Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8359 and 8363 the smallest integer that is 69906317 that is divisible by both numbers.
Least Common Multiple (LCM) of 8359 and 8363 is 69906317.
LCM(8359,8363) = 69906317
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 8359 and 8363. First we will calculate the prime factors of 8359 and 8363.
Prime Factorization of 8359
13 | 8359 |
643 | 643 |
1 |
Prime factors of 8359 are 13,643. Prime factorization of 8359 in exponential form is:
8359 = 131×6431
Prime Factorization of 8363
8363 | 8363 |
1 |
Prime factors of 8363 are 8363. Prime factorization of 8363 in exponential form is:
8363 = 83631
Now multiplying the highest exponent prime factors to calculate the LCM of 8359 and 8363.
LCM(8359,8363) = 131×6431×83631
LCM(8359,8363) = 69906317
Factors of 8359
List of positive integer factors of 8359 that divides 8359 without a remainder.
1, 13, 643, 8359
Factors of 8363
List of positive integer factors of 8363 that divides 8363 without a remainder.
1, 8363
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8359 and 8363, than apply into the LCM equation.
GCF(8359,8363) = 1
LCM(8359,8363) = ( 8359 × 8363) / 1
LCM(8359,8363) = 69906317 / 1
LCM(8359,8363) = 69906317
(i) The LCM of 8363 and 8359 is associative
LCM of 8359 and 8363 = LCM of 8363 and 8359
1. What is the LCM of 8359 and 8363?
Answer: LCM of 8359 and 8363 is 69906317.
2. What are the Factors of 8359?
Answer: Factors of 8359 are 1, 13, 643, 8359. There are 4 integers that are factors of 8359. The greatest factor of 8359 is 8359.
3. What are the Factors of 8363?
Answer: Factors of 8363 are 1, 8363. There are 2 integers that are factors of 8363. The greatest factor of 8363 is 8363.
4. How to Find the LCM of 8359 and 8363?
Answer:
Least Common Multiple of 8359 and 8363 = 69906317
Step 1: Find the prime factorization of 8359
8359 = 13 x 643
Step 2: Find the prime factorization of 8363
8363 = 8363
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 69906317 = 13 x 643 x 8363
Step 4: Therefore, the least common multiple of 8359 and 8363 is 69906317.