What is the Least Common Multiple of 19458 and 19478?

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 19458 and 19478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19458 and 19478, than apply into the LCM equation.

GCF(19458,19478) = 2
LCM(19458,19478) = ( 19458 × 19478) / 2
LCM(19458,19478) = 379002924 / 2
LCM(19458,19478) = 189501462

Least Common Multiple (LCM) of 19458 and 19478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19458 and 19478. First we will calculate the prime factors of 19458 and 19478.

Prime Factorization of 19458

Prime Factorization of 19478

Now multiplying the highest exponent prime factors to calculate the LCM of 19458 and 19478.

LCM(19458,19478) = 2¹ × 3² × 23¹ × 47¹ × 9739¹
LCM(19458,19478) = 189501462