What is the Least Common Multiple of 19704 and 19722?

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 19704 and 19722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19704 and 19722, than apply into the LCM equation.

GCF(19704,19722) = 6
LCM(19704,19722) = ( 19704 × 19722) / 6
LCM(19704,19722) = 388602288 / 6
LCM(19704,19722) = 64767048

Least Common Multiple (LCM) of 19704 and 19722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19704 and 19722. First we will calculate the prime factors of 19704 and 19722.

Prime Factorization of 19704

Prime Factorization of 19722

Now multiplying the highest exponent prime factors to calculate the LCM of 19704 and 19722.

LCM(19704,19722) = 2³ × 3¹ × 821¹ × 19¹ × 173¹
LCM(19704,19722) = 64767048