Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8329 and 8335 the smallest integer that is 69422215 that is divisible by both numbers.
Least Common Multiple (LCM) of 8329 and 8335 is 69422215.
LCM(8329,8335) = 69422215
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 8329 and 8335. First we will calculate the prime factors of 8329 and 8335.
Prime Factorization of 8329
8329 | 8329 |
1 |
Prime factors of 8329 are 8329. Prime factorization of 8329 in exponential form is:
8329 = 83291
Prime Factorization of 8335
5 | 8335 |
1667 | 1667 |
1 |
Prime factors of 8335 are 5,1667. Prime factorization of 8335 in exponential form is:
8335 = 51×16671
Now multiplying the highest exponent prime factors to calculate the LCM of 8329 and 8335.
LCM(8329,8335) = 51×16671×83291
LCM(8329,8335) = 69422215
Factors of 8329
List of positive integer factors of 8329 that divides 8329 without a remainder.
1, 8329
Factors of 8335
List of positive integer factors of 8335 that divides 8335 without a remainder.
1, 5, 1667, 8335
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8329 and 8335, than apply into the LCM equation.
GCF(8329,8335) = 1
LCM(8329,8335) = ( 8329 × 8335) / 1
LCM(8329,8335) = 69422215 / 1
LCM(8329,8335) = 69422215
(i) The LCM of 8335 and 8329 is associative
LCM of 8329 and 8335 = LCM of 8335 and 8329
1. What is the LCM of 8329 and 8335?
Answer: LCM of 8329 and 8335 is 69422215.
2. 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.
3. What are the Factors of 8335?
Answer: Factors of 8335 are 1, 5, 1667, 8335. There are 4 integers that are factors of 8335. The greatest factor of 8335 is 8335.
4. How to Find the LCM of 8329 and 8335?
Answer:
Least Common Multiple of 8329 and 8335 = 69422215
Step 1: Find the prime factorization of 8329
8329 = 8329
Step 2: Find the prime factorization of 8335
8335 = 5 x 1667
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 69422215 = 5 x 1667 x 8329
Step 4: Therefore, the least common multiple of 8329 and 8335 is 69422215.