Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8593 and 8599 the smallest integer that is 73891207 that is divisible by both numbers.
Least Common Multiple (LCM) of 8593 and 8599 is 73891207.
LCM(8593,8599) = 73891207
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 8593 and 8599. First we will calculate the prime factors of 8593 and 8599.
Prime Factorization of 8593
13 | 8593 |
661 | 661 |
1 |
Prime factors of 8593 are 13,661. Prime factorization of 8593 in exponential form is:
8593 = 131×6611
Prime Factorization of 8599
8599 | 8599 |
1 |
Prime factors of 8599 are 8599. Prime factorization of 8599 in exponential form is:
8599 = 85991
Now multiplying the highest exponent prime factors to calculate the LCM of 8593 and 8599.
LCM(8593,8599) = 131×6611×85991
LCM(8593,8599) = 73891207
Factors of 8593
List of positive integer factors of 8593 that divides 8593 without a remainder.
1, 13, 661, 8593
Factors of 8599
List of positive integer factors of 8599 that divides 8599 without a remainder.
1, 8599
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8593 and 8599, than apply into the LCM equation.
GCF(8593,8599) = 1
LCM(8593,8599) = ( 8593 × 8599) / 1
LCM(8593,8599) = 73891207 / 1
LCM(8593,8599) = 73891207
(i) The LCM of 8599 and 8593 is associative
LCM of 8593 and 8599 = LCM of 8599 and 8593
1. What is the LCM of 8593 and 8599?
Answer: LCM of 8593 and 8599 is 73891207.
2. What are the Factors of 8593?
Answer: Factors of 8593 are 1, 13, 661, 8593. There are 4 integers that are factors of 8593. The greatest factor of 8593 is 8593.
3. What are the Factors of 8599?
Answer: Factors of 8599 are 1, 8599. There are 2 integers that are factors of 8599. The greatest factor of 8599 is 8599.
4. How to Find the LCM of 8593 and 8599?
Answer:
Least Common Multiple of 8593 and 8599 = 73891207
Step 1: Find the prime factorization of 8593
8593 = 13 x 661
Step 2: Find the prime factorization of 8599
8599 = 8599
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 73891207 = 13 x 661 x 8599
Step 4: Therefore, the least common multiple of 8593 and 8599 is 73891207.