Least Common Multiple of 584 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 584 and 592 the smallest integer that is 43216 that is divisible by both numbers.

Least Common Multiple (LCM) of 584 and 592 is 43216.

LCM(584,592) = 43216

LCM of 584 and 592

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

LCM of:
and

Least Common Multiple of 584 and 592

LCM of 584 and 592 is 43216

Least common multiple can be found by multiplying the highest exponent prime factors of 584 and 592. First we will calculate the prime factors of 584 and 592.

Prime Factorization of 584


2 584
2 292
2 146
73 73
1

Prime factors of 584 are 2,73. Prime factorization of 584 in exponential form is:

584 = 23×731

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 584 and 592.

LCM(584,592) = 24×371×731
LCM(584,592) = 43216

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

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 584 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 584 and 592, than apply into the LCM equation.

GCF(584,592) = 8
LCM(584,592) = ( 584 × 592) / 8
LCM(584,592) = 345728 / 8
LCM(584,592) = 43216

Properties of LCM 584 and 592

(i) The LCM of 592 and 584 is associative

LCM of 584 and 592 = LCM of 592 and 584

Related Least Common Multiples of 584

Related Least Common Multiples of 592

Frequently Asked Questions on LCM of 584 and 592

1. What is the LCM of 584 and 592?

Answer: LCM of 584 and 592 is 43216.

2. What are the Factors of 584?

Answer: Factors of 584 are 1, 2, 4, 8, 73, 146, 292, 584. There are 8 integers that are factors of 584. The greatest factor of 584 is 584.

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 584 and 592?

Answer:

Least Common Multiple of 584 and 592 = 43216

Step 1: Find the prime factorization of 584

584 = 2 x 2 x 2 x 73

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 = 43216 = 2 x 2 x 2 x 2 x 37 x 73

Step 4: Therefore, the least common multiple of 584 and 592 is 43216.