Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8269 and 8273 the smallest integer that is 68409437 that is divisible by both numbers.
Least Common Multiple (LCM) of 8269 and 8273 is 68409437.
LCM(8269,8273) = 68409437
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 8269 and 8273. First we will calculate the prime factors of 8269 and 8273.
Prime Factorization of 8269
8269 | 8269 |
1 |
Prime factors of 8269 are 8269. Prime factorization of 8269 in exponential form is:
8269 = 82691
Prime Factorization of 8273
8273 | 8273 |
1 |
Prime factors of 8273 are 8273. Prime factorization of 8273 in exponential form is:
8273 = 82731
Now multiplying the highest exponent prime factors to calculate the LCM of 8269 and 8273.
LCM(8269,8273) = 82691×82731
LCM(8269,8273) = 68409437
Factors of 8269
List of positive integer factors of 8269 that divides 8269 without a remainder.
1, 8269
Factors of 8273
List of positive integer factors of 8273 that divides 8273 without a remainder.
1, 8273
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8269 and 8273, than apply into the LCM equation.
GCF(8269,8273) = 1
LCM(8269,8273) = ( 8269 × 8273) / 1
LCM(8269,8273) = 68409437 / 1
LCM(8269,8273) = 68409437
(i) The LCM of 8273 and 8269 is associative
LCM of 8269 and 8273 = LCM of 8273 and 8269
1. What is the LCM of 8269 and 8273?
Answer: LCM of 8269 and 8273 is 68409437.
2. What are the Factors of 8269?
Answer: Factors of 8269 are 1, 8269. There are 2 integers that are factors of 8269. The greatest factor of 8269 is 8269.
3. What are the Factors of 8273?
Answer: Factors of 8273 are 1, 8273. There are 2 integers that are factors of 8273. The greatest factor of 8273 is 8273.
4. How to Find the LCM of 8269 and 8273?
Answer:
Least Common Multiple of 8269 and 8273 = 68409437
Step 1: Find the prime factorization of 8269
8269 = 8269
Step 2: Find the prime factorization of 8273
8273 = 8273
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 68409437 = 8269 x 8273
Step 4: Therefore, the least common multiple of 8269 and 8273 is 68409437.