# What is the Least Common Multiple of 6 and 11?

*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 6 and 11 is **66**.

LCM(6,11) = 66

## Least Common Multiple of 6 and 11 with GCF Formula

The formula of **LCM** is LCM(a,b) = ( a × b) / GCF(a,b).

We need to calculate greatest common factor 6 and 11, than apply into the LCM equation.

GCF(6,11) = 1

LCM(6,11) = ( 6 × 11) / 1

LCM(6,11) = 66 / 1

LCM(6,11) = 66

## Least Common Multiple (LCM) of 6 and 11 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6 and 11. First we will calculate the **prime factors of 6 and 11**.

### Prime Factorization of 6

Prime factors of 6 are 2, 3. Prime factorization of **6** in exponential form is:

6 = 2^{1} × 3^{1}

### Prime Factorization of 11

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

11 = 11^{1}

Now multiplying the highest exponent prime factors to calculate the **LCM of 6 and 11**.

LCM(6,11) = 2^{1} × 3^{1} × 11^{1}

LCM(6,11) = 66