Least Common Multiple of 587 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 587 and 592 the smallest integer that is 347504 that is divisible by both numbers.

Least Common Multiple (LCM) of 587 and 592 is 347504.

LCM(587,592) = 347504

LCM of 587 and 592

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

LCM of:
and

Least Common Multiple of 587 and 592

LCM of 587 and 592 is 347504

Least common multiple can be found by multiplying the highest exponent prime factors of 587 and 592. First we will calculate the prime factors of 587 and 592.

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 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 587 and 592.

LCM(587,592) = 24×371×5871
LCM(587,592) = 347504

Factors of 587

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

1, 587

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 587 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 587 and 592, than apply into the LCM equation.

GCF(587,592) = 1
LCM(587,592) = ( 587 × 592) / 1
LCM(587,592) = 347504 / 1
LCM(587,592) = 347504

Properties of LCM 587 and 592

(i) The LCM of 592 and 587 is associative

LCM of 587 and 592 = LCM of 592 and 587

Related Least Common Multiples of 587

Related Least Common Multiples of 592

Frequently Asked Questions on LCM of 587 and 592

1. What is the LCM of 587 and 592?

Answer: LCM of 587 and 592 is 347504.

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 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 587 and 592?

Answer:

Least Common Multiple of 587 and 592 = 347504

Step 1: Find the prime factorization of 587

587 = 587

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 = 347504 = 2 x 2 x 2 x 2 x 37 x 587

Step 4: Therefore, the least common multiple of 587 and 592 is 347504.