What is the Least Common Multiple of 27324 and 27336?

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 27324 and 27336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27324 and 27336, than apply into the LCM equation.

GCF(27324,27336) = 12
LCM(27324,27336) = ( 27324 × 27336) / 12
LCM(27324,27336) = 746928864 / 12
LCM(27324,27336) = 62244072

Least Common Multiple (LCM) of 27324 and 27336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27324 and 27336. First we will calculate the prime factors of 27324 and 27336.

Prime Factorization of 27324

Prime Factorization of 27336

Now multiplying the highest exponent prime factors to calculate the LCM of 27324 and 27336.

LCM(27324,27336) = 2³ × 3³ × 11¹ × 23¹ × 17¹ × 67¹
LCM(27324,27336) = 62244072