Least Common Multiple of 588 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 588 and 592 the smallest integer that is 87024 that is divisible by both numbers.

Least Common Multiple (LCM) of 588 and 592 is 87024.

LCM(588,592) = 87024

LCM of 588 and 592

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

LCM of:
and

Least Common Multiple of 588 and 592

LCM of 588 and 592 is 87024

Least common multiple can be found by multiplying the highest exponent prime factors of 588 and 592. First we will calculate the prime factors of 588 and 592.

Prime Factorization of 588


2 588
2 294
3 147
7 49
7 7
1

Prime factors of 588 are 2, 3,7. Prime factorization of 588 in exponential form is:

588 = 22×31×72

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 588 and 592.

LCM(588,592) = 24×31×72×371
LCM(588,592) = 87024

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

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 588 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 588 and 592, than apply into the LCM equation.

GCF(588,592) = 4
LCM(588,592) = ( 588 × 592) / 4
LCM(588,592) = 348096 / 4
LCM(588,592) = 87024

Properties of LCM 588 and 592

(i) The LCM of 592 and 588 is associative

LCM of 588 and 592 = LCM of 592 and 588

Related Least Common Multiples of 588

Related Least Common Multiples of 592

Frequently Asked Questions on LCM of 588 and 592

1. What is the LCM of 588 and 592?

Answer: LCM of 588 and 592 is 87024.

2. What are the Factors of 588?

Answer: Factors of 588 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588. There are 18 integers that are factors of 588. The greatest factor of 588 is 588.

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 588 and 592?

Answer:

Least Common Multiple of 588 and 592 = 87024

Step 1: Find the prime factorization of 588

588 = 2 x 2 x 3 x 7 x 7

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 = 87024 = 2 x 2 x 2 x 2 x 3 x 7 x 7 x 37

Step 4: Therefore, the least common multiple of 588 and 592 is 87024.