Least Common Multiple of 565 and 568

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 568 the smallest integer that is 320920 that is divisible by both numbers.

Least Common Multiple (LCM) of 565 and 568 is 320920.

LCM(565,568) = 320920

LCM of 565 and 568

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

LCM of:
and

Least Common Multiple of 565 and 568

LCM of 565 and 568 is 320920

Least common multiple can be found by multiplying the highest exponent prime factors of 565 and 568. First we will calculate the prime factors of 565 and 568.

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 568


2 568
2 284
2 142
71 71
1

Prime factors of 568 are 2,71. Prime factorization of 568 in exponential form is:

568 = 23×711

Now multiplying the highest exponent prime factors to calculate the LCM of 565 and 568.

LCM(565,568) = 23×51×711×1131
LCM(565,568) = 320920

Factors of 565

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

1, 5, 113, 565

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1, 2, 4, 8, 71, 142, 284, 568

Least Common Multiple of 565 and 568 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 568, than apply into the LCM equation.

GCF(565,568) = 1
LCM(565,568) = ( 565 × 568) / 1
LCM(565,568) = 320920 / 1
LCM(565,568) = 320920

Properties of LCM 565 and 568

(i) The LCM of 568 and 565 is associative

LCM of 565 and 568 = LCM of 568 and 565

Related Least Common Multiples of 565

Related Least Common Multiples of 568

Frequently Asked Questions on LCM of 565 and 568

1. What is the LCM of 565 and 568?

Answer: LCM of 565 and 568 is 320920.

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 568?

Answer: Factors of 568 are 1, 2, 4, 8, 71, 142, 284, 568. There are 8 integers that are factors of 568. The greatest factor of 568 is 568.

4. How to Find the LCM of 565 and 568?

Answer:

Least Common Multiple of 565 and 568 = 320920

Step 1: Find the prime factorization of 565

565 = 5 x 113

Step 2: Find the prime factorization of 568

568 = 2 x 2 x 2 x 71

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

LCM = 320920 = 2 x 2 x 2 x 5 x 71 x 113

Step 4: Therefore, the least common multiple of 565 and 568 is 320920.