Least Common Multiple of 8565 and 8567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8565 and 8567 the smallest integer that is 73376355 that is divisible by both numbers.

Least Common Multiple (LCM) of 8565 and 8567 is 73376355.

LCM(8565,8567) = 73376355

LCM of 8565 and 8567

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

LCM of:
and

Least Common Multiple of 8565 and 8567

LCM of 8565 and 8567 is 73376355

Least common multiple can be found by multiplying the highest exponent prime factors of 8565 and 8567. First we will calculate the prime factors of 8565 and 8567.

Prime Factorization of 8565


3 8565
5 2855
571 571
1

Prime factors of 8565 are 3, 5,571. Prime factorization of 8565 in exponential form is:

8565 = 31×51×5711

Prime Factorization of 8567


13 8567
659 659
1

Prime factors of 8567 are 13,659. Prime factorization of 8567 in exponential form is:

8567 = 131×6591

Now multiplying the highest exponent prime factors to calculate the LCM of 8565 and 8567.

LCM(8565,8567) = 31×51×131×5711×6591
LCM(8565,8567) = 73376355

Factors of 8565

List of positive integer factors of 8565 that divides 8565 without a remainder.

1, 3, 5, 15, 571, 1713, 2855, 8565

Factors of 8567

List of positive integer factors of 8567 that divides 8567 without a remainder.

1, 13, 659, 8567

Least Common Multiple of 8565 and 8567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8565 and 8567, than apply into the LCM equation.

GCF(8565,8567) = 1
LCM(8565,8567) = ( 8565 × 8567) / 1
LCM(8565,8567) = 73376355 / 1
LCM(8565,8567) = 73376355

Properties of LCM 8565 and 8567

(i) The LCM of 8567 and 8565 is associative

LCM of 8565 and 8567 = LCM of 8567 and 8565

Related Least Common Multiples of 8565

Related Least Common Multiples of 8567

Frequently Asked Questions on LCM of 8565 and 8567

1. What is the LCM of 8565 and 8567?

Answer: LCM of 8565 and 8567 is 73376355.

2. What are the Factors of 8565?

Answer: Factors of 8565 are 1, 3, 5, 15, 571, 1713, 2855, 8565. There are 8 integers that are factors of 8565. The greatest factor of 8565 is 8565.

3. What are the Factors of 8567?

Answer: Factors of 8567 are 1, 13, 659, 8567. There are 4 integers that are factors of 8567. The greatest factor of 8567 is 8567.

4. How to Find the LCM of 8565 and 8567?

Answer:

Least Common Multiple of 8565 and 8567 = 73376355

Step 1: Find the prime factorization of 8565

8565 = 3 x 5 x 571

Step 2: Find the prime factorization of 8567

8567 = 13 x 659

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

LCM = 73376355 = 3 x 5 x 13 x 571 x 659

Step 4: Therefore, the least common multiple of 8565 and 8567 is 73376355.