What is the Least Common Multiple of 19919 and 19928?

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 19919 and 19928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19919 and 19928, than apply into the LCM equation.

GCF(19919,19928) = 1
LCM(19919,19928) = ( 19919 × 19928) / 1
LCM(19919,19928) = 396945832 / 1
LCM(19919,19928) = 396945832

Least Common Multiple (LCM) of 19919 and 19928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19919 and 19928. First we will calculate the prime factors of 19919 and 19928.

Prime Factorization of 19919

Prime Factorization of 19928

Now multiplying the highest exponent prime factors to calculate the LCM of 19919 and 19928.

LCM(19919,19928) = 19919¹ × 2³ × 47¹ × 53¹
LCM(19919,19928) = 396945832