What is the Least Common Multiple of 60012 and 60024?

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 60012 and 60024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60012 and 60024, than apply into the LCM equation.

GCF(60012,60024) = 12
LCM(60012,60024) = ( 60012 × 60024) / 12
LCM(60012,60024) = 3602160288 / 12
LCM(60012,60024) = 300180024

Least Common Multiple (LCM) of 60012 and 60024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60012 and 60024. First we will calculate the prime factors of 60012 and 60024.

Prime Factorization of 60012

Prime Factorization of 60024

Now multiplying the highest exponent prime factors to calculate the LCM of 60012 and 60024.

LCM(60012,60024) = 2³ × 3² × 1667¹ × 41¹ × 61¹
LCM(60012,60024) = 300180024