Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8579 and 8587 the smallest integer that is 73667873 that is divisible by both numbers.
Least Common Multiple (LCM) of 8579 and 8587 is 73667873.
LCM(8579,8587) = 73667873
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 8579 and 8587. First we will calculate the prime factors of 8579 and 8587.
Prime Factorization of 8579
23 | 8579 |
373 | 373 |
1 |
Prime factors of 8579 are 23,373. Prime factorization of 8579 in exponential form is:
8579 = 231×3731
Prime Factorization of 8587
31 | 8587 |
277 | 277 |
1 |
Prime factors of 8587 are 31,277. Prime factorization of 8587 in exponential form is:
8587 = 311×2771
Now multiplying the highest exponent prime factors to calculate the LCM of 8579 and 8587.
LCM(8579,8587) = 231×311×2771×3731
LCM(8579,8587) = 73667873
Factors of 8579
List of positive integer factors of 8579 that divides 8579 without a remainder.
1, 23, 373, 8579
Factors of 8587
List of positive integer factors of 8587 that divides 8587 without a remainder.
1, 31, 277, 8587
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8579 and 8587, than apply into the LCM equation.
GCF(8579,8587) = 1
LCM(8579,8587) = ( 8579 × 8587) / 1
LCM(8579,8587) = 73667873 / 1
LCM(8579,8587) = 73667873
(i) The LCM of 8587 and 8579 is associative
LCM of 8579 and 8587 = LCM of 8587 and 8579
1. What is the LCM of 8579 and 8587?
Answer: LCM of 8579 and 8587 is 73667873.
2. What are the Factors of 8579?
Answer: Factors of 8579 are 1, 23, 373, 8579. There are 4 integers that are factors of 8579. The greatest factor of 8579 is 8579.
3. What are the Factors of 8587?
Answer: Factors of 8587 are 1, 31, 277, 8587. There are 4 integers that are factors of 8587. The greatest factor of 8587 is 8587.
4. How to Find the LCM of 8579 and 8587?
Answer:
Least Common Multiple of 8579 and 8587 = 73667873
Step 1: Find the prime factorization of 8579
8579 = 23 x 373
Step 2: Find the prime factorization of 8587
8587 = 31 x 277
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 73667873 = 23 x 31 x 277 x 373
Step 4: Therefore, the least common multiple of 8579 and 8587 is 73667873.