Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8263 and 8269 the smallest integer that is 68326747 that is divisible by both numbers.
Least Common Multiple (LCM) of 8263 and 8269 is 68326747.
LCM(8263,8269) = 68326747
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 8263 and 8269. First we will calculate the prime factors of 8263 and 8269.
Prime Factorization of 8263
8263 | 8263 |
1 |
Prime factors of 8263 are 8263. Prime factorization of 8263 in exponential form is:
8263 = 82631
Prime Factorization of 8269
8269 | 8269 |
1 |
Prime factors of 8269 are 8269. Prime factorization of 8269 in exponential form is:
8269 = 82691
Now multiplying the highest exponent prime factors to calculate the LCM of 8263 and 8269.
LCM(8263,8269) = 82631×82691
LCM(8263,8269) = 68326747
Factors of 8263
List of positive integer factors of 8263 that divides 8263 without a remainder.
1, 8263
Factors of 8269
List of positive integer factors of 8269 that divides 8269 without a remainder.
1, 8269
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8263 and 8269, than apply into the LCM equation.
GCF(8263,8269) = 1
LCM(8263,8269) = ( 8263 × 8269) / 1
LCM(8263,8269) = 68326747 / 1
LCM(8263,8269) = 68326747
(i) The LCM of 8269 and 8263 is associative
LCM of 8263 and 8269 = LCM of 8269 and 8263
1. What is the LCM of 8263 and 8269?
Answer: LCM of 8263 and 8269 is 68326747.
2. What are the Factors of 8263?
Answer: Factors of 8263 are 1, 8263. There are 2 integers that are factors of 8263. The greatest factor of 8263 is 8263.
3. 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.
4. How to Find the LCM of 8263 and 8269?
Answer:
Least Common Multiple of 8263 and 8269 = 68326747
Step 1: Find the prime factorization of 8263
8263 = 8263
Step 2: Find the prime factorization of 8269
8269 = 8269
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 68326747 = 8263 x 8269
Step 4: Therefore, the least common multiple of 8263 and 8269 is 68326747.