# What is the Least Common Multiple of 6 and 8?

*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 8 is **24**.

LCM(6,8) = 24

## Least Common Multiple of 6 and 8 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 8, than apply into the LCM equation.

GCF(6,8) = 2

LCM(6,8) = ( 6 × 8) / 2

LCM(6,8) = 48 / 2

LCM(6,8) = 24

## Least Common Multiple (LCM) of 6 and 8 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6 and 8. First we will calculate the **prime factors of 6 and 8**.

### 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 8

Prime factors of 8 are 2. Prime factorization of **8** in exponential form is:

8 = 2^{3}

Now multiplying the highest exponent prime factors to calculate the **LCM of 6 and 8**.

LCM(6,8) = 2^{3} × 3^{1}

LCM(6,8) = 24

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