What is the Least Common Multiple of 14976 and 14992?

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 14992 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 14992, than apply into the LCM equation.

GCF(14976,14992) = 16
LCM(14976,14992) = ( 14976 × 14992) / 16
LCM(14976,14992) = 224520192 / 16
LCM(14976,14992) = 14032512

Least Common Multiple (LCM) of 14976 and 14992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14976 and 14992. First we will calculate the prime factors of 14976 and 14992.

Prime Factorization of 14976

Prime Factorization of 14992

Now multiplying the highest exponent prime factors to calculate the LCM of 14976 and 14992.

LCM(14976,14992) = 2⁷ × 3² × 13¹ × 937¹
LCM(14976,14992) = 14032512