Least Common Multiple of 11 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 11 and 16 the smallest integer that is 176 that is divisible by both numbers.

Least Common Multiple (LCM) of 11 and 16 is 176.

LCM(11,16) = 176

LCM of 11 and 16

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

LCM of:
and

Least Common Multiple of 11 and 16

LCM of 11 and 16 is 176

Least common multiple can be found by multiplying the highest exponent prime factors of 11 and 16. First we will calculate the prime factors of 11 and 16.

Prime Factorization of 11


11 11
1

Prime factors of 11 are 11. Prime factorization of 11 in exponential form is:

11 = 111

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 11 and 16.

LCM(11,16) = 24×111
LCM(11,16) = 176

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1, 11

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 11 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 11 and 16, than apply into the LCM equation.

GCF(11,16) = 1
LCM(11,16) = ( 11 × 16) / 1
LCM(11,16) = 176 / 1
LCM(11,16) = 176

Properties of LCM 11 and 16

(i) The LCM of 16 and 11 is associative

LCM of 11 and 16 = LCM of 16 and 11

Related Least Common Multiples of 11

Related Least Common Multiples of 16

Frequently Asked Questions on LCM of 11 and 16

1. What is the LCM of 11 and 16?

Answer: LCM of 11 and 16 is 176.

2. What are the Factors of 11?

Answer: Factors of 11 are 1, 11. There are 2 integers that are factors of 11. The greatest factor of 11 is 11.

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 11 and 16?

Answer:

Least Common Multiple of 11 and 16 = 176

Step 1: Find the prime factorization of 11

11 = 11

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 = 176 = 2 x 2 x 2 x 2 x 11

Step 4: Therefore, the least common multiple of 11 and 16 is 176.