What is the Least Common Multiple of 11997 and 12003?

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 11997 and 12003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11997 and 12003, than apply into the LCM equation.

GCF(11997,12003) = 3
LCM(11997,12003) = ( 11997 × 12003) / 3
LCM(11997,12003) = 143999991 / 3
LCM(11997,12003) = 47999997

Least Common Multiple (LCM) of 11997 and 12003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11997 and 12003. First we will calculate the prime factors of 11997 and 12003.

Prime Factorization of 11997

Prime Factorization of 12003

Now multiplying the highest exponent prime factors to calculate the LCM of 11997 and 12003.

LCM(11997,12003) = 3² × 31¹ × 43¹ × 4001¹
LCM(11997,12003) = 47999997