Least Common Multiple of 8 and 16

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


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 of 8 and 16

LCM of 8 and 16 is 16

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

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

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

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

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

Factors of 8

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

1, 2, 4, 8

Factors of 16

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

1, 2, 4, 8, 16

Least Common Multiple of 8 and 16 with GCF Formula

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

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

Properties of LCM 8 and 16

(i) The LCM of 16 and 8 is associative

LCM of 8 and 16 = LCM of 16 and 8

Frequently Asked Questions on LCM of 8 and 16

1. What is the LCM of 8 and 16?

Answer: LCM of 8 and 16 is 16.

2. 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.

3. 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.

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

Answer:

Least Common Multiple of 8 and 16 = 16

Step 1: Find the prime factorization of 8

8 = 2 x 2 x 2

Step 2: Find the prime factorization of 16

16 = 2 x 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 8 and 16 is 16.