Least Common Multiple of 9503 and 9507
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9503 and 9507 the smallest integer that is 90345021 that is divisible by both numbers.
Least Common Multiple (LCM) of 9503 and 9507 is 90345021.
LCM(9503,9507) = 90345021
LCM of 9503 and 9507
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9503 and 9507 by Prime method
- Least Common Multiple of 9503 and 9507 with GCF Formula
LCM of 9503 and 9507 is 90345021
Least common multiple can be found by multiplying the highest exponent prime factors of 9503 and 9507. First we will calculate the prime factors of 9503 and 9507.
Prime Factorization of 9503
| 13 | 9503 |
| 17 | 731 |
| 43 | 43 |
| 1 |
Prime factors of 9503 are 13, 17,43. Prime factorization of 9503 in exponential form is:
9503 = 131×171×431
Prime Factorization of 9507
| 3 | 9507 |
| 3169 | 3169 |
| 1 |
Prime factors of 9507 are 3,3169. Prime factorization of 9507 in exponential form is:
9507 = 31×31691
Now multiplying the highest exponent prime factors to calculate the LCM of 9503 and 9507.
LCM(9503,9507) = 31×131×171×431×31691
LCM(9503,9507) = 90345021
Factors of 9503
List of positive integer factors of 9503 that divides 9503 without a remainder.
1, 13, 17, 43, 221, 559, 731, 9503
Factors of 9507
List of positive integer factors of 9507 that divides 9507 without a remainder.
1, 3, 3169, 9507
Least Common Multiple of 9503 and 9507 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9503 and 9507, than apply into the LCM equation.
GCF(9503,9507) = 1
LCM(9503,9507) = ( 9503 × 9507) / 1
LCM(9503,9507) = 90345021 / 1
LCM(9503,9507) = 90345021
Properties of LCM 9503 and 9507
(i) The LCM of 9507 and 9503 is associative
LCM of 9503 and 9507 = LCM of 9507 and 9503
Related Least Common Multiples of 9503
Related Least Common Multiples of 9507
Frequently Asked Questions on LCM of 9503 and 9507
1. What is the LCM of 9503 and 9507?
Answer: LCM of 9503 and 9507 is 90345021.
2. What are the Factors of 9503?
Answer: Factors of 9503 are 1, 13, 17, 43, 221, 559, 731, 9503. There are 8 integers that are factors of 9503. The greatest factor of 9503 is 9503.
3. What are the Factors of 9507?
Answer: Factors of 9507 are 1, 3, 3169, 9507. There are 4 integers that are factors of 9507. The greatest factor of 9507 is 9507.
4. How to Find the LCM of 9503 and 9507?
Answer:
Least Common Multiple of 9503 and 9507 = 90345021
Step 1: Find the prime factorization of 9503
9503 = 13 x 17 x 43
Step 2: Find the prime factorization of 9507
9507 = 3 x 3169
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 90345021 = 3 x 13 x 17 x 43 x 3169
Step 4: Therefore, the least common multiple of 9503 and 9507 is 90345021.