What is the Least Common Multiple of 48012 and 48024?

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 48012 and 48024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48012 and 48024, than apply into the LCM equation.

GCF(48012,48024) = 12
LCM(48012,48024) = ( 48012 × 48024) / 12
LCM(48012,48024) = 2305728288 / 12
LCM(48012,48024) = 192144024

Least Common Multiple (LCM) of 48012 and 48024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48012 and 48024. First we will calculate the prime factors of 48012 and 48024.

Prime Factorization of 48012

Prime Factorization of 48024

Now multiplying the highest exponent prime factors to calculate the LCM of 48012 and 48024.

LCM(48012,48024) = 2³ × 3² × 4001¹ × 23¹ × 29¹
LCM(48012,48024) = 192144024