Least Common Multiple of 578 and 581

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 581 the smallest integer that is 335818 that is divisible by both numbers.

Least Common Multiple (LCM) of 578 and 581 is 335818.

LCM(578,581) = 335818

LCM of 578 and 581

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

LCM of:
and

Least Common Multiple of 578 and 581

LCM of 578 and 581 is 335818

Least common multiple can be found by multiplying the highest exponent prime factors of 578 and 581. First we will calculate the prime factors of 578 and 581.

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 581


7 581
83 83
1

Prime factors of 581 are 7,83. Prime factorization of 581 in exponential form is:

581 = 71×831

Now multiplying the highest exponent prime factors to calculate the LCM of 578 and 581.

LCM(578,581) = 21×71×172×831
LCM(578,581) = 335818

Factors of 578

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

1, 2, 17, 34, 289, 578

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1, 7, 83, 581

Least Common Multiple of 578 and 581 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 581, than apply into the LCM equation.

GCF(578,581) = 1
LCM(578,581) = ( 578 × 581) / 1
LCM(578,581) = 335818 / 1
LCM(578,581) = 335818

Properties of LCM 578 and 581

(i) The LCM of 581 and 578 is associative

LCM of 578 and 581 = LCM of 581 and 578

Related Least Common Multiples of 578

Related Least Common Multiples of 581

Frequently Asked Questions on LCM of 578 and 581

1. What is the LCM of 578 and 581?

Answer: LCM of 578 and 581 is 335818.

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 581?

Answer: Factors of 581 are 1, 7, 83, 581. There are 4 integers that are factors of 581. The greatest factor of 581 is 581.

4. How to Find the LCM of 578 and 581?

Answer:

Least Common Multiple of 578 and 581 = 335818

Step 1: Find the prime factorization of 578

578 = 2 x 17 x 17

Step 2: Find the prime factorization of 581

581 = 7 x 83

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

LCM = 335818 = 2 x 7 x 17 x 17 x 83

Step 4: Therefore, the least common multiple of 578 and 581 is 335818.