Least Common Multiple of 569 and 577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 569 and 577 the smallest integer that is 328313 that is divisible by both numbers.

Least Common Multiple (LCM) of 569 and 577 is 328313.

LCM(569,577) = 328313

LCM of 569 and 577

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

LCM of:
and

Least Common Multiple of 569 and 577

LCM of 569 and 577 is 328313

Least common multiple can be found by multiplying the highest exponent prime factors of 569 and 577. First we will calculate the prime factors of 569 and 577.

Prime Factorization of 569


569 569
1

Prime factors of 569 are 569. Prime factorization of 569 in exponential form is:

569 = 5691

Prime Factorization of 577


577 577
1

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

577 = 5771

Now multiplying the highest exponent prime factors to calculate the LCM of 569 and 577.

LCM(569,577) = 5691×5771
LCM(569,577) = 328313

Factors of 569

List of positive integer factors of 569 that divides 569 without a remainder.

1, 569

Factors of 577

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

1, 577

Least Common Multiple of 569 and 577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 569 and 577, than apply into the LCM equation.

GCF(569,577) = 1
LCM(569,577) = ( 569 × 577) / 1
LCM(569,577) = 328313 / 1
LCM(569,577) = 328313

Properties of LCM 569 and 577

(i) The LCM of 577 and 569 is associative

LCM of 569 and 577 = LCM of 577 and 569

Related Least Common Multiples of 569

Related Least Common Multiples of 577

Frequently Asked Questions on LCM of 569 and 577

1. What is the LCM of 569 and 577?

Answer: LCM of 569 and 577 is 328313.

2. What are the Factors of 569?

Answer: Factors of 569 are 1, 569. There are 2 integers that are factors of 569. The greatest factor of 569 is 569.

3. 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.

4. How to Find the LCM of 569 and 577?

Answer:

Least Common Multiple of 569 and 577 = 328313

Step 1: Find the prime factorization of 569

569 = 569

Step 2: Find the prime factorization of 577

577 = 577

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

LCM = 328313 = 569 x 577

Step 4: Therefore, the least common multiple of 569 and 577 is 328313.