What is the Least Common Multiple of 18921 and 18936?

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 18921 and 18936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18921 and 18936, than apply into the LCM equation.

GCF(18921,18936) = 3
LCM(18921,18936) = ( 18921 × 18936) / 3
LCM(18921,18936) = 358288056 / 3
LCM(18921,18936) = 119429352

Least Common Multiple (LCM) of 18921 and 18936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18921 and 18936. First we will calculate the prime factors of 18921 and 18936.

Prime Factorization of 18921

Prime Factorization of 18936

Now multiplying the highest exponent prime factors to calculate the LCM of 18921 and 18936.

LCM(18921,18936) = 3² × 7¹ × 17¹ × 53¹ × 2³ × 263¹
LCM(18921,18936) = 119429352