# Least Common Multiple of 3 and 5

Least common multiple (LCM) of 3 and 5 is 15.

LCM(3,5) = 15

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.

LCM Calculator and

## Least Common Multiple of 3 and 5 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3 and 5, than apply into the LCM equation.

GCF(3,5) = 1
LCM(3,5) = ( 3 × 5) / 1
LCM(3,5) = 15 / 1
LCM(3,5) = 15

## Least Common Multiple (LCM) of 3 and 5 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3 and 5. First we will calculate the prime factors of 3 and 5.

### Prime Factorization of 3

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

3 = 31

### Prime Factorization of 5

Prime factors of 5 are 5. Prime factorization of 5 in exponential form is:

5 = 51

Now multiplying the highest exponent prime factors to calculate the LCM of 3 and 5.

LCM(3,5) = 31 × 51
LCM(3,5) = 15