What is the Least Common Multiple of 19896 and 19905?

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 19896 and 19905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19896 and 19905, than apply into the LCM equation.

GCF(19896,19905) = 3
LCM(19896,19905) = ( 19896 × 19905) / 3
LCM(19896,19905) = 396029880 / 3
LCM(19896,19905) = 132009960

Least Common Multiple (LCM) of 19896 and 19905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19896 and 19905. First we will calculate the prime factors of 19896 and 19905.

Prime Factorization of 19896

Prime Factorization of 19905

Now multiplying the highest exponent prime factors to calculate the LCM of 19896 and 19905.

LCM(19896,19905) = 2³ × 3¹ × 829¹ × 5¹ × 1327¹
LCM(19896,19905) = 132009960