Least Common Multiple of 586 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 586 and 590 the smallest integer that is 172870 that is divisible by both numbers.

Least Common Multiple (LCM) of 586 and 590 is 172870.

LCM(586,590) = 172870

LCM of 586 and 590

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

LCM of:
and

Least Common Multiple of 586 and 590

LCM of 586 and 590 is 172870

Least common multiple can be found by multiplying the highest exponent prime factors of 586 and 590. First we will calculate the prime factors of 586 and 590.

Prime Factorization of 586


2 586
293 293
1

Prime factors of 586 are 2,293. Prime factorization of 586 in exponential form is:

586 = 21×2931

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 586 and 590.

LCM(586,590) = 21×51×591×2931
LCM(586,590) = 172870

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1, 2, 293, 586

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 586 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 586 and 590, than apply into the LCM equation.

GCF(586,590) = 2
LCM(586,590) = ( 586 × 590) / 2
LCM(586,590) = 345740 / 2
LCM(586,590) = 172870

Properties of LCM 586 and 590

(i) The LCM of 590 and 586 is associative

LCM of 586 and 590 = LCM of 590 and 586

Related Least Common Multiples of 586

Related Least Common Multiples of 590

Frequently Asked Questions on LCM of 586 and 590

1. What is the LCM of 586 and 590?

Answer: LCM of 586 and 590 is 172870.

2. What are the Factors of 586?

Answer: Factors of 586 are 1, 2, 293, 586. There are 4 integers that are factors of 586. The greatest factor of 586 is 586.

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 586 and 590?

Answer:

Least Common Multiple of 586 and 590 = 172870

Step 1: Find the prime factorization of 586

586 = 2 x 293

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 = 172870 = 2 x 5 x 59 x 293

Step 4: Therefore, the least common multiple of 586 and 590 is 172870.