# What is the Least Common Multiple of 16 and 22?

*Least common multiple* or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 16 and 22 is **176**.

LCM(16,22) = 176

## Least Common Multiple of 16 and 22 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 22, than apply into the LCM equation.

GCF(16,22) = 2

LCM(16,22) = ( 16 × 22) / 2

LCM(16,22) = 352 / 2

LCM(16,22) = 176

## Least Common Multiple (LCM) of 16 and 22 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16 and 22. First we will calculate the **prime factors of 16 and 22**.

### Prime Factorization of 16

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

16 = 2^{4}

### Prime Factorization of 22

Prime factors of 22 are 2, 11. Prime factorization of **22** in exponential form is:

22 = 2^{1} × 11^{1}

Now multiplying the highest exponent prime factors to calculate the **LCM of 16 and 22**.

LCM(16,22) = 2^{4} × 11^{1}

LCM(16,22) = 176