Least Common Multiple of 573 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 573 and 581 the smallest integer that is 332913 that is divisible by both numbers.

Least Common Multiple (LCM) of 573 and 581 is 332913.

LCM(573,581) = 332913

LCM of 573 and 581

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

LCM of:
and

Least Common Multiple of 573 and 581

LCM of 573 and 581 is 332913

Least common multiple can be found by multiplying the highest exponent prime factors of 573 and 581. First we will calculate the prime factors of 573 and 581.

Prime Factorization of 573


3 573
191 191
1

Prime factors of 573 are 3,191. Prime factorization of 573 in exponential form is:

573 = 31×1911

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 573 and 581.

LCM(573,581) = 31×71×831×1911
LCM(573,581) = 332913

Factors of 573

List of positive integer factors of 573 that divides 573 without a remainder.

1, 3, 191, 573

Factors of 581

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

1, 7, 83, 581

Least Common Multiple of 573 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 573 and 581, than apply into the LCM equation.

GCF(573,581) = 1
LCM(573,581) = ( 573 × 581) / 1
LCM(573,581) = 332913 / 1
LCM(573,581) = 332913

Properties of LCM 573 and 581

(i) The LCM of 581 and 573 is associative

LCM of 573 and 581 = LCM of 581 and 573

Related Least Common Multiples of 573

Related Least Common Multiples of 581

Frequently Asked Questions on LCM of 573 and 581

1. What is the LCM of 573 and 581?

Answer: LCM of 573 and 581 is 332913.

2. What are the Factors of 573?

Answer: Factors of 573 are 1, 3, 191, 573. There are 4 integers that are factors of 573. The greatest factor of 573 is 573.

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 573 and 581?

Answer:

Least Common Multiple of 573 and 581 = 332913

Step 1: Find the prime factorization of 573

573 = 3 x 191

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 = 332913 = 3 x 7 x 83 x 191

Step 4: Therefore, the least common multiple of 573 and 581 is 332913.