What is the Least Common Multiple of 19884 and 19896?

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 19884 and 19896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19884 and 19896, than apply into the LCM equation.

GCF(19884,19896) = 12
LCM(19884,19896) = ( 19884 × 19896) / 12
LCM(19884,19896) = 395612064 / 12
LCM(19884,19896) = 32967672

Least Common Multiple (LCM) of 19884 and 19896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19884 and 19896. First we will calculate the prime factors of 19884 and 19896.

Prime Factorization of 19884

Prime Factorization of 19896

Now multiplying the highest exponent prime factors to calculate the LCM of 19884 and 19896.

LCM(19884,19896) = 2³ × 3¹ × 1657¹ × 829¹
LCM(19884,19896) = 32967672