What is the Least Common Multiple of 8993 and 9003?

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 8993 and 9003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8993 and 9003, than apply into the LCM equation.

GCF(8993,9003) = 1
LCM(8993,9003) = ( 8993 × 9003) / 1
LCM(8993,9003) = 80963979 / 1
LCM(8993,9003) = 80963979

Least Common Multiple (LCM) of 8993 and 9003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8993 and 9003. First we will calculate the prime factors of 8993 and 9003.

Prime Factorization of 8993

Prime Factorization of 9003

Now multiplying the highest exponent prime factors to calculate the LCM of 8993 and 9003.

LCM(8993,9003) = 17¹ × 23² × 3¹ × 3001¹
LCM(8993,9003) = 80963979