Least Common Multiple of 568 and 572

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 572 the smallest integer that is 81224 that is divisible by both numbers.

Least Common Multiple (LCM) of 568 and 572 is 81224.

LCM(568,572) = 81224

LCM of 568 and 572

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

LCM of:
and

Least Common Multiple of 568 and 572

LCM of 568 and 572 is 81224

Least common multiple can be found by multiplying the highest exponent prime factors of 568 and 572. First we will calculate the prime factors of 568 and 572.

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 572


2 572
2 286
11 143
13 13
1

Prime factors of 572 are 2, 11,13. Prime factorization of 572 in exponential form is:

572 = 22×111×131

Now multiplying the highest exponent prime factors to calculate the LCM of 568 and 572.

LCM(568,572) = 23×111×131×711
LCM(568,572) = 81224

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 572

List of positive integer factors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Least Common Multiple of 568 and 572 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 572, than apply into the LCM equation.

GCF(568,572) = 4
LCM(568,572) = ( 568 × 572) / 4
LCM(568,572) = 324896 / 4
LCM(568,572) = 81224

Properties of LCM 568 and 572

(i) The LCM of 572 and 568 is associative

LCM of 568 and 572 = LCM of 572 and 568

Related Least Common Multiples of 568

Related Least Common Multiples of 572

Frequently Asked Questions on LCM of 568 and 572

1. What is the LCM of 568 and 572?

Answer: LCM of 568 and 572 is 81224.

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 572?

Answer: Factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572. There are 12 integers that are factors of 572. The greatest factor of 572 is 572.

4. How to Find the LCM of 568 and 572?

Answer:

Least Common Multiple of 568 and 572 = 81224

Step 1: Find the prime factorization of 568

568 = 2 x 2 x 2 x 71

Step 2: Find the prime factorization of 572

572 = 2 x 2 x 11 x 13

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

LCM = 81224 = 2 x 2 x 2 x 11 x 13 x 71

Step 4: Therefore, the least common multiple of 568 and 572 is 81224.