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 8597 the smallest integer that is 73874021 that is divisible by both numbers.
Least Common Multiple (LCM) of 8593 and 8597 is 73874021.
LCM(8593,8597) = 73874021
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 8597. First we will calculate the prime factors of 8593 and 8597.
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 8597
8597 | 8597 |
1 |
Prime factors of 8597 are 8597. Prime factorization of 8597 in exponential form is:
8597 = 85971
Now multiplying the highest exponent prime factors to calculate the LCM of 8593 and 8597.
LCM(8593,8597) = 131×6611×85971
LCM(8593,8597) = 73874021
Factors of 8593
List of positive integer factors of 8593 that divides 8593 without a remainder.
1, 13, 661, 8593
Factors of 8597
List of positive integer factors of 8597 that divides 8597 without a remainder.
1, 8597
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8593 and 8597, than apply into the LCM equation.
GCF(8593,8597) = 1
LCM(8593,8597) = ( 8593 × 8597) / 1
LCM(8593,8597) = 73874021 / 1
LCM(8593,8597) = 73874021
(i) The LCM of 8597 and 8593 is associative
LCM of 8593 and 8597 = LCM of 8597 and 8593
1. What is the LCM of 8593 and 8597?
Answer: LCM of 8593 and 8597 is 73874021.
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 8597?
Answer: Factors of 8597 are 1, 8597. There are 2 integers that are factors of 8597. The greatest factor of 8597 is 8597.
4. How to Find the LCM of 8593 and 8597?
Answer:
Least Common Multiple of 8593 and 8597 = 73874021
Step 1: Find the prime factorization of 8593
8593 = 13 x 661
Step 2: Find the prime factorization of 8597
8597 = 8597
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 73874021 = 13 x 661 x 8597
Step 4: Therefore, the least common multiple of 8593 and 8597 is 73874021.