Least Common Multiple of 578 and 579

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 579 the smallest integer that is 334662 that is divisible by both numbers.

Least Common Multiple (LCM) of 578 and 579 is 334662.

LCM(578,579) = 334662

LCM of 578 and 579

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

LCM of:
and

Least Common Multiple of 578 and 579

LCM of 578 and 579 is 334662

Least common multiple can be found by multiplying the highest exponent prime factors of 578 and 579. First we will calculate the prime factors of 578 and 579.

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 579


3 579
193 193
1

Prime factors of 579 are 3,193. Prime factorization of 579 in exponential form is:

579 = 31×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 578 and 579.

LCM(578,579) = 21×31×172×1931
LCM(578,579) = 334662

Factors of 578

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

1, 2, 17, 34, 289, 578

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1, 3, 193, 579

Least Common Multiple of 578 and 579 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 579, than apply into the LCM equation.

GCF(578,579) = 1
LCM(578,579) = ( 578 × 579) / 1
LCM(578,579) = 334662 / 1
LCM(578,579) = 334662

Properties of LCM 578 and 579

(i) The LCM of 579 and 578 is associative

LCM of 578 and 579 = LCM of 579 and 578

Related Least Common Multiples of 578

Related Least Common Multiples of 579

Frequently Asked Questions on LCM of 578 and 579

1. What is the LCM of 578 and 579?

Answer: LCM of 578 and 579 is 334662.

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 579?

Answer: Factors of 579 are 1, 3, 193, 579. There are 4 integers that are factors of 579. The greatest factor of 579 is 579.

4. How to Find the LCM of 578 and 579?

Answer:

Least Common Multiple of 578 and 579 = 334662

Step 1: Find the prime factorization of 578

578 = 2 x 17 x 17

Step 2: Find the prime factorization of 579

579 = 3 x 193

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

LCM = 334662 = 2 x 3 x 17 x 17 x 193

Step 4: Therefore, the least common multiple of 578 and 579 is 334662.