Least Common Multiple of 582 and 584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 582 and 584 the smallest integer that is 169944 that is divisible by both numbers.

Least Common Multiple (LCM) of 582 and 584 is 169944.

LCM(582,584) = 169944

LCM of 582 and 584

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

LCM of:
and

Least Common Multiple of 582 and 584

LCM of 582 and 584 is 169944

Least common multiple can be found by multiplying the highest exponent prime factors of 582 and 584. First we will calculate the prime factors of 582 and 584.

Prime Factorization of 582


2 582
3 291
97 97
1

Prime factors of 582 are 2, 3,97. Prime factorization of 582 in exponential form is:

582 = 21×31×971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 582 and 584.

LCM(582,584) = 23×31×731×971
LCM(582,584) = 169944

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Factors of 584

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

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

Least Common Multiple of 582 and 584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 582 and 584, than apply into the LCM equation.

GCF(582,584) = 2
LCM(582,584) = ( 582 × 584) / 2
LCM(582,584) = 339888 / 2
LCM(582,584) = 169944

Properties of LCM 582 and 584

(i) The LCM of 584 and 582 is associative

LCM of 582 and 584 = LCM of 584 and 582

Related Least Common Multiples of 582

Related Least Common Multiples of 584

Frequently Asked Questions on LCM of 582 and 584

1. What is the LCM of 582 and 584?

Answer: LCM of 582 and 584 is 169944.

2. What are the Factors of 582?

Answer: Factors of 582 are 1, 2, 3, 6, 97, 194, 291, 582. There are 8 integers that are factors of 582. The greatest factor of 582 is 582.

3. 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.

4. How to Find the LCM of 582 and 584?

Answer:

Least Common Multiple of 582 and 584 = 169944

Step 1: Find the prime factorization of 582

582 = 2 x 3 x 97

Step 2: Find the prime factorization of 584

584 = 2 x 2 x 2 x 73

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 169944 = 2 x 2 x 2 x 3 x 73 x 97

Step 4: Therefore, the least common multiple of 582 and 584 is 169944.