What is the Least Common Multiple of 42012 and 42027?

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 42012 and 42027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42012 and 42027, than apply into the LCM equation.

GCF(42012,42027) = 3
LCM(42012,42027) = ( 42012 × 42027) / 3
LCM(42012,42027) = 1765638324 / 3
LCM(42012,42027) = 588546108

Least Common Multiple (LCM) of 42012 and 42027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42012 and 42027. First we will calculate the prime factors of 42012 and 42027.

Prime Factorization of 42012

Prime Factorization of 42027

Now multiplying the highest exponent prime factors to calculate the LCM of 42012 and 42027.

LCM(42012,42027) = 2² × 3³ × 389¹ × 14009¹
LCM(42012,42027) = 588546108