Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6359 and 6367 the smallest integer that is 40487753 that is divisible by both numbers.
Least Common Multiple (LCM) of 6359 and 6367 is 40487753.
LCM(6359,6367) = 40487753
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 6359 and 6367. First we will calculate the prime factors of 6359 and 6367.
Prime Factorization of 6359
6359 | 6359 |
1 |
Prime factors of 6359 are 6359. Prime factorization of 6359 in exponential form is:
6359 = 63591
Prime Factorization of 6367
6367 | 6367 |
1 |
Prime factors of 6367 are 6367. Prime factorization of 6367 in exponential form is:
6367 = 63671
Now multiplying the highest exponent prime factors to calculate the LCM of 6359 and 6367.
LCM(6359,6367) = 63591×63671
LCM(6359,6367) = 40487753
Factors of 6359
List of positive integer factors of 6359 that divides 6359 without a remainder.
1, 6359
Factors of 6367
List of positive integer factors of 6367 that divides 6367 without a remainder.
1, 6367
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6359 and 6367, than apply into the LCM equation.
GCF(6359,6367) = 1
LCM(6359,6367) = ( 6359 × 6367) / 1
LCM(6359,6367) = 40487753 / 1
LCM(6359,6367) = 40487753
(i) The LCM of 6367 and 6359 is associative
LCM of 6359 and 6367 = LCM of 6367 and 6359
1. What is the LCM of 6359 and 6367?
Answer: LCM of 6359 and 6367 is 40487753.
2. What are the Factors of 6359?
Answer: Factors of 6359 are 1, 6359. There are 2 integers that are factors of 6359. The greatest factor of 6359 is 6359.
3. What are the Factors of 6367?
Answer: Factors of 6367 are 1, 6367. There are 2 integers that are factors of 6367. The greatest factor of 6367 is 6367.
4. How to Find the LCM of 6359 and 6367?
Answer:
Least Common Multiple of 6359 and 6367 = 40487753
Step 1: Find the prime factorization of 6359
6359 = 6359
Step 2: Find the prime factorization of 6367
6367 = 6367
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 40487753 = 6359 x 6367
Step 4: Therefore, the least common multiple of 6359 and 6367 is 40487753.