Least Common Multiple of 565 and 569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 565 and 569 the smallest integer that is 321485 that is divisible by both numbers.

Least Common Multiple (LCM) of 565 and 569 is 321485.

LCM(565,569) = 321485

LCM of 565 and 569

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

LCM of:
and

Least Common Multiple of 565 and 569

LCM of 565 and 569 is 321485

Least common multiple can be found by multiplying the highest exponent prime factors of 565 and 569. First we will calculate the prime factors of 565 and 569.

Prime Factorization of 565


5 565
113 113
1

Prime factors of 565 are 5,113. Prime factorization of 565 in exponential form is:

565 = 51×1131

Prime Factorization of 569


569 569
1

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

569 = 5691

Now multiplying the highest exponent prime factors to calculate the LCM of 565 and 569.

LCM(565,569) = 51×1131×5691
LCM(565,569) = 321485

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Factors of 569

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

1, 569

Least Common Multiple of 565 and 569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 565 and 569, than apply into the LCM equation.

GCF(565,569) = 1
LCM(565,569) = ( 565 × 569) / 1
LCM(565,569) = 321485 / 1
LCM(565,569) = 321485

Properties of LCM 565 and 569

(i) The LCM of 569 and 565 is associative

LCM of 565 and 569 = LCM of 569 and 565

Related Least Common Multiples of 565

Related Least Common Multiples of 569

Frequently Asked Questions on LCM of 565 and 569

1. What is the LCM of 565 and 569?

Answer: LCM of 565 and 569 is 321485.

2. What are the Factors of 565?

Answer: Factors of 565 are 1, 5, 113, 565. There are 4 integers that are factors of 565. The greatest factor of 565 is 565.

3. 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.

4. How to Find the LCM of 565 and 569?

Answer:

Least Common Multiple of 565 and 569 = 321485

Step 1: Find the prime factorization of 565

565 = 5 x 113

Step 2: Find the prime factorization of 569

569 = 569

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

LCM = 321485 = 5 x 113 x 569

Step 4: Therefore, the least common multiple of 565 and 569 is 321485.