What is the Least Common Multiple of 14976 and 14996?

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 14996 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 14996, than apply into the LCM equation.

GCF(14976,14996) = 4
LCM(14976,14996) = ( 14976 × 14996) / 4
LCM(14976,14996) = 224580096 / 4
LCM(14976,14996) = 56145024

Least Common Multiple (LCM) of 14976 and 14996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14976 and 14996. First we will calculate the prime factors of 14976 and 14996.

Prime Factorization of 14976

Prime Factorization of 14996

Now multiplying the highest exponent prime factors to calculate the LCM of 14976 and 14996.

LCM(14976,14996) = 2⁷ × 3² × 13¹ × 23¹ × 163¹
LCM(14976,14996) = 56145024