What is the Least Common Multiple of 12009 and 12027?

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 12009 and 12027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12009 and 12027, than apply into the LCM equation.

GCF(12009,12027) = 3
LCM(12009,12027) = ( 12009 × 12027) / 3
LCM(12009,12027) = 144432243 / 3
LCM(12009,12027) = 48144081

Least Common Multiple (LCM) of 12009 and 12027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12009 and 12027. First we will calculate the prime factors of 12009 and 12027.

Prime Factorization of 12009

Prime Factorization of 12027

Now multiplying the highest exponent prime factors to calculate the LCM of 12009 and 12027.

LCM(12009,12027) = 3¹ × 4003¹ × 19¹ × 211¹
LCM(12009,12027) = 48144081