Least Common Multiple of 1625 and 1629
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1625 and 1629 the smallest integer that is 2647125 that is divisible by both numbers.
Least Common Multiple (LCM) of 1625 and 1629 is 2647125.
LCM(1625,1629) = 2647125
LCM of 1625 and 1629
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1625 and 1629 by Prime method
- Least Common Multiple of 1625 and 1629 with GCF Formula
LCM of 1625 and 1629 is 2647125
Least common multiple can be found by multiplying the highest exponent prime factors of 1625 and 1629. First we will calculate the prime factors of 1625 and 1629.
Prime Factorization of 1625
| 5 | 1625 |
| 5 | 325 |
| 5 | 65 |
| 13 | 13 |
| 1 |
Prime factors of 1625 are 5,13. Prime factorization of 1625 in exponential form is:
1625 = 53×131
Prime Factorization of 1629
| 3 | 1629 |
| 3 | 543 |
| 181 | 181 |
| 1 |
Prime factors of 1629 are 3,181. Prime factorization of 1629 in exponential form is:
1629 = 32×1811
Now multiplying the highest exponent prime factors to calculate the LCM of 1625 and 1629.
LCM(1625,1629) = 32×53×131×1811
LCM(1625,1629) = 2647125
Factors of 1625
List of positive integer factors of 1625 that divides 1625 without a remainder.
1, 5, 13, 25, 65, 125, 325, 1625
Factors of 1629
List of positive integer factors of 1629 that divides 1629 without a remainder.
1, 3, 9, 181, 543, 1629
Least Common Multiple of 1625 and 1629 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1625 and 1629, than apply into the LCM equation.
GCF(1625,1629) = 1
LCM(1625,1629) = ( 1625 × 1629) / 1
LCM(1625,1629) = 2647125 / 1
LCM(1625,1629) = 2647125
Properties of LCM 1625 and 1629
(i) The LCM of 1629 and 1625 is associative
LCM of 1625 and 1629 = LCM of 1629 and 1625
Related Least Common Multiples of 1625
Related Least Common Multiples of 1629
Frequently Asked Questions on LCM of 1625 and 1629
1. What is the LCM of 1625 and 1629?
Answer: LCM of 1625 and 1629 is 2647125.
2. What are the Factors of 1625?
Answer: Factors of 1625 are 1, 5, 13, 25, 65, 125, 325, 1625. There are 8 integers that are factors of 1625. The greatest factor of 1625 is 1625.
3. What are the Factors of 1629?
Answer: Factors of 1629 are 1, 3, 9, 181, 543, 1629. There are 6 integers that are factors of 1629. The greatest factor of 1629 is 1629.
4. How to Find the LCM of 1625 and 1629?
Answer:
Least Common Multiple of 1625 and 1629 = 2647125
Step 1: Find the prime factorization of 1625
1625 = 5 x 5 x 5 x 13
Step 2: Find the prime factorization of 1629
1629 = 3 x 3 x 181
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2647125 = 3 x 3 x 5 x 5 x 5 x 13 x 181
Step 4: Therefore, the least common multiple of 1625 and 1629 is 2647125.