What is the Least Common Multiple of 19854 and 19865?

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 19854 and 19865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19854 and 19865, than apply into the LCM equation.

GCF(19854,19865) = 1
LCM(19854,19865) = ( 19854 × 19865) / 1
LCM(19854,19865) = 394399710 / 1
LCM(19854,19865) = 394399710

Least Common Multiple (LCM) of 19854 and 19865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19854 and 19865. First we will calculate the prime factors of 19854 and 19865.

Prime Factorization of 19854

Prime Factorization of 19865

Now multiplying the highest exponent prime factors to calculate the LCM of 19854 and 19865.

LCM(19854,19865) = 2¹ × 3² × 1103¹ × 5¹ × 29¹ × 137¹
LCM(19854,19865) = 394399710