What is the Least Common Multiple of 39324 and 39336?

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 39324 and 39336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39324 and 39336, than apply into the LCM equation.

GCF(39324,39336) = 12
LCM(39324,39336) = ( 39324 × 39336) / 12
LCM(39324,39336) = 1546848864 / 12
LCM(39324,39336) = 128904072

Least Common Multiple (LCM) of 39324 and 39336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39324 and 39336. First we will calculate the prime factors of 39324 and 39336.

Prime Factorization of 39324

Prime Factorization of 39336

Now multiplying the highest exponent prime factors to calculate the LCM of 39324 and 39336.

LCM(39324,39336) = 2³ × 3¹ × 29¹ × 113¹ × 11¹ × 149¹
LCM(39324,39336) = 128904072