Least Common Multiple of 587 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 587 and 590 the smallest integer that is 346330 that is divisible by both numbers.

Least Common Multiple (LCM) of 587 and 590 is 346330.

LCM(587,590) = 346330

LCM of 587 and 590

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

LCM of:
and

Least Common Multiple of 587 and 590

LCM of 587 and 590 is 346330

Least common multiple can be found by multiplying the highest exponent prime factors of 587 and 590. First we will calculate the prime factors of 587 and 590.

Prime Factorization of 587


587 587
1

Prime factors of 587 are 587. Prime factorization of 587 in exponential form is:

587 = 5871

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 587 and 590.

LCM(587,590) = 21×51×591×5871
LCM(587,590) = 346330

Factors of 587

List of positive integer factors of 587 that divides 587 without a remainder.

1, 587

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 587 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 587 and 590, than apply into the LCM equation.

GCF(587,590) = 1
LCM(587,590) = ( 587 × 590) / 1
LCM(587,590) = 346330 / 1
LCM(587,590) = 346330

Properties of LCM 587 and 590

(i) The LCM of 590 and 587 is associative

LCM of 587 and 590 = LCM of 590 and 587

Related Least Common Multiples of 587

Related Least Common Multiples of 590

Frequently Asked Questions on LCM of 587 and 590

1. What is the LCM of 587 and 590?

Answer: LCM of 587 and 590 is 346330.

2. What are the Factors of 587?

Answer: Factors of 587 are 1, 587. There are 2 integers that are factors of 587. The greatest factor of 587 is 587.

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 587 and 590?

Answer:

Least Common Multiple of 587 and 590 = 346330

Step 1: Find the prime factorization of 587

587 = 587

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 = 346330 = 2 x 5 x 59 x 587

Step 4: Therefore, the least common multiple of 587 and 590 is 346330.