Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8491 and 8497 the smallest integer that is 72148027 that is divisible by both numbers.
Least Common Multiple (LCM) of 8491 and 8497 is 72148027.
LCM(8491,8497) = 72148027
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 8491 and 8497. First we will calculate the prime factors of 8491 and 8497.
Prime Factorization of 8491
7 | 8491 |
1213 | 1213 |
1 |
Prime factors of 8491 are 7,1213. Prime factorization of 8491 in exponential form is:
8491 = 71×12131
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8491 and 8497.
LCM(8491,8497) = 71×291×2931×12131
LCM(8491,8497) = 72148027
Factors of 8491
List of positive integer factors of 8491 that divides 8491 without a remainder.
1, 7, 1213, 8491
Factors of 8497
List of positive integer factors of 8497 that divides 8497 without a remainder.
1, 29, 293, 8497
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8491 and 8497, than apply into the LCM equation.
GCF(8491,8497) = 1
LCM(8491,8497) = ( 8491 × 8497) / 1
LCM(8491,8497) = 72148027 / 1
LCM(8491,8497) = 72148027
(i) The LCM of 8497 and 8491 is associative
LCM of 8491 and 8497 = LCM of 8497 and 8491
1. What is the LCM of 8491 and 8497?
Answer: LCM of 8491 and 8497 is 72148027.
2. What are the Factors of 8491?
Answer: Factors of 8491 are 1, 7, 1213, 8491. There are 4 integers that are factors of 8491. The greatest factor of 8491 is 8491.
3. 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.
4. How to Find the LCM of 8491 and 8497?
Answer:
Least Common Multiple of 8491 and 8497 = 72148027
Step 1: Find the prime factorization of 8491
8491 = 7 x 1213
Step 2: Find the prime factorization of 8497
8497 = 29 x 293
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 72148027 = 7 x 29 x 293 x 1213
Step 4: Therefore, the least common multiple of 8491 and 8497 is 72148027.