Least Common Multiple of 589 and 592

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 592 the smallest integer that is 348688 that is divisible by both numbers.

Least Common Multiple (LCM) of 589 and 592 is 348688.

LCM(589,592) = 348688

LCM of 589 and 592

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 589 and 592

LCM of 589 and 592 is 348688

Least common multiple can be found by multiplying the highest exponent prime factors of 589 and 592. First we will calculate the prime factors of 589 and 592.

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 592


2 592
2 296
2 148
2 74
37 37
1

Prime factors of 592 are 2,37. Prime factorization of 592 in exponential form is:

592 = 24×371

Now multiplying the highest exponent prime factors to calculate the LCM of 589 and 592.

LCM(589,592) = 24×191×311×371
LCM(589,592) = 348688

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Least Common Multiple of 589 and 592 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 592, than apply into the LCM equation.

GCF(589,592) = 1
LCM(589,592) = ( 589 × 592) / 1
LCM(589,592) = 348688 / 1
LCM(589,592) = 348688

Properties of LCM 589 and 592

(i) The LCM of 592 and 589 is associative

LCM of 589 and 592 = LCM of 592 and 589

Related Least Common Multiples of 589

Related Least Common Multiples of 592

Frequently Asked Questions on LCM of 589 and 592

1. What is the LCM of 589 and 592?

Answer: LCM of 589 and 592 is 348688.

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 592?

Answer: Factors of 592 are 1, 2, 4, 8, 16, 37, 74, 148, 296, 592. There are 10 integers that are factors of 592. The greatest factor of 592 is 592.

4. How to Find the LCM of 589 and 592?

Answer:

Least Common Multiple of 589 and 592 = 348688

Step 1: Find the prime factorization of 589

589 = 19 x 31

Step 2: Find the prime factorization of 592

592 = 2 x 2 x 2 x 2 x 37

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 348688 = 2 x 2 x 2 x 2 x 19 x 31 x 37

Step 4: Therefore, the least common multiple of 589 and 592 is 348688.