Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 593 and 599 the smallest integer that is 355207 that is divisible by both numbers.
Least Common Multiple (LCM) of 593 and 599 is 355207.
LCM(593,599) = 355207
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 593 and 599. First we will calculate the prime factors of 593 and 599.
Prime Factorization of 593
593 | 593 |
1 |
Prime factors of 593 are 593. Prime factorization of 593 in exponential form is:
593 = 5931
Prime Factorization of 599
599 | 599 |
1 |
Prime factors of 599 are 599. Prime factorization of 599 in exponential form is:
599 = 5991
Now multiplying the highest exponent prime factors to calculate the LCM of 593 and 599.
LCM(593,599) = 5931×5991
LCM(593,599) = 355207
Factors of 593
List of positive integer factors of 593 that divides 593 without a remainder.
1, 593
Factors of 599
List of positive integer factors of 599 that divides 599 without a remainder.
1, 599
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 593 and 599, than apply into the LCM equation.
GCF(593,599) = 1
LCM(593,599) = ( 593 × 599) / 1
LCM(593,599) = 355207 / 1
LCM(593,599) = 355207
(i) The LCM of 599 and 593 is associative
LCM of 593 and 599 = LCM of 599 and 593
1. What is the LCM of 593 and 599?
Answer: LCM of 593 and 599 is 355207.
2. What are the Factors of 593?
Answer: Factors of 593 are 1, 593. There are 2 integers that are factors of 593. The greatest factor of 593 is 593.
3. What are the Factors of 599?
Answer: Factors of 599 are 1, 599. There are 2 integers that are factors of 599. The greatest factor of 599 is 599.
4. How to Find the LCM of 593 and 599?
Answer:
Least Common Multiple of 593 and 599 = 355207
Step 1: Find the prime factorization of 593
593 = 593
Step 2: Find the prime factorization of 599
599 = 599
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 355207 = 593 x 599
Step 4: Therefore, the least common multiple of 593 and 599 is 355207.