Least Common Multiple of 8497 and 8503
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8497 and 8503 the smallest integer that is 72249991 that is divisible by both numbers.
Least Common Multiple (LCM) of 8497 and 8503 is 72249991.
LCM(8497,8503) = 72249991
LCM of 8497 and 8503
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8497 and 8503 by Prime method
- Least Common Multiple of 8497 and 8503 with GCF Formula
LCM of 8497 and 8503 is 72249991
Least common multiple can be found by multiplying the highest exponent prime factors of 8497 and 8503. First we will calculate the prime factors of 8497 and 8503.
Prime Factorization of 8497
| 29 | 8497 |
| 293 | 293 |
| 1 |
Prime factors of 8497 are 29,293. Prime factorization of 8497 in exponential form is:
8497 = 291×2931
Prime Factorization of 8503
| 11 | 8503 |
| 773 | 773 |
| 1 |
Prime factors of 8503 are 11,773. Prime factorization of 8503 in exponential form is:
8503 = 111×7731
Now multiplying the highest exponent prime factors to calculate the LCM of 8497 and 8503.
LCM(8497,8503) = 111×291×2931×7731
LCM(8497,8503) = 72249991
Factors of 8497
List of positive integer factors of 8497 that divides 8497 without a remainder.
1, 29, 293, 8497
Factors of 8503
List of positive integer factors of 8503 that divides 8503 without a remainder.
1, 11, 773, 8503
Least Common Multiple of 8497 and 8503 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8497 and 8503, than apply into the LCM equation.
GCF(8497,8503) = 1
LCM(8497,8503) = ( 8497 × 8503) / 1
LCM(8497,8503) = 72249991 / 1
LCM(8497,8503) = 72249991
Properties of LCM 8497 and 8503
(i) The LCM of 8503 and 8497 is associative
LCM of 8497 and 8503 = LCM of 8503 and 8497
Related Least Common Multiples of 8497
Related Least Common Multiples of 8503
Frequently Asked Questions on LCM of 8497 and 8503
1. What is the LCM of 8497 and 8503?
Answer: LCM of 8497 and 8503 is 72249991.
2. What are the Factors of 8497?
Answer: Factors of 8497 are 1, 29, 293, 8497. There are 4 integers that are factors of 8497. The greatest factor of 8497 is 8497.
3. What are the Factors of 8503?
Answer: Factors of 8503 are 1, 11, 773, 8503. There are 4 integers that are factors of 8503. The greatest factor of 8503 is 8503.
4. How to Find the LCM of 8497 and 8503?
Answer:
Least Common Multiple of 8497 and 8503 = 72249991
Step 1: Find the prime factorization of 8497
8497 = 29 x 293
Step 2: Find the prime factorization of 8503
8503 = 11 x 773
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 72249991 = 11 x 29 x 293 x 773
Step 4: Therefore, the least common multiple of 8497 and 8503 is 72249991.