Least Common Multiple of 9559 and 9561
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9559 and 9561 the smallest integer that is 91393599 that is divisible by both numbers.
Least Common Multiple (LCM) of 9559 and 9561 is 91393599.
LCM(9559,9561) = 91393599
LCM of 9559 and 9561
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9559 and 9561 by Prime method
- Least Common Multiple of 9559 and 9561 with GCF Formula
LCM of 9559 and 9561 is 91393599
Least common multiple can be found by multiplying the highest exponent prime factors of 9559 and 9561. First we will calculate the prime factors of 9559 and 9561.
Prime Factorization of 9559
| 11 | 9559 |
| 11 | 869 |
| 79 | 79 |
| 1 |
Prime factors of 9559 are 11,79. Prime factorization of 9559 in exponential form is:
9559 = 112×791
Prime Factorization of 9561
| 3 | 9561 |
| 3187 | 3187 |
| 1 |
Prime factors of 9561 are 3,3187. Prime factorization of 9561 in exponential form is:
9561 = 31×31871
Now multiplying the highest exponent prime factors to calculate the LCM of 9559 and 9561.
LCM(9559,9561) = 31×112×791×31871
LCM(9559,9561) = 91393599
Factors of 9559
List of positive integer factors of 9559 that divides 9559 without a remainder.
1, 11, 79, 121, 869, 9559
Factors of 9561
List of positive integer factors of 9561 that divides 9561 without a remainder.
1, 3, 3187, 9561
Least Common Multiple of 9559 and 9561 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9559 and 9561, than apply into the LCM equation.
GCF(9559,9561) = 1
LCM(9559,9561) = ( 9559 × 9561) / 1
LCM(9559,9561) = 91393599 / 1
LCM(9559,9561) = 91393599
Properties of LCM 9559 and 9561
(i) The LCM of 9561 and 9559 is associative
LCM of 9559 and 9561 = LCM of 9561 and 9559
Related Least Common Multiples of 9559
Related Least Common Multiples of 9561
Frequently Asked Questions on LCM of 9559 and 9561
1. What is the LCM of 9559 and 9561?
Answer: LCM of 9559 and 9561 is 91393599.
2. What are the Factors of 9559?
Answer: Factors of 9559 are 1, 11, 79, 121, 869, 9559. There are 6 integers that are factors of 9559. The greatest factor of 9559 is 9559.
3. What are the Factors of 9561?
Answer: Factors of 9561 are 1, 3, 3187, 9561. There are 4 integers that are factors of 9561. The greatest factor of 9561 is 9561.
4. How to Find the LCM of 9559 and 9561?
Answer:
Least Common Multiple of 9559 and 9561 = 91393599
Step 1: Find the prime factorization of 9559
9559 = 11 x 11 x 79
Step 2: Find the prime factorization of 9561
9561 = 3 x 3187
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 91393599 = 3 x 11 x 11 x 79 x 3187
Step 4: Therefore, the least common multiple of 9559 and 9561 is 91393599.