What is the Least Common Multiple of 27324 and 27344?

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 27344 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 27344, than apply into the LCM equation.

GCF(27324,27344) = 4
LCM(27324,27344) = ( 27324 × 27344) / 4
LCM(27324,27344) = 747147456 / 4
LCM(27324,27344) = 186786864

Least Common Multiple (LCM) of 27324 and 27344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27324 and 27344. First we will calculate the prime factors of 27324 and 27344.

Prime Factorization of 27324

Prime Factorization of 27344

Now multiplying the highest exponent prime factors to calculate the LCM of 27324 and 27344.

LCM(27324,27344) = 2⁴ × 3³ × 11¹ × 23¹ × 1709¹
LCM(27324,27344) = 186786864