Least Common Multiple of 9517 and 9519
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9517 and 9519 the smallest integer that is 90592323 that is divisible by both numbers.
Least Common Multiple (LCM) of 9517 and 9519 is 90592323.
LCM(9517,9519) = 90592323
LCM of 9517 and 9519
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9517 and 9519 by Prime method
- Least Common Multiple of 9517 and 9519 with GCF Formula
LCM of 9517 and 9519 is 90592323
Least common multiple can be found by multiplying the highest exponent prime factors of 9517 and 9519. First we will calculate the prime factors of 9517 and 9519.
Prime Factorization of 9517
| 31 | 9517 |
| 307 | 307 |
| 1 |
Prime factors of 9517 are 31,307. Prime factorization of 9517 in exponential form is:
9517 = 311×3071
Prime Factorization of 9519
| 3 | 9519 |
| 19 | 3173 |
| 167 | 167 |
| 1 |
Prime factors of 9519 are 3, 19,167. Prime factorization of 9519 in exponential form is:
9519 = 31×191×1671
Now multiplying the highest exponent prime factors to calculate the LCM of 9517 and 9519.
LCM(9517,9519) = 31×191×311×1671×3071
LCM(9517,9519) = 90592323
Factors of 9517
List of positive integer factors of 9517 that divides 9517 without a remainder.
1, 31, 307, 9517
Factors of 9519
List of positive integer factors of 9519 that divides 9519 without a remainder.
1, 3, 19, 57, 167, 501, 3173, 9519
Least Common Multiple of 9517 and 9519 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9517 and 9519, than apply into the LCM equation.
GCF(9517,9519) = 1
LCM(9517,9519) = ( 9517 × 9519) / 1
LCM(9517,9519) = 90592323 / 1
LCM(9517,9519) = 90592323
Properties of LCM 9517 and 9519
(i) The LCM of 9519 and 9517 is associative
LCM of 9517 and 9519 = LCM of 9519 and 9517
Related Least Common Multiples of 9517
Related Least Common Multiples of 9519
Frequently Asked Questions on LCM of 9517 and 9519
1. What is the LCM of 9517 and 9519?
Answer: LCM of 9517 and 9519 is 90592323.
2. What are the Factors of 9517?
Answer: Factors of 9517 are 1, 31, 307, 9517. There are 4 integers that are factors of 9517. The greatest factor of 9517 is 9517.
3. What are the Factors of 9519?
Answer: Factors of 9519 are 1, 3, 19, 57, 167, 501, 3173, 9519. There are 8 integers that are factors of 9519. The greatest factor of 9519 is 9519.
4. How to Find the LCM of 9517 and 9519?
Answer:
Least Common Multiple of 9517 and 9519 = 90592323
Step 1: Find the prime factorization of 9517
9517 = 31 x 307
Step 2: Find the prime factorization of 9519
9519 = 3 x 19 x 167
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 90592323 = 3 x 19 x 31 x 167 x 307
Step 4: Therefore, the least common multiple of 9517 and 9519 is 90592323.