Least Common Multiple of 564 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 564 and 568 the smallest integer that is 80088 that is divisible by both numbers.

Least Common Multiple (LCM) of 564 and 568 is 80088.

LCM(564,568) = 80088

LCM of 564 and 568

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

LCM of:
and

Least Common Multiple of 564 and 568

LCM of 564 and 568 is 80088

Least common multiple can be found by multiplying the highest exponent prime factors of 564 and 568. First we will calculate the prime factors of 564 and 568.

Prime Factorization of 564


2 564
2 282
3 141
47 47
1

Prime factors of 564 are 2, 3,47. Prime factorization of 564 in exponential form is:

564 = 22×31×471

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 564 and 568.

LCM(564,568) = 23×31×471×711
LCM(564,568) = 80088

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

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 564 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 564 and 568, than apply into the LCM equation.

GCF(564,568) = 4
LCM(564,568) = ( 564 × 568) / 4
LCM(564,568) = 320352 / 4
LCM(564,568) = 80088

Properties of LCM 564 and 568

(i) The LCM of 568 and 564 is associative

LCM of 564 and 568 = LCM of 568 and 564

Related Least Common Multiples of 564

Related Least Common Multiples of 568

Frequently Asked Questions on LCM of 564 and 568

1. What is the LCM of 564 and 568?

Answer: LCM of 564 and 568 is 80088.

2. What are the Factors of 564?

Answer: Factors of 564 are 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564. There are 12 integers that are factors of 564. The greatest factor of 564 is 564.

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 564 and 568?

Answer:

Least Common Multiple of 564 and 568 = 80088

Step 1: Find the prime factorization of 564

564 = 2 x 2 x 3 x 47

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 = 80088 = 2 x 2 x 2 x 3 x 47 x 71

Step 4: Therefore, the least common multiple of 564 and 568 is 80088.