Least Common Multiple of 8617 and 8625
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8617 and 8625 the smallest integer that is 74321625 that is divisible by both numbers.
Least Common Multiple (LCM) of 8617 and 8625 is 74321625.
LCM(8617,8625) = 74321625
LCM of 8617 and 8625
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8617 and 8625 by Prime method
- Least Common Multiple of 8617 and 8625 with GCF Formula
LCM of 8617 and 8625 is 74321625
Least common multiple can be found by multiplying the highest exponent prime factors of 8617 and 8625. First we will calculate the prime factors of 8617 and 8625.
Prime Factorization of 8617
| 7 | 8617 |
| 1231 | 1231 |
| 1 |
Prime factors of 8617 are 7,1231. Prime factorization of 8617 in exponential form is:
8617 = 71×12311
Prime Factorization of 8625
| 3 | 8625 |
| 5 | 2875 |
| 5 | 575 |
| 5 | 115 |
| 23 | 23 |
| 1 |
Prime factors of 8625 are 3, 5,23. Prime factorization of 8625 in exponential form is:
8625 = 31×53×231
Now multiplying the highest exponent prime factors to calculate the LCM of 8617 and 8625.
LCM(8617,8625) = 31×53×71×231×12311
LCM(8617,8625) = 74321625
Factors of 8617
List of positive integer factors of 8617 that divides 8617 without a remainder.
1, 7, 1231, 8617
Factors of 8625
List of positive integer factors of 8625 that divides 8625 without a remainder.
1, 3, 5, 15, 23, 25, 69, 75, 115, 125, 345, 375, 575, 1725, 2875, 8625
Least Common Multiple of 8617 and 8625 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8617 and 8625, than apply into the LCM equation.
GCF(8617,8625) = 1
LCM(8617,8625) = ( 8617 × 8625) / 1
LCM(8617,8625) = 74321625 / 1
LCM(8617,8625) = 74321625
Properties of LCM 8617 and 8625
(i) The LCM of 8625 and 8617 is associative
LCM of 8617 and 8625 = LCM of 8625 and 8617
Related Least Common Multiples of 8617
Related Least Common Multiples of 8625
Frequently Asked Questions on LCM of 8617 and 8625
1. What is the LCM of 8617 and 8625?
Answer: LCM of 8617 and 8625 is 74321625.
2. What are the Factors of 8617?
Answer: Factors of 8617 are 1, 7, 1231, 8617. There are 4 integers that are factors of 8617. The greatest factor of 8617 is 8617.
3. What are the Factors of 8625?
Answer: Factors of 8625 are 1, 3, 5, 15, 23, 25, 69, 75, 115, 125, 345, 375, 575, 1725, 2875, 8625. There are 16 integers that are factors of 8625. The greatest factor of 8625 is 8625.
4. How to Find the LCM of 8617 and 8625?
Answer:
Least Common Multiple of 8617 and 8625 = 74321625
Step 1: Find the prime factorization of 8617
8617 = 7 x 1231
Step 2: Find the prime factorization of 8625
8625 = 3 x 5 x 5 x 5 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 74321625 = 3 x 5 x 5 x 5 x 7 x 23 x 1231
Step 4: Therefore, the least common multiple of 8617 and 8625 is 74321625.