What is the Least Common Multiple of 12483 and 12498?

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 12483 and 12498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12483 and 12498, than apply into the LCM equation.

GCF(12483,12498) = 3
LCM(12483,12498) = ( 12483 × 12498) / 3
LCM(12483,12498) = 156012534 / 3
LCM(12483,12498) = 52004178

Least Common Multiple (LCM) of 12483 and 12498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12483 and 12498. First we will calculate the prime factors of 12483 and 12498.

Prime Factorization of 12483

Prime Factorization of 12498

Now multiplying the highest exponent prime factors to calculate the LCM of 12483 and 12498.

LCM(12483,12498) = 3² × 19¹ × 73¹ × 2¹ × 2083¹
LCM(12483,12498) = 52004178