Least Common Multiple of 16 and 23

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 16 and 23 the smallest integer that is 368 that is divisible by both numbers.

Least Common Multiple (LCM) of 16 and 23 is 368.

LCM(16,23) = 368

LCM of 16 and 23

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

LCM of:
and

Least Common Multiple of 16 and 23

LCM of 16 and 23 is 368

Least common multiple can be found by multiplying the highest exponent prime factors of 16 and 23. First we will calculate the prime factors of 16 and 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

Prime Factorization of 23


23 23
1

Prime factors of 23 are 23. Prime factorization of 23 in exponential form is:

23 = 231

Now multiplying the highest exponent prime factors to calculate the LCM of 16 and 23.

LCM(16,23) = 24×231
LCM(16,23) = 368

Factors of 16

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

1, 2, 4, 8, 16

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1, 23

Least Common Multiple of 16 and 23 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 23, than apply into the LCM equation.

GCF(16,23) = 1
LCM(16,23) = ( 16 × 23) / 1
LCM(16,23) = 368 / 1
LCM(16,23) = 368

Properties of LCM 16 and 23

(i) The LCM of 23 and 16 is associative

LCM of 16 and 23 = LCM of 23 and 16

Related Least Common Multiples of 16

Related Least Common Multiples of 23

Frequently Asked Questions on LCM of 16 and 23

1. What is the LCM of 16 and 23?

Answer: LCM of 16 and 23 is 368.

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 23?

Answer: Factors of 23 are 1, 23. There are 2 integers that are factors of 23. The greatest factor of 23 is 23.

4. How to Find the LCM of 16 and 23?

Answer:

Least Common Multiple of 16 and 23 = 368

Step 1: Find the prime factorization of 16

16 = 2 x 2 x 2 x 2

Step 2: Find the prime factorization of 23

23 = 23

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

LCM = 368 = 2 x 2 x 2 x 2 x 23

Step 4: Therefore, the least common multiple of 16 and 23 is 368.