Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8327 and 8329 the smallest integer that is 69355583 that is divisible by both numbers.
Least Common Multiple (LCM) of 8327 and 8329 is 69355583.
LCM(8327,8329) = 69355583
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 8327 and 8329. First we will calculate the prime factors of 8327 and 8329.
Prime Factorization of 8327
11 | 8327 |
757 | 757 |
1 |
Prime factors of 8327 are 11,757. Prime factorization of 8327 in exponential form is:
8327 = 111×7571
Prime Factorization of 8329
8329 | 8329 |
1 |
Prime factors of 8329 are 8329. Prime factorization of 8329 in exponential form is:
8329 = 83291
Now multiplying the highest exponent prime factors to calculate the LCM of 8327 and 8329.
LCM(8327,8329) = 111×7571×83291
LCM(8327,8329) = 69355583
Factors of 8327
List of positive integer factors of 8327 that divides 8327 without a remainder.
1, 11, 757, 8327
Factors of 8329
List of positive integer factors of 8329 that divides 8329 without a remainder.
1, 8329
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8327 and 8329, than apply into the LCM equation.
GCF(8327,8329) = 1
LCM(8327,8329) = ( 8327 × 8329) / 1
LCM(8327,8329) = 69355583 / 1
LCM(8327,8329) = 69355583
(i) The LCM of 8329 and 8327 is associative
LCM of 8327 and 8329 = LCM of 8329 and 8327
1. What is the LCM of 8327 and 8329?
Answer: LCM of 8327 and 8329 is 69355583.
2. What are the Factors of 8327?
Answer: Factors of 8327 are 1, 11, 757, 8327. There are 4 integers that are factors of 8327. The greatest factor of 8327 is 8327.
3. What are the Factors of 8329?
Answer: Factors of 8329 are 1, 8329. There are 2 integers that are factors of 8329. The greatest factor of 8329 is 8329.
4. How to Find the LCM of 8327 and 8329?
Answer:
Least Common Multiple of 8327 and 8329 = 69355583
Step 1: Find the prime factorization of 8327
8327 = 11 x 757
Step 2: Find the prime factorization of 8329
8329 = 8329
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 69355583 = 11 x 757 x 8329
Step 4: Therefore, the least common multiple of 8327 and 8329 is 69355583.