Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6271 and 6276 the smallest integer that is 39356796 that is divisible by both numbers.
Least Common Multiple (LCM) of 6271 and 6276 is 39356796.
LCM(6271,6276) = 39356796
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 6271 and 6276. First we will calculate the prime factors of 6271 and 6276.
Prime Factorization of 6271
6271 | 6271 |
1 |
Prime factors of 6271 are 6271. Prime factorization of 6271 in exponential form is:
6271 = 62711
Prime Factorization of 6276
2 | 6276 |
2 | 3138 |
3 | 1569 |
523 | 523 |
1 |
Prime factors of 6276 are 2, 3,523. Prime factorization of 6276 in exponential form is:
6276 = 22×31×5231
Now multiplying the highest exponent prime factors to calculate the LCM of 6271 and 6276.
LCM(6271,6276) = 22×31×5231×62711
LCM(6271,6276) = 39356796
Factors of 6271
List of positive integer factors of 6271 that divides 6271 without a remainder.
1, 6271
Factors of 6276
List of positive integer factors of 6276 that divides 6276 without a remainder.
1, 2, 3, 4, 6, 12, 523, 1046, 1569, 2092, 3138, 6276
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6271 and 6276, than apply into the LCM equation.
GCF(6271,6276) = 1
LCM(6271,6276) = ( 6271 × 6276) / 1
LCM(6271,6276) = 39356796 / 1
LCM(6271,6276) = 39356796
(i) The LCM of 6276 and 6271 is associative
LCM of 6271 and 6276 = LCM of 6276 and 6271
1. What is the LCM of 6271 and 6276?
Answer: LCM of 6271 and 6276 is 39356796.
2. What are the Factors of 6271?
Answer: Factors of 6271 are 1, 6271. There are 2 integers that are factors of 6271. The greatest factor of 6271 is 6271.
3. What are the Factors of 6276?
Answer: Factors of 6276 are 1, 2, 3, 4, 6, 12, 523, 1046, 1569, 2092, 3138, 6276. There are 12 integers that are factors of 6276. The greatest factor of 6276 is 6276.
4. How to Find the LCM of 6271 and 6276?
Answer:
Least Common Multiple of 6271 and 6276 = 39356796
Step 1: Find the prime factorization of 6271
6271 = 6271
Step 2: Find the prime factorization of 6276
6276 = 2 x 2 x 3 x 523
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 39356796 = 2 x 2 x 3 x 523 x 6271
Step 4: Therefore, the least common multiple of 6271 and 6276 is 39356796.