Least Common Multiple of 562 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 562 and 568 the smallest integer that is 159608 that is divisible by both numbers.

Least Common Multiple (LCM) of 562 and 568 is 159608.

LCM(562,568) = 159608

LCM of 562 and 568

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

LCM of:
and

Least Common Multiple of 562 and 568

LCM of 562 and 568 is 159608

Least common multiple can be found by multiplying the highest exponent prime factors of 562 and 568. First we will calculate the prime factors of 562 and 568.

Prime Factorization of 562


2 562
281 281
1

Prime factors of 562 are 2,281. Prime factorization of 562 in exponential form is:

562 = 21×2811

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 562 and 568.

LCM(562,568) = 23×711×2811
LCM(562,568) = 159608

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1, 2, 281, 562

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 562 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 562 and 568, than apply into the LCM equation.

GCF(562,568) = 2
LCM(562,568) = ( 562 × 568) / 2
LCM(562,568) = 319216 / 2
LCM(562,568) = 159608

Properties of LCM 562 and 568

(i) The LCM of 568 and 562 is associative

LCM of 562 and 568 = LCM of 568 and 562

Related Least Common Multiples of 562

Related Least Common Multiples of 568

Frequently Asked Questions on LCM of 562 and 568

1. What is the LCM of 562 and 568?

Answer: LCM of 562 and 568 is 159608.

2. What are the Factors of 562?

Answer: Factors of 562 are 1, 2, 281, 562. There are 4 integers that are factors of 562. The greatest factor of 562 is 562.

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 562 and 568?

Answer:

Least Common Multiple of 562 and 568 = 159608

Step 1: Find the prime factorization of 562

562 = 2 x 281

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 = 159608 = 2 x 2 x 2 x 71 x 281

Step 4: Therefore, the least common multiple of 562 and 568 is 159608.