Least Common Multiple of 578 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 578 and 584 the smallest integer that is 168776 that is divisible by both numbers.

Least Common Multiple (LCM) of 578 and 584 is 168776.

LCM(578,584) = 168776

LCM of 578 and 584

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

LCM of:
and

Least Common Multiple of 578 and 584

LCM of 578 and 584 is 168776

Least common multiple can be found by multiplying the highest exponent prime factors of 578 and 584. First we will calculate the prime factors of 578 and 584.

Prime Factorization of 578


2 578
17 289
17 17
1

Prime factors of 578 are 2,17. Prime factorization of 578 in exponential form is:

578 = 21×172

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 578 and 584.

LCM(578,584) = 23×172×731
LCM(578,584) = 168776

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

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 578 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 578 and 584, than apply into the LCM equation.

GCF(578,584) = 2
LCM(578,584) = ( 578 × 584) / 2
LCM(578,584) = 337552 / 2
LCM(578,584) = 168776

Properties of LCM 578 and 584

(i) The LCM of 584 and 578 is associative

LCM of 578 and 584 = LCM of 584 and 578

Related Least Common Multiples of 578

Related Least Common Multiples of 584

Frequently Asked Questions on LCM of 578 and 584

1. What is the LCM of 578 and 584?

Answer: LCM of 578 and 584 is 168776.

2. What are the Factors of 578?

Answer: Factors of 578 are 1, 2, 17, 34, 289, 578. There are 6 integers that are factors of 578. The greatest factor of 578 is 578.

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 578 and 584?

Answer:

Least Common Multiple of 578 and 584 = 168776

Step 1: Find the prime factorization of 578

578 = 2 x 17 x 17

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 = 168776 = 2 x 2 x 2 x 17 x 17 x 73

Step 4: Therefore, the least common multiple of 578 and 584 is 168776.