What is the Least Common Multiple of 39372 and 39384?

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 39372 and 39384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39372 and 39384, than apply into the LCM equation.

GCF(39372,39384) = 12
LCM(39372,39384) = ( 39372 × 39384) / 12
LCM(39372,39384) = 1550626848 / 12
LCM(39372,39384) = 129218904

Least Common Multiple (LCM) of 39372 and 39384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39372 and 39384. First we will calculate the prime factors of 39372 and 39384.

Prime Factorization of 39372

Prime Factorization of 39384

Now multiplying the highest exponent prime factors to calculate the LCM of 39372 and 39384.

LCM(39372,39384) = 2³ × 3² × 17¹ × 193¹ × 547¹
LCM(39372,39384) = 129218904