What is the Least Common Multiple of 19904 and 19912?

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 19904 and 19912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19904 and 19912, than apply into the LCM equation.

GCF(19904,19912) = 8
LCM(19904,19912) = ( 19904 × 19912) / 8
LCM(19904,19912) = 396328448 / 8
LCM(19904,19912) = 49541056

Least Common Multiple (LCM) of 19904 and 19912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19904 and 19912. First we will calculate the prime factors of 19904 and 19912.

Prime Factorization of 19904

Prime Factorization of 19912

Now multiplying the highest exponent prime factors to calculate the LCM of 19904 and 19912.

LCM(19904,19912) = 2⁶ × 311¹ × 19¹ × 131¹
LCM(19904,19912) = 49541056