Least Common Multiple of 625 and 629
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 625 and 629 the smallest integer that is 393125 that is divisible by both numbers.
Least Common Multiple (LCM) of 625 and 629 is 393125.
LCM(625,629) = 393125
LCM of 625 and 629
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 625 and 629 by Prime method
- Least Common Multiple of 625 and 629 with GCF Formula
LCM of 625 and 629 is 393125
Least common multiple can be found by multiplying the highest exponent prime factors of 625 and 629. First we will calculate the prime factors of 625 and 629.
Prime Factorization of 625
| 5 | 625 |
| 5 | 125 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factors of 625 are 5. Prime factorization of 625 in exponential form is:
625 = 54
Prime Factorization of 629
| 17 | 629 |
| 37 | 37 |
| 1 |
Prime factors of 629 are 17,37. Prime factorization of 629 in exponential form is:
629 = 171×371
Now multiplying the highest exponent prime factors to calculate the LCM of 625 and 629.
LCM(625,629) = 54×171×371
LCM(625,629) = 393125
Factors of 625
List of positive integer factors of 625 that divides 625 without a remainder.
1, 5, 25, 125, 625
Factors of 629
List of positive integer factors of 629 that divides 629 without a remainder.
1, 17, 37, 629
Least Common Multiple of 625 and 629 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 625 and 629, than apply into the LCM equation.
GCF(625,629) = 1
LCM(625,629) = ( 625 × 629) / 1
LCM(625,629) = 393125 / 1
LCM(625,629) = 393125
Properties of LCM 625 and 629
(i) The LCM of 629 and 625 is associative
LCM of 625 and 629 = LCM of 629 and 625
Related Least Common Multiples of 625
Related Least Common Multiples of 629
Frequently Asked Questions on LCM of 625 and 629
1. What is the LCM of 625 and 629?
Answer: LCM of 625 and 629 is 393125.
2. What are the Factors of 625?
Answer: Factors of 625 are 1, 5, 25, 125, 625. There are 5 integers that are factors of 625. The greatest factor of 625 is 625.
3. What are the Factors of 629?
Answer: Factors of 629 are 1, 17, 37, 629. There are 4 integers that are factors of 629. The greatest factor of 629 is 629.
4. How to Find the LCM of 625 and 629?
Answer:
Least Common Multiple of 625 and 629 = 393125
Step 1: Find the prime factorization of 625
625 = 5 x 5 x 5 x 5
Step 2: Find the prime factorization of 629
629 = 17 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 393125 = 5 x 5 x 5 x 5 x 17 x 37
Step 4: Therefore, the least common multiple of 625 and 629 is 393125.
