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 1627 the smallest integer that is 2643875 that is divisible by both numbers.
Least Common Multiple (LCM) of 1625 and 1627 is 2643875.
LCM(1625,1627) = 2643875
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 1625 and 1627. First we will calculate the prime factors of 1625 and 1627.
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 1627
1627 | 1627 |
1 |
Prime factors of 1627 are 1627. Prime factorization of 1627 in exponential form is:
1627 = 16271
Now multiplying the highest exponent prime factors to calculate the LCM of 1625 and 1627.
LCM(1625,1627) = 53×131×16271
LCM(1625,1627) = 2643875
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 1627
List of positive integer factors of 1627 that divides 1627 without a remainder.
1, 1627
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1625 and 1627, than apply into the LCM equation.
GCF(1625,1627) = 1
LCM(1625,1627) = ( 1625 × 1627) / 1
LCM(1625,1627) = 2643875 / 1
LCM(1625,1627) = 2643875
(i) The LCM of 1627 and 1625 is associative
LCM of 1625 and 1627 = LCM of 1627 and 1625
1. What is the LCM of 1625 and 1627?
Answer: LCM of 1625 and 1627 is 2643875.
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 1627?
Answer: Factors of 1627 are 1, 1627. There are 2 integers that are factors of 1627. The greatest factor of 1627 is 1627.
4. How to Find the LCM of 1625 and 1627?
Answer:
Least Common Multiple of 1625 and 1627 = 2643875
Step 1: Find the prime factorization of 1625
1625 = 5 x 5 x 5 x 13
Step 2: Find the prime factorization of 1627
1627 = 1627
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2643875 = 5 x 5 x 5 x 13 x 1627
Step 4: Therefore, the least common multiple of 1625 and 1627 is 2643875.