Least Common Multiple of 9609 and 9617
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9609 and 9617 the smallest integer that is 92409753 that is divisible by both numbers.
Least Common Multiple (LCM) of 9609 and 9617 is 92409753.
LCM(9609,9617) = 92409753
LCM of 9609 and 9617
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9609 and 9617 by Prime method
- Least Common Multiple of 9609 and 9617 with GCF Formula
LCM of 9609 and 9617 is 92409753
Least common multiple can be found by multiplying the highest exponent prime factors of 9609 and 9617. First we will calculate the prime factors of 9609 and 9617.
Prime Factorization of 9609
| 3 | 9609 |
| 3203 | 3203 |
| 1 |
Prime factors of 9609 are 3,3203. Prime factorization of 9609 in exponential form is:
9609 = 31×32031
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
Now multiplying the highest exponent prime factors to calculate the LCM of 9609 and 9617.
LCM(9609,9617) = 31×591×1631×32031
LCM(9609,9617) = 92409753
Factors of 9609
List of positive integer factors of 9609 that divides 9609 without a remainder.
1, 3, 3203, 9609
Factors of 9617
List of positive integer factors of 9617 that divides 9617 without a remainder.
1, 59, 163, 9617
Least Common Multiple of 9609 and 9617 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9609 and 9617, than apply into the LCM equation.
GCF(9609,9617) = 1
LCM(9609,9617) = ( 9609 × 9617) / 1
LCM(9609,9617) = 92409753 / 1
LCM(9609,9617) = 92409753
Properties of LCM 9609 and 9617
(i) The LCM of 9617 and 9609 is associative
LCM of 9609 and 9617 = LCM of 9617 and 9609
Related Least Common Multiples of 9609
Related Least Common Multiples of 9617
Frequently Asked Questions on LCM of 9609 and 9617
1. What is the LCM of 9609 and 9617?
Answer: LCM of 9609 and 9617 is 92409753.
2. What are the Factors of 9609?
Answer: Factors of 9609 are 1, 3, 3203, 9609. There are 4 integers that are factors of 9609. The greatest factor of 9609 is 9609.
3. 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.
4. How to Find the LCM of 9609 and 9617?
Answer:
Least Common Multiple of 9609 and 9617 = 92409753
Step 1: Find the prime factorization of 9609
9609 = 3 x 3203
Step 2: Find the prime factorization of 9617
9617 = 59 x 163
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 92409753 = 3 x 59 x 163 x 3203
Step 4: Therefore, the least common multiple of 9609 and 9617 is 92409753.