What is the Least Common Multiple of 9003 and 9021?

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 9021 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 9021, than apply into the LCM equation.

GCF(9003,9021) = 3
LCM(9003,9021) = ( 9003 × 9021) / 3
LCM(9003,9021) = 81216063 / 3
LCM(9003,9021) = 27072021

Least Common Multiple (LCM) of 9003 and 9021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9003 and 9021. First we will calculate the prime factors of 9003 and 9021.

Prime Factorization of 9003

Prime Factorization of 9021

Now multiplying the highest exponent prime factors to calculate the LCM of 9003 and 9021.

LCM(9003,9021) = 3¹ × 3001¹ × 31¹ × 97¹
LCM(9003,9021) = 27072021