Least Common Multiple of 577 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 577 and 579 the smallest integer that is 334083 that is divisible by both numbers.

Least Common Multiple (LCM) of 577 and 579 is 334083.

LCM(577,579) = 334083

LCM of 577 and 579

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

LCM of:
and

Least Common Multiple of 577 and 579

LCM of 577 and 579 is 334083

Least common multiple can be found by multiplying the highest exponent prime factors of 577 and 579. First we will calculate the prime factors of 577 and 579.

Prime Factorization of 577


577 577
1

Prime factors of 577 are 577. Prime factorization of 577 in exponential form is:

577 = 5771

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 577 and 579.

LCM(577,579) = 31×1931×5771
LCM(577,579) = 334083

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1, 577

Factors of 579

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

1, 3, 193, 579

Least Common Multiple of 577 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 577 and 579, than apply into the LCM equation.

GCF(577,579) = 1
LCM(577,579) = ( 577 × 579) / 1
LCM(577,579) = 334083 / 1
LCM(577,579) = 334083

Properties of LCM 577 and 579

(i) The LCM of 579 and 577 is associative

LCM of 577 and 579 = LCM of 579 and 577

Related Least Common Multiples of 577

Related Least Common Multiples of 579

Frequently Asked Questions on LCM of 577 and 579

1. What is the LCM of 577 and 579?

Answer: LCM of 577 and 579 is 334083.

2. What are the Factors of 577?

Answer: Factors of 577 are 1, 577. There are 2 integers that are factors of 577. The greatest factor of 577 is 577.

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 577 and 579?

Answer:

Least Common Multiple of 577 and 579 = 334083

Step 1: Find the prime factorization of 577

577 = 577

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 = 334083 = 3 x 193 x 577

Step 4: Therefore, the least common multiple of 577 and 579 is 334083.