Least Common Multiple of 9509 and 9515
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9509 and 9515 the smallest integer that is 90478135 that is divisible by both numbers.
Least Common Multiple (LCM) of 9509 and 9515 is 90478135.
LCM(9509,9515) = 90478135
LCM of 9509 and 9515
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9509 and 9515 by Prime method
- Least Common Multiple of 9509 and 9515 with GCF Formula
LCM of 9509 and 9515 is 90478135
Least common multiple can be found by multiplying the highest exponent prime factors of 9509 and 9515. First we will calculate the prime factors of 9509 and 9515.
Prime Factorization of 9509
| 37 | 9509 |
| 257 | 257 |
| 1 |
Prime factors of 9509 are 37,257. Prime factorization of 9509 in exponential form is:
9509 = 371×2571
Prime Factorization of 9515
| 5 | 9515 |
| 11 | 1903 |
| 173 | 173 |
| 1 |
Prime factors of 9515 are 5, 11,173. Prime factorization of 9515 in exponential form is:
9515 = 51×111×1731
Now multiplying the highest exponent prime factors to calculate the LCM of 9509 and 9515.
LCM(9509,9515) = 51×111×371×1731×2571
LCM(9509,9515) = 90478135
Factors of 9509
List of positive integer factors of 9509 that divides 9509 without a remainder.
1, 37, 257, 9509
Factors of 9515
List of positive integer factors of 9515 that divides 9515 without a remainder.
1, 5, 11, 55, 173, 865, 1903, 9515
Least Common Multiple of 9509 and 9515 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9509 and 9515, than apply into the LCM equation.
GCF(9509,9515) = 1
LCM(9509,9515) = ( 9509 × 9515) / 1
LCM(9509,9515) = 90478135 / 1
LCM(9509,9515) = 90478135
Properties of LCM 9509 and 9515
(i) The LCM of 9515 and 9509 is associative
LCM of 9509 and 9515 = LCM of 9515 and 9509
Related Least Common Multiples of 9509
Related Least Common Multiples of 9515
Frequently Asked Questions on LCM of 9509 and 9515
1. What is the LCM of 9509 and 9515?
Answer: LCM of 9509 and 9515 is 90478135.
2. What are the Factors of 9509?
Answer: Factors of 9509 are 1, 37, 257, 9509. There are 4 integers that are factors of 9509. The greatest factor of 9509 is 9509.
3. What are the Factors of 9515?
Answer: Factors of 9515 are 1, 5, 11, 55, 173, 865, 1903, 9515. There are 8 integers that are factors of 9515. The greatest factor of 9515 is 9515.
4. How to Find the LCM of 9509 and 9515?
Answer:
Least Common Multiple of 9509 and 9515 = 90478135
Step 1: Find the prime factorization of 9509
9509 = 37 x 257
Step 2: Find the prime factorization of 9515
9515 = 5 x 11 x 173
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 90478135 = 5 x 11 x 37 x 173 x 257
Step 4: Therefore, the least common multiple of 9509 and 9515 is 90478135.