What is the Least Common Multiple of 48012 and 48018?

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 48018 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 48018, than apply into the LCM equation.

GCF(48012,48018) = 6
LCM(48012,48018) = ( 48012 × 48018) / 6
LCM(48012,48018) = 2305440216 / 6
LCM(48012,48018) = 384240036

Least Common Multiple (LCM) of 48012 and 48018 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48012 and 48018. First we will calculate the prime factors of 48012 and 48018.

Prime Factorization of 48012

Prime Factorization of 48018

Now multiplying the highest exponent prime factors to calculate the LCM of 48012 and 48018.

LCM(48012,48018) = 2² × 3¹ × 4001¹ × 53¹ × 151¹
LCM(48012,48018) = 384240036