Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8271 and 8276 the smallest integer that is 68450796 that is divisible by both numbers.
Least Common Multiple (LCM) of 8271 and 8276 is 68450796.
LCM(8271,8276) = 68450796
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 8271 and 8276. First we will calculate the prime factors of 8271 and 8276.
Prime Factorization of 8271
3 | 8271 |
3 | 2757 |
919 | 919 |
1 |
Prime factors of 8271 are 3,919. Prime factorization of 8271 in exponential form is:
8271 = 32×9191
Prime Factorization of 8276
2 | 8276 |
2 | 4138 |
2069 | 2069 |
1 |
Prime factors of 8276 are 2,2069. Prime factorization of 8276 in exponential form is:
8276 = 22×20691
Now multiplying the highest exponent prime factors to calculate the LCM of 8271 and 8276.
LCM(8271,8276) = 22×32×9191×20691
LCM(8271,8276) = 68450796
Factors of 8271
List of positive integer factors of 8271 that divides 8271 without a remainder.
1, 3, 9, 919, 2757, 8271
Factors of 8276
List of positive integer factors of 8276 that divides 8276 without a remainder.
1, 2, 4, 2069, 4138, 8276
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8271 and 8276, than apply into the LCM equation.
GCF(8271,8276) = 1
LCM(8271,8276) = ( 8271 × 8276) / 1
LCM(8271,8276) = 68450796 / 1
LCM(8271,8276) = 68450796
(i) The LCM of 8276 and 8271 is associative
LCM of 8271 and 8276 = LCM of 8276 and 8271
1. What is the LCM of 8271 and 8276?
Answer: LCM of 8271 and 8276 is 68450796.
2. What are the Factors of 8271?
Answer: Factors of 8271 are 1, 3, 9, 919, 2757, 8271. There are 6 integers that are factors of 8271. The greatest factor of 8271 is 8271.
3. What are the Factors of 8276?
Answer: Factors of 8276 are 1, 2, 4, 2069, 4138, 8276. There are 6 integers that are factors of 8276. The greatest factor of 8276 is 8276.
4. How to Find the LCM of 8271 and 8276?
Answer:
Least Common Multiple of 8271 and 8276 = 68450796
Step 1: Find the prime factorization of 8271
8271 = 3 x 3 x 919
Step 2: Find the prime factorization of 8276
8276 = 2 x 2 x 2069
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 68450796 = 2 x 2 x 3 x 3 x 919 x 2069
Step 4: Therefore, the least common multiple of 8271 and 8276 is 68450796.