What is the Least Common Multiple of 27288 and 27304?

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 27288 and 27304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27288 and 27304, than apply into the LCM equation.

GCF(27288,27304) = 8
LCM(27288,27304) = ( 27288 × 27304) / 8
LCM(27288,27304) = 745071552 / 8
LCM(27288,27304) = 93133944

Least Common Multiple (LCM) of 27288 and 27304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27288 and 27304. First we will calculate the prime factors of 27288 and 27304.

Prime Factorization of 27288

Prime Factorization of 27304

Now multiplying the highest exponent prime factors to calculate the LCM of 27288 and 27304.

LCM(27288,27304) = 2³ × 3² × 379¹ × 3413¹
LCM(27288,27304) = 93133944