Least Common Multiple of 8497 and 8502
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 8502 the smallest integer that is 72241494 that is divisible by both numbers.
Least Common Multiple (LCM) of 8497 and 8502 is 72241494.
LCM(8497,8502) = 72241494
LCM of 8497 and 8502
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8497 and 8502 by Prime method
- Least Common Multiple of 8497 and 8502 with GCF Formula
LCM of 8497 and 8502 is 72241494
Least common multiple can be found by multiplying the highest exponent prime factors of 8497 and 8502. First we will calculate the prime factors of 8497 and 8502.
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 8502
| 2 | 8502 |
| 3 | 4251 |
| 13 | 1417 |
| 109 | 109 |
| 1 |
Prime factors of 8502 are 2, 3, 13,109. Prime factorization of 8502 in exponential form is:
8502 = 21×31×131×1091
Now multiplying the highest exponent prime factors to calculate the LCM of 8497 and 8502.
LCM(8497,8502) = 21×31×131×291×1091×2931
LCM(8497,8502) = 72241494
Factors of 8497
List of positive integer factors of 8497 that divides 8497 without a remainder.
1, 29, 293, 8497
Factors of 8502
List of positive integer factors of 8502 that divides 8502 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78, 109, 218, 327, 654, 1417, 2834, 4251, 8502
Least Common Multiple of 8497 and 8502 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 8502, than apply into the LCM equation.
GCF(8497,8502) = 1
LCM(8497,8502) = ( 8497 × 8502) / 1
LCM(8497,8502) = 72241494 / 1
LCM(8497,8502) = 72241494
Properties of LCM 8497 and 8502
(i) The LCM of 8502 and 8497 is associative
LCM of 8497 and 8502 = LCM of 8502 and 8497
Related Least Common Multiples of 8497
Related Least Common Multiples of 8502
Frequently Asked Questions on LCM of 8497 and 8502
1. What is the LCM of 8497 and 8502?
Answer: LCM of 8497 and 8502 is 72241494.
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 8502?
Answer: Factors of 8502 are 1, 2, 3, 6, 13, 26, 39, 78, 109, 218, 327, 654, 1417, 2834, 4251, 8502. There are 16 integers that are factors of 8502. The greatest factor of 8502 is 8502.
4. How to Find the LCM of 8497 and 8502?
Answer:
Least Common Multiple of 8497 and 8502 = 72241494
Step 1: Find the prime factorization of 8497
8497 = 29 x 293
Step 2: Find the prime factorization of 8502
8502 = 2 x 3 x 13 x 109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 72241494 = 2 x 3 x 13 x 29 x 109 x 293
Step 4: Therefore, the least common multiple of 8497 and 8502 is 72241494.