Least Common Multiple of 562 and 567

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 567 the smallest integer that is 318654 that is divisible by both numbers.

Least Common Multiple (LCM) of 562 and 567 is 318654.

LCM(562,567) = 318654

LCM of 562 and 567

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

LCM of:
and

Least Common Multiple of 562 and 567

LCM of 562 and 567 is 318654

Least common multiple can be found by multiplying the highest exponent prime factors of 562 and 567. First we will calculate the prime factors of 562 and 567.

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 567


3 567
3 189
3 63
3 21
7 7
1

Prime factors of 567 are 3,7. Prime factorization of 567 in exponential form is:

567 = 34×71

Now multiplying the highest exponent prime factors to calculate the LCM of 562 and 567.

LCM(562,567) = 21×34×71×2811
LCM(562,567) = 318654

Factors of 562

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

1, 2, 281, 562

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Least Common Multiple of 562 and 567 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 567, than apply into the LCM equation.

GCF(562,567) = 1
LCM(562,567) = ( 562 × 567) / 1
LCM(562,567) = 318654 / 1
LCM(562,567) = 318654

Properties of LCM 562 and 567

(i) The LCM of 567 and 562 is associative

LCM of 562 and 567 = LCM of 567 and 562

Related Least Common Multiples of 562

Related Least Common Multiples of 567

Frequently Asked Questions on LCM of 562 and 567

1. What is the LCM of 562 and 567?

Answer: LCM of 562 and 567 is 318654.

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 567?

Answer: Factors of 567 are 1, 3, 7, 9, 21, 27, 63, 81, 189, 567. There are 10 integers that are factors of 567. The greatest factor of 567 is 567.

4. How to Find the LCM of 562 and 567?

Answer:

Least Common Multiple of 562 and 567 = 318654

Step 1: Find the prime factorization of 562

562 = 2 x 281

Step 2: Find the prime factorization of 567

567 = 3 x 3 x 3 x 3 x 7

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

LCM = 318654 = 2 x 3 x 3 x 3 x 3 x 7 x 281

Step 4: Therefore, the least common multiple of 562 and 567 is 318654.