What is the Least Common Multiple of 19893 and 19908?

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 19893 and 19908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19893 and 19908, than apply into the LCM equation.

GCF(19893,19908) = 3
LCM(19893,19908) = ( 19893 × 19908) / 3
LCM(19893,19908) = 396029844 / 3
LCM(19893,19908) = 132009948

Least Common Multiple (LCM) of 19893 and 19908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19893 and 19908. First we will calculate the prime factors of 19893 and 19908.

Prime Factorization of 19893

Prime Factorization of 19908

Now multiplying the highest exponent prime factors to calculate the LCM of 19893 and 19908.

LCM(19893,19908) = 3² × 19¹ × 349¹ × 2² × 7¹ × 79¹
LCM(19893,19908) = 132009948