What is the Least Common Multiple of 39384 and 39396?

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 39384 and 39396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39384 and 39396, than apply into the LCM equation.

GCF(39384,39396) = 12
LCM(39384,39396) = ( 39384 × 39396) / 12
LCM(39384,39396) = 1551572064 / 12
LCM(39384,39396) = 129297672

Least Common Multiple (LCM) of 39384 and 39396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39384 and 39396. First we will calculate the prime factors of 39384 and 39396.

Prime Factorization of 39384

Prime Factorization of 39396

Now multiplying the highest exponent prime factors to calculate the LCM of 39384 and 39396.

LCM(39384,39396) = 2³ × 3² × 547¹ × 7² × 67¹
LCM(39384,39396) = 129297672