# What is the Least Common Multiple of 9 and 27?

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 9 and 27 is 27.

LCM(9,27) = 27

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## Least Common Multiple of 9 and 27 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9 and 27, than apply into the LCM equation.

GCF(9,27) = 9
LCM(9,27) = ( 9 × 27) / 9
LCM(9,27) = 243 / 9
LCM(9,27) = 27

## Least Common Multiple (LCM) of 9 and 27 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9 and 27. First we will calculate the prime factors of 9 and 27.

### Prime Factorization of 9

Prime factors of 9 are 3. Prime factorization of 9 in exponential form is:

9 = 32

### Prime Factorization of 27

Prime factors of 27 are 3. Prime factorization of 27 in exponential form is:

27 = 33

Now multiplying the highest exponent prime factors to calculate the LCM of 9 and 27.

LCM(9,27) = 33
LCM(9,27) = 27