What is the Least Common Multiple of 9003 and 9012?

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 9003 and 9012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9003 and 9012, than apply into the LCM equation.

GCF(9003,9012) = 3
LCM(9003,9012) = ( 9003 × 9012) / 3
LCM(9003,9012) = 81135036 / 3
LCM(9003,9012) = 27045012

Least Common Multiple (LCM) of 9003 and 9012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9003 and 9012. First we will calculate the prime factors of 9003 and 9012.

Prime Factorization of 9003

Prime Factorization of 9012

Now multiplying the highest exponent prime factors to calculate the LCM of 9003 and 9012.

LCM(9003,9012) = 3¹ × 3001¹ × 2² × 751¹
LCM(9003,9012) = 27045012