Multiple of 7625 and 7629 with GCF Formula
LCM of 7625 and 7629 is 58171125
Least common multiple can be found by multiplying the highest exponent prime factors of 7625 and 7629. First we will calculate the prime factors of 7625 and 7629.
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 7629
| 3 | 7629 |
| 2543 | 2543 |
| 1 |
Prime factors of 7629 are 3,2543. Prime factorization of 7629 in exponential form is:
7629 = 31×25431
Now multiplying the highest exponent prime factors to calculate the LCM of 7625 and 7629.
LCM(7625,7629) = 31×53×611×25431
LCM(7625,7629) = 58171125
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 7629
List of positive integer factors of 7629 that divides 7629 without a remainder.
1, 3, 2543, 7629
Least Common Multiple of 7625 and 7629 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 7629, than apply into the LCM equation.
GCF(7625,7629) = 1
LCM(7625,7629) = ( 7625 × 7629) / 1
LCM(7625,7629) = 58171125 / 1
LCM(7625,7629) = 58171125
Properties of LCM 7625 and 7629
(i) The LCM of 7629 and 7625 is associative
LCM of 7625 and 7629 = LCM of 7629 and 7625
Related Least Common Multiples of 7625
Related Least Common Multiples of 7629
Frequently Asked Questions on LCM of 7625 and 7629
1. What is the LCM of 7625 and 7629?
Answer: LCM of 7625 and 7629 is 58171125.
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 7629?
Answer: Factors of 7629 are 1, 3, 2543, 7629. There are 4 integers that are factors of 7629. The greatest factor of 7629 is 7629.
4. How to Find the LCM of 7625 and 7629?
Answer:
Least Common Multiple of 7625 and 7629 = 58171125
Step 1: Find the prime factorization of 7625
7625 = 5 x 5 x 5 x 61
Step 2: Find the prime factorization of 7629
7629 = 3 x 2543
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 58171125 = 3 x 5 x 5 x 5 x 61 x 2543
Step 4: Therefore, the least common multiple of 7625 and 7629 is 58171125.