What is the Least Common Multiple of 18936 and 18946?

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 18936 and 18946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18936 and 18946, than apply into the LCM equation.

GCF(18936,18946) = 2
LCM(18936,18946) = ( 18936 × 18946) / 2
LCM(18936,18946) = 358761456 / 2
LCM(18936,18946) = 179380728

Least Common Multiple (LCM) of 18936 and 18946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18936 and 18946. First we will calculate the prime factors of 18936 and 18946.

Prime Factorization of 18936

Prime Factorization of 18946

Now multiplying the highest exponent prime factors to calculate the LCM of 18936 and 18946.

LCM(18936,18946) = 2³ × 3² × 263¹ × 9473¹
LCM(18936,18946) = 179380728