Least Common Multiple of 589 and 596
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 589 and 596 the smallest integer that is 351044 that is divisible by both numbers.
Least Common Multiple (LCM) of 589 and 596 is 351044.
LCM(589,596) = 351044
LCM of 589 and 596
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 589 and 596 by Prime method
- Least Common Multiple of 589 and 596 with GCF Formula
LCM of 589 and 596 is 351044
Least common multiple can be found by multiplying the highest exponent prime factors of 589 and 596. First we will calculate the prime factors of 589 and 596.
Prime Factorization of 589
| 19 | 589 |
| 31 | 31 |
| 1 |
Prime factors of 589 are 19,31. Prime factorization of 589 in exponential form is:
589 = 191×311
Prime Factorization of 596
| 2 | 596 |
| 2 | 298 |
| 149 | 149 |
| 1 |
Prime factors of 596 are 2,149. Prime factorization of 596 in exponential form is:
596 = 22×1491
Now multiplying the highest exponent prime factors to calculate the LCM of 589 and 596.
LCM(589,596) = 22×191×311×1491
LCM(589,596) = 351044
Factors of 589
List of positive integer factors of 589 that divides 589 without a remainder.
1, 19, 31, 589
Factors of 596
List of positive integer factors of 596 that divides 596 without a remainder.
1, 2, 4, 149, 298, 596
Least Common Multiple of 589 and 596 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 589 and 596, than apply into the LCM equation.
GCF(589,596) = 1
LCM(589,596) = ( 589 × 596) / 1
LCM(589,596) = 351044 / 1
LCM(589,596) = 351044
Properties of LCM 589 and 596
(i) The LCM of 596 and 589 is associative
LCM of 589 and 596 = LCM of 596 and 589
Related Least Common Multiples of 589
Related Least Common Multiples of 596
Frequently Asked Questions on LCM of 589 and 596
1. What is the LCM of 589 and 596?
Answer: LCM of 589 and 596 is 351044.
2. What are the Factors of 589?
Answer: Factors of 589 are 1, 19, 31, 589. There are 4 integers that are factors of 589. The greatest factor of 589 is 589.
3. What are the Factors of 596?
Answer: Factors of 596 are 1, 2, 4, 149, 298, 596. There are 6 integers that are factors of 596. The greatest factor of 596 is 596.
4. How to Find the LCM of 589 and 596?
Answer:
Least Common Multiple of 589 and 596 = 351044
Step 1: Find the prime factorization of 589
589 = 19 x 31
Step 2: Find the prime factorization of 596
596 = 2 x 2 x 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 351044 = 2 x 2 x 19 x 31 x 149
Step 4: Therefore, the least common multiple of 589 and 596 is 351044.