Least Common Multiple of 578 and 582

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 582 the smallest integer that is 168198 that is divisible by both numbers.

Least Common Multiple (LCM) of 578 and 582 is 168198.

LCM(578,582) = 168198

LCM of 578 and 582

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

LCM of:
and

Least Common Multiple of 578 and 582

LCM of 578 and 582 is 168198

Least common multiple can be found by multiplying the highest exponent prime factors of 578 and 582. First we will calculate the prime factors of 578 and 582.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 578 and 582.

LCM(578,582) = 21×31×172×971
LCM(578,582) = 168198

Factors of 578

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

1, 2, 17, 34, 289, 578

Factors of 582

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

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

Least Common Multiple of 578 and 582 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 582, than apply into the LCM equation.

GCF(578,582) = 2
LCM(578,582) = ( 578 × 582) / 2
LCM(578,582) = 336396 / 2
LCM(578,582) = 168198

Properties of LCM 578 and 582

(i) The LCM of 582 and 578 is associative

LCM of 578 and 582 = LCM of 582 and 578

Related Least Common Multiples of 578

Related Least Common Multiples of 582

Frequently Asked Questions on LCM of 578 and 582

1. What is the LCM of 578 and 582?

Answer: LCM of 578 and 582 is 168198.

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 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.

4. How to Find the LCM of 578 and 582?

Answer:

Least Common Multiple of 578 and 582 = 168198

Step 1: Find the prime factorization of 578

578 = 2 x 17 x 17

Step 2: Find the prime factorization of 582

582 = 2 x 3 x 97

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

LCM = 168198 = 2 x 3 x 17 x 17 x 97

Step 4: Therefore, the least common multiple of 578 and 582 is 168198.