# Least Common Multiple of 8 and 16

Free LCM Calculator determines the least common multiple (LCM) between 8 and 16 the smallest integer that is 16 that is divisible by both numbers.

Least Common Multiple (LCM) of 8 and 16 is 16.

LCM(8,16) = 16

## LCM of 8 and 16

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

LCM of:
and

### Least Common Multiple (LCM) of 16 and 8 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16 and 8. First we will calculate the prime factors of 16 and 8.

Prime Factorization of 16

 2 16 2 8 2 4 2 2 1

Prime factors of 16 are 2. Prime factorization of 16 in exponential form is:

16 = 24

Prime Factorization of 8

 2 8 2 4 2 2 1

Prime factors of 8 are 2. Prime factorization of 8 in exponential form is:

8 = 23

Now multiplying the highest exponent prime factors to calculate the LCM of 16 and 8.

LCM(16,8) = 24
LCM(16,8) = 16

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1, 2, 4, 8

### Least Common Multiple of 16 and 8 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16 and 8, than apply into the LCM equation.

GCF(16,8) = 8
LCM(16,8) = ( 16 × 8) / 8
LCM(16,8) = 128 / 8
LCM(16,8) = 16

### Properties of LCM 16 and 8

(i) The LCM of 8 and 16 is associative

LCM of 16 and 8 = LCM of 8 and 16

### Frequently Asked Questions on LCM of 16 and 8

1. What is the LCM of 16 and 8?

Answer: LCM of 16 and 8 is 16.

2. What are the Factors of 16?

Answer: Factors of 16 are 1, 2, 4, 8, 16. There are 5 integers that are factors of 16. The greatest factor of 16 is 16.

3. What are the Factors of 8?

Answer: Factors of 8 are 1, 2, 4, 8. There are 4 integers that are factors of 8. The greatest factor of 8 is 8.

4. How to Find the LCM of 16 and 8?

Least Common Multiple of 16 and 8 = 16

Step 1: Find the prime factorization of 16

16 = 2 x 2 x 2 x 2

Step 2: Find the prime factorization of 8

8 = 2 x 2 x 2

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

LCM = 16 = 2 x 2 x 2 x 2

Step 4: Therefore, the least common multiple of 16 and 8 is 16.