# Least Common Multiple of 7 and 14

Least common multiple (LCM) of 7 and 14 is 14.

LCM(7,14) = 14

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 7 and 14 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7 and 14, than apply into the LCM equation.

GCF(7,14) = 7
LCM(7,14) = ( 7 × 14) / 7
LCM(7,14) = 98 / 7
LCM(7,14) = 14

## Least Common Multiple (LCM) of 7 and 14 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7 and 14. First we will calculate the prime factors of 7 and 14.

### Prime Factorization of 7

Prime factors of 7 are 7. Prime factorization of 7 in exponential form is:

7 = 71

### Prime Factorization of 14

Prime factors of 14 are 2, 7. Prime factorization of 14 in exponential form is:

14 = 21 × 71

Now multiplying the highest exponent prime factors to calculate the LCM of 7 and 14.

LCM(7,14) = 71 × 21
LCM(7,14) = 14