What is the Least Common Multiple of 11992 and 12004?

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 11992 and 12004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11992 and 12004, than apply into the LCM equation.

GCF(11992,12004) = 4
LCM(11992,12004) = ( 11992 × 12004) / 4
LCM(11992,12004) = 143951968 / 4
LCM(11992,12004) = 35987992

Least Common Multiple (LCM) of 11992 and 12004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11992 and 12004. First we will calculate the prime factors of 11992 and 12004.

Prime Factorization of 11992

Prime Factorization of 12004

Now multiplying the highest exponent prime factors to calculate the LCM of 11992 and 12004.

LCM(11992,12004) = 2³ × 1499¹ × 3001¹
LCM(11992,12004) = 35987992