What is the Least Common Multiple of 19903 and 19916?

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 19903 and 19916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19903 and 19916, than apply into the LCM equation.

GCF(19903,19916) = 13
LCM(19903,19916) = ( 19903 × 19916) / 13
LCM(19903,19916) = 396388148 / 13
LCM(19903,19916) = 30491396

Least Common Multiple (LCM) of 19903 and 19916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19903 and 19916. First we will calculate the prime factors of 19903 and 19916.

Prime Factorization of 19903

Prime Factorization of 19916

Now multiplying the highest exponent prime factors to calculate the LCM of 19903 and 19916.

LCM(19903,19916) = 13¹ × 1531¹ × 2² × 383¹
LCM(19903,19916) = 30491396