Least Common Multiple of 589 and 590

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 590 the smallest integer that is 347510 that is divisible by both numbers.

Least Common Multiple (LCM) of 589 and 590 is 347510.

LCM(589,590) = 347510

LCM of 589 and 590

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

LCM of:
and

Least Common Multiple of 589 and 590

LCM of 589 and 590 is 347510

Least common multiple can be found by multiplying the highest exponent prime factors of 589 and 590. First we will calculate the prime factors of 589 and 590.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 589 and 590.

LCM(589,590) = 21×51×191×311×591
LCM(589,590) = 347510

Factors of 589

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

1, 19, 31, 589

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Least Common Multiple of 589 and 590 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 590, than apply into the LCM equation.

GCF(589,590) = 1
LCM(589,590) = ( 589 × 590) / 1
LCM(589,590) = 347510 / 1
LCM(589,590) = 347510

Properties of LCM 589 and 590

(i) The LCM of 590 and 589 is associative

LCM of 589 and 590 = LCM of 590 and 589

Related Least Common Multiples of 589

Related Least Common Multiples of 590

Frequently Asked Questions on LCM of 589 and 590

1. What is the LCM of 589 and 590?

Answer: LCM of 589 and 590 is 347510.

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 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.

4. How to Find the LCM of 589 and 590?

Answer:

Least Common Multiple of 589 and 590 = 347510

Step 1: Find the prime factorization of 589

589 = 19 x 31

Step 2: Find the prime factorization of 590

590 = 2 x 5 x 59

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

LCM = 347510 = 2 x 5 x 19 x 31 x 59

Step 4: Therefore, the least common multiple of 589 and 590 is 347510.