Least Common Multiple of 562 and 569

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 569 the smallest integer that is 319778 that is divisible by both numbers.

Least Common Multiple (LCM) of 562 and 569 is 319778.

LCM(562,569) = 319778

LCM of 562 and 569

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

LCM of:
and

Least Common Multiple of 562 and 569

LCM of 562 and 569 is 319778

Least common multiple can be found by multiplying the highest exponent prime factors of 562 and 569. First we will calculate the prime factors of 562 and 569.

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 569


569 569
1

Prime factors of 569 are 569. Prime factorization of 569 in exponential form is:

569 = 5691

Now multiplying the highest exponent prime factors to calculate the LCM of 562 and 569.

LCM(562,569) = 21×2811×5691
LCM(562,569) = 319778

Factors of 562

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

1, 2, 281, 562

Factors of 569

List of positive integer factors of 569 that divides 569 without a remainder.

1, 569

Least Common Multiple of 562 and 569 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 569, than apply into the LCM equation.

GCF(562,569) = 1
LCM(562,569) = ( 562 × 569) / 1
LCM(562,569) = 319778 / 1
LCM(562,569) = 319778

Properties of LCM 562 and 569

(i) The LCM of 569 and 562 is associative

LCM of 562 and 569 = LCM of 569 and 562

Related Least Common Multiples of 562

Related Least Common Multiples of 569

Frequently Asked Questions on LCM of 562 and 569

1. What is the LCM of 562 and 569?

Answer: LCM of 562 and 569 is 319778.

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 569?

Answer: Factors of 569 are 1, 569. There are 2 integers that are factors of 569. The greatest factor of 569 is 569.

4. How to Find the LCM of 562 and 569?

Answer:

Least Common Multiple of 562 and 569 = 319778

Step 1: Find the prime factorization of 562

562 = 2 x 281

Step 2: Find the prime factorization of 569

569 = 569

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

LCM = 319778 = 2 x 281 x 569

Step 4: Therefore, the least common multiple of 562 and 569 is 319778.