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 8275 the smallest integer that is 68425975 that is divisible by both numbers.
Least Common Multiple (LCM) of 8269 and 8275 is 68425975.
LCM(8269,8275) = 68425975
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 8275. First we will calculate the prime factors of 8269 and 8275.
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 8275
5 | 8275 |
5 | 1655 |
331 | 331 |
1 |
Prime factors of 8275 are 5,331. Prime factorization of 8275 in exponential form is:
8275 = 52×3311
Now multiplying the highest exponent prime factors to calculate the LCM of 8269 and 8275.
LCM(8269,8275) = 52×3311×82691
LCM(8269,8275) = 68425975
Factors of 8269
List of positive integer factors of 8269 that divides 8269 without a remainder.
1, 8269
Factors of 8275
List of positive integer factors of 8275 that divides 8275 without a remainder.
1, 5, 25, 331, 1655, 8275
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8269 and 8275, than apply into the LCM equation.
GCF(8269,8275) = 1
LCM(8269,8275) = ( 8269 × 8275) / 1
LCM(8269,8275) = 68425975 / 1
LCM(8269,8275) = 68425975
(i) The LCM of 8275 and 8269 is associative
LCM of 8269 and 8275 = LCM of 8275 and 8269
1. What is the LCM of 8269 and 8275?
Answer: LCM of 8269 and 8275 is 68425975.
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 8275?
Answer: Factors of 8275 are 1, 5, 25, 331, 1655, 8275. There are 6 integers that are factors of 8275. The greatest factor of 8275 is 8275.
4. How to Find the LCM of 8269 and 8275?
Answer:
Least Common Multiple of 8269 and 8275 = 68425975
Step 1: Find the prime factorization of 8269
8269 = 8269
Step 2: Find the prime factorization of 8275
8275 = 5 x 5 x 331
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 68425975 = 5 x 5 x 331 x 8269
Step 4: Therefore, the least common multiple of 8269 and 8275 is 68425975.