Least Common Multiple of 9617 and 9625
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9617 and 9625 the smallest integer that is 92563625 that is divisible by both numbers.
Least Common Multiple (LCM) of 9617 and 9625 is 92563625.
LCM(9617,9625) = 92563625
LCM of 9617 and 9625
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9617 and 9625 by Prime method
- Least Common Multiple of 9617 and 9625 with GCF Formula
LCM of 9617 and 9625 is 92563625
Least common multiple can be found by multiplying the highest exponent prime factors of 9617 and 9625. First we will calculate the prime factors of 9617 and 9625.
Prime Factorization of 9617
| 59 | 9617 |
| 163 | 163 |
| 1 |
Prime factors of 9617 are 59,163. Prime factorization of 9617 in exponential form is:
9617 = 591×1631
Prime Factorization of 9625
| 5 | 9625 |
| 5 | 1925 |
| 5 | 385 |
| 7 | 77 |
| 11 | 11 |
| 1 |
Prime factors of 9625 are 5, 7,11. Prime factorization of 9625 in exponential form is:
9625 = 53×71×111
Now multiplying the highest exponent prime factors to calculate the LCM of 9617 and 9625.
LCM(9617,9625) = 53×71×111×591×1631
LCM(9617,9625) = 92563625
Factors of 9617
List of positive integer factors of 9617 that divides 9617 without a remainder.
1, 59, 163, 9617
Factors of 9625
List of positive integer factors of 9625 that divides 9625 without a remainder.
1, 5, 7, 11, 25, 35, 55, 77, 125, 175, 275, 385, 875, 1375, 1925, 9625
Least Common Multiple of 9617 and 9625 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9617 and 9625, than apply into the LCM equation.
GCF(9617,9625) = 1
LCM(9617,9625) = ( 9617 × 9625) / 1
LCM(9617,9625) = 92563625 / 1
LCM(9617,9625) = 92563625
Properties of LCM 9617 and 9625
(i) The LCM of 9625 and 9617 is associative
LCM of 9617 and 9625 = LCM of 9625 and 9617
Related Least Common Multiples of 9617
Related Least Common Multiples of 9625
Frequently Asked Questions on LCM of 9617 and 9625
1. What is the LCM of 9617 and 9625?
Answer: LCM of 9617 and 9625 is 92563625.
2. What are the Factors of 9617?
Answer: Factors of 9617 are 1, 59, 163, 9617. There are 4 integers that are factors of 9617. The greatest factor of 9617 is 9617.
3. What are the Factors of 9625?
Answer: Factors of 9625 are 1, 5, 7, 11, 25, 35, 55, 77, 125, 175, 275, 385, 875, 1375, 1925, 9625. There are 16 integers that are factors of 9625. The greatest factor of 9625 is 9625.
4. How to Find the LCM of 9617 and 9625?
Answer:
Least Common Multiple of 9617 and 9625 = 92563625
Step 1: Find the prime factorization of 9617
9617 = 59 x 163
Step 2: Find the prime factorization of 9625
9625 = 5 x 5 x 5 x 7 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 92563625 = 5 x 5 x 5 x 7 x 11 x 59 x 163
Step 4: Therefore, the least common multiple of 9617 and 9625 is 92563625.