What is the Least Common Multiple of 27304 and 27324?

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 27304 and 27324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27304 and 27324, than apply into the LCM equation.

GCF(27304,27324) = 4
LCM(27304,27324) = ( 27304 × 27324) / 4
LCM(27304,27324) = 746054496 / 4
LCM(27304,27324) = 186513624

Least Common Multiple (LCM) of 27304 and 27324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27304 and 27324. First we will calculate the prime factors of 27304 and 27324.

Prime Factorization of 27304

Prime Factorization of 27324

Now multiplying the highest exponent prime factors to calculate the LCM of 27304 and 27324.

LCM(27304,27324) = 2³ × 3413¹ × 3³ × 11¹ × 23¹
LCM(27304,27324) = 186513624