Least Common Multiple of 7619 and 7625
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7619 and 7625 the smallest integer that is 58094875 that is divisible by both numbers.
Least Common Multiple (LCM) of 7619 and 7625 is 58094875.
LCM(7619,7625) = 58094875
LCM of 7619 and 7625
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7619 and 7625 by Prime method
- Least Common Multiple of 7619 and 7625 with GCF Formula
LCM of 7619 and 7625 is 58094875
Least common multiple can be found by multiplying the highest exponent prime factors of 7619 and 7625. First we will calculate the prime factors of 7619 and 7625.
Prime Factorization of 7619
| 19 | 7619 |
| 401 | 401 |
| 1 |
Prime factors of 7619 are 19,401. Prime factorization of 7619 in exponential form is:
7619 = 191×4011
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7619 and 7625.
LCM(7619,7625) = 53×191×611×4011
LCM(7619,7625) = 58094875
Factors of 7619
List of positive integer factors of 7619 that divides 7619 without a remainder.
1, 19, 401, 7619
Factors of 7625
List of positive integer factors of 7625 that divides 7625 without a remainder.
1, 5, 25, 61, 125, 305, 1525, 7625
Least Common Multiple of 7619 and 7625 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7619 and 7625, than apply into the LCM equation.
GCF(7619,7625) = 1
LCM(7619,7625) = ( 7619 × 7625) / 1
LCM(7619,7625) = 58094875 / 1
LCM(7619,7625) = 58094875
Properties of LCM 7619 and 7625
(i) The LCM of 7625 and 7619 is associative
LCM of 7619 and 7625 = LCM of 7625 and 7619
Related Least Common Multiples of 7619
Related Least Common Multiples of 7625
Frequently Asked Questions on LCM of 7619 and 7625
1. What is the LCM of 7619 and 7625?
Answer: LCM of 7619 and 7625 is 58094875.
2. What are the Factors of 7619?
Answer: Factors of 7619 are 1, 19, 401, 7619. There are 4 integers that are factors of 7619. The greatest factor of 7619 is 7619.
3. 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.
4. How to Find the LCM of 7619 and 7625?
Answer:
Least Common Multiple of 7619 and 7625 = 58094875
Step 1: Find the prime factorization of 7619
7619 = 19 x 401
Step 2: Find the prime factorization of 7625
7625 = 5 x 5 x 5 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 58094875 = 5 x 5 x 5 x 19 x 61 x 401
Step 4: Therefore, the least common multiple of 7619 and 7625 is 58094875.