What is the Least Common Multiple of 14976 and 14994?

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 of 14976 and 14994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14976 and 14994, than apply into the LCM equation.

GCF(14976,14994) = 18
LCM(14976,14994) = ( 14976 × 14994) / 18
LCM(14976,14994) = 224550144 / 18
LCM(14976,14994) = 12475008

Least Common Multiple (LCM) of 14976 and 14994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14976 and 14994. First we will calculate the prime factors of 14976 and 14994.

Prime Factorization of 14976

Prime Factorization of 14994

Now multiplying the highest exponent prime factors to calculate the LCM of 14976 and 14994.

LCM(14976,14994) = 2⁷ × 3² × 13¹ × 7² × 17¹
LCM(14976,14994) = 12475008