Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 590 and 593 the smallest integer that is 349870 that is divisible by both numbers.
Least Common Multiple (LCM) of 590 and 593 is 349870.
LCM(590,593) = 349870
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 590 and 593. First we will calculate the prime factors of 590 and 593.
Prime Factorization of 590
2 | 590 |
5 | 295 |
59 | 59 |
1 |
Prime factors of 590 are 2, 5,59. Prime factorization of 590 in exponential form is:
590 = 21×51×591
Prime Factorization of 593
593 | 593 |
1 |
Prime factors of 593 are 593. Prime factorization of 593 in exponential form is:
593 = 5931
Now multiplying the highest exponent prime factors to calculate the LCM of 590 and 593.
LCM(590,593) = 21×51×591×5931
LCM(590,593) = 349870
Factors of 590
List of positive integer factors of 590 that divides 590 without a remainder.
1, 2, 5, 10, 59, 118, 295, 590
Factors of 593
List of positive integer factors of 593 that divides 593 without a remainder.
1, 593
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 590 and 593, than apply into the LCM equation.
GCF(590,593) = 1
LCM(590,593) = ( 590 × 593) / 1
LCM(590,593) = 349870 / 1
LCM(590,593) = 349870
(i) The LCM of 593 and 590 is associative
LCM of 590 and 593 = LCM of 593 and 590
1. What is the LCM of 590 and 593?
Answer: LCM of 590 and 593 is 349870.
2. What are the Factors of 590?
Answer: Factors of 590 are 1, 2, 5, 10, 59, 118, 295, 590. There are 8 integers that are factors of 590. The greatest factor of 590 is 590.
3. 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.
4. How to Find the LCM of 590 and 593?
Answer:
Least Common Multiple of 590 and 593 = 349870
Step 1: Find the prime factorization of 590
590 = 2 x 5 x 59
Step 2: Find the prime factorization of 593
593 = 593
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 349870 = 2 x 5 x 59 x 593
Step 4: Therefore, the least common multiple of 590 and 593 is 349870.