What is the Least Common Multiple of 59992 and 60012?

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 59992 and 60012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59992 and 60012, than apply into the LCM equation.

GCF(59992,60012) = 4
LCM(59992,60012) = ( 59992 × 60012) / 4
LCM(59992,60012) = 3600239904 / 4
LCM(59992,60012) = 900059976

Least Common Multiple (LCM) of 59992 and 60012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59992 and 60012. First we will calculate the prime factors of 59992 and 60012.

Prime Factorization of 59992

Prime Factorization of 60012

Now multiplying the highest exponent prime factors to calculate the LCM of 59992 and 60012.

LCM(59992,60012) = 2³ × 7499¹ × 3² × 1667¹
LCM(59992,60012) = 900059976