Least Common Multiple of 568 and 574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 568 and 574 the smallest integer that is 163016 that is divisible by both numbers.

Least Common Multiple (LCM) of 568 and 574 is 163016.

LCM(568,574) = 163016

LCM of 568 and 574

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

LCM of:
and

Least Common Multiple of 568 and 574

LCM of 568 and 574 is 163016

Least common multiple can be found by multiplying the highest exponent prime factors of 568 and 574. First we will calculate the prime factors of 568 and 574.

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

Prime Factorization of 574


2 574
7 287
41 41
1

Prime factors of 574 are 2, 7,41. Prime factorization of 574 in exponential form is:

574 = 21×71×411

Now multiplying the highest exponent prime factors to calculate the LCM of 568 and 574.

LCM(568,574) = 23×71×411×711
LCM(568,574) = 163016

Factors of 568

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

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

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Least Common Multiple of 568 and 574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 568 and 574, than apply into the LCM equation.

GCF(568,574) = 2
LCM(568,574) = ( 568 × 574) / 2
LCM(568,574) = 326032 / 2
LCM(568,574) = 163016

Properties of LCM 568 and 574

(i) The LCM of 574 and 568 is associative

LCM of 568 and 574 = LCM of 574 and 568

Related Least Common Multiples of 568

Related Least Common Multiples of 574

Frequently Asked Questions on LCM of 568 and 574

1. What is the LCM of 568 and 574?

Answer: LCM of 568 and 574 is 163016.

2. 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.

3. What are the Factors of 574?

Answer: Factors of 574 are 1, 2, 7, 14, 41, 82, 287, 574. There are 8 integers that are factors of 574. The greatest factor of 574 is 574.

4. How to Find the LCM of 568 and 574?

Answer:

Least Common Multiple of 568 and 574 = 163016

Step 1: Find the prime factorization of 568

568 = 2 x 2 x 2 x 71

Step 2: Find the prime factorization of 574

574 = 2 x 7 x 41

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

LCM = 163016 = 2 x 2 x 2 x 7 x 41 x 71

Step 4: Therefore, the least common multiple of 568 and 574 is 163016.