Least Common Multiple of 565 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 565 and 567 the smallest integer that is 320355 that is divisible by both numbers.

Least Common Multiple (LCM) of 565 and 567 is 320355.

LCM(565,567) = 320355

LCM of 565 and 567

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

LCM of:
and

Least Common Multiple of 565 and 567

LCM of 565 and 567 is 320355

Least common multiple can be found by multiplying the highest exponent prime factors of 565 and 567. First we will calculate the prime factors of 565 and 567.

Prime Factorization of 565


5 565
113 113
1

Prime factors of 565 are 5,113. Prime factorization of 565 in exponential form is:

565 = 51×1131

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 565 and 567.

LCM(565,567) = 34×51×71×1131
LCM(565,567) = 320355

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1, 5, 113, 565

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 565 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 565 and 567, than apply into the LCM equation.

GCF(565,567) = 1
LCM(565,567) = ( 565 × 567) / 1
LCM(565,567) = 320355 / 1
LCM(565,567) = 320355

Properties of LCM 565 and 567

(i) The LCM of 567 and 565 is associative

LCM of 565 and 567 = LCM of 567 and 565

Related Least Common Multiples of 565

Related Least Common Multiples of 567

Frequently Asked Questions on LCM of 565 and 567

1. What is the LCM of 565 and 567?

Answer: LCM of 565 and 567 is 320355.

2. What are the Factors of 565?

Answer: Factors of 565 are 1, 5, 113, 565. There are 4 integers that are factors of 565. The greatest factor of 565 is 565.

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 565 and 567?

Answer:

Least Common Multiple of 565 and 567 = 320355

Step 1: Find the prime factorization of 565

565 = 5 x 113

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 = 320355 = 3 x 3 x 3 x 3 x 5 x 7 x 113

Step 4: Therefore, the least common multiple of 565 and 567 is 320355.