Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6356 and 6361 the smallest integer that is 40430516 that is divisible by both numbers.
Least Common Multiple (LCM) of 6356 and 6361 is 40430516.
LCM(6356,6361) = 40430516
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 6356 and 6361. First we will calculate the prime factors of 6356 and 6361.
Prime Factorization of 6356
2 | 6356 |
2 | 3178 |
7 | 1589 |
227 | 227 |
1 |
Prime factors of 6356 are 2, 7,227. Prime factorization of 6356 in exponential form is:
6356 = 22×71×2271
Prime Factorization of 6361
6361 | 6361 |
1 |
Prime factors of 6361 are 6361. Prime factorization of 6361 in exponential form is:
6361 = 63611
Now multiplying the highest exponent prime factors to calculate the LCM of 6356 and 6361.
LCM(6356,6361) = 22×71×2271×63611
LCM(6356,6361) = 40430516
Factors of 6356
List of positive integer factors of 6356 that divides 6356 without a remainder.
1, 2, 4, 7, 14, 28, 227, 454, 908, 1589, 3178, 6356
Factors of 6361
List of positive integer factors of 6361 that divides 6361 without a remainder.
1, 6361
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6356 and 6361, than apply into the LCM equation.
GCF(6356,6361) = 1
LCM(6356,6361) = ( 6356 × 6361) / 1
LCM(6356,6361) = 40430516 / 1
LCM(6356,6361) = 40430516
(i) The LCM of 6361 and 6356 is associative
LCM of 6356 and 6361 = LCM of 6361 and 6356
1. What is the LCM of 6356 and 6361?
Answer: LCM of 6356 and 6361 is 40430516.
2. What are the Factors of 6356?
Answer: Factors of 6356 are 1, 2, 4, 7, 14, 28, 227, 454, 908, 1589, 3178, 6356. There are 12 integers that are factors of 6356. The greatest factor of 6356 is 6356.
3. What are the Factors of 6361?
Answer: Factors of 6361 are 1, 6361. There are 2 integers that are factors of 6361. The greatest factor of 6361 is 6361.
4. How to Find the LCM of 6356 and 6361?
Answer:
Least Common Multiple of 6356 and 6361 = 40430516
Step 1: Find the prime factorization of 6356
6356 = 2 x 2 x 7 x 227
Step 2: Find the prime factorization of 6361
6361 = 6361
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 40430516 = 2 x 2 x 7 x 227 x 6361
Step 4: Therefore, the least common multiple of 6356 and 6361 is 40430516.