What is the Least Common Multiple of 19203 and 19212?

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 19203 and 19212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19203 and 19212, than apply into the LCM equation.

GCF(19203,19212) = 3
LCM(19203,19212) = ( 19203 × 19212) / 3
LCM(19203,19212) = 368928036 / 3
LCM(19203,19212) = 122976012

Least Common Multiple (LCM) of 19203 and 19212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19203 and 19212. First we will calculate the prime factors of 19203 and 19212.

Prime Factorization of 19203

Prime Factorization of 19212

Now multiplying the highest exponent prime factors to calculate the LCM of 19203 and 19212.

LCM(19203,19212) = 3¹ × 37¹ × 173¹ × 2² × 1601¹
LCM(19203,19212) = 122976012