What is the Least Common Multiple of 19632 and 19644?

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 19632 and 19644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19632 and 19644, than apply into the LCM equation.

GCF(19632,19644) = 12
LCM(19632,19644) = ( 19632 × 19644) / 12
LCM(19632,19644) = 385651008 / 12
LCM(19632,19644) = 32137584

Least Common Multiple (LCM) of 19632 and 19644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19632 and 19644. First we will calculate the prime factors of 19632 and 19644.

Prime Factorization of 19632

Prime Factorization of 19644

Now multiplying the highest exponent prime factors to calculate the LCM of 19632 and 19644.

LCM(19632,19644) = 2⁴ × 3¹ × 409¹ × 1637¹
LCM(19632,19644) = 32137584