Least Common Multiple of 571 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 571 and 579 the smallest integer that is 330609 that is divisible by both numbers.

Least Common Multiple (LCM) of 571 and 579 is 330609.

LCM(571,579) = 330609

LCM of 571 and 579

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

LCM of:
and

Least Common Multiple of 571 and 579

LCM of 571 and 579 is 330609

Least common multiple can be found by multiplying the highest exponent prime factors of 571 and 579. First we will calculate the prime factors of 571 and 579.

Prime Factorization of 571


571 571
1

Prime factors of 571 are 571. Prime factorization of 571 in exponential form is:

571 = 5711

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 571 and 579.

LCM(571,579) = 31×1931×5711
LCM(571,579) = 330609

Factors of 571

List of positive integer factors of 571 that divides 571 without a remainder.

1, 571

Factors of 579

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

1, 3, 193, 579

Least Common Multiple of 571 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 571 and 579, than apply into the LCM equation.

GCF(571,579) = 1
LCM(571,579) = ( 571 × 579) / 1
LCM(571,579) = 330609 / 1
LCM(571,579) = 330609

Properties of LCM 571 and 579

(i) The LCM of 579 and 571 is associative

LCM of 571 and 579 = LCM of 579 and 571

Related Least Common Multiples of 571

Related Least Common Multiples of 579

Frequently Asked Questions on LCM of 571 and 579

1. What is the LCM of 571 and 579?

Answer: LCM of 571 and 579 is 330609.

2. What are the Factors of 571?

Answer: Factors of 571 are 1, 571. There are 2 integers that are factors of 571. The greatest factor of 571 is 571.

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 571 and 579?

Answer:

Least Common Multiple of 571 and 579 = 330609

Step 1: Find the prime factorization of 571

571 = 571

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 = 330609 = 3 x 193 x 571

Step 4: Therefore, the least common multiple of 571 and 579 is 330609.