What is the Least Common Multiple of 27384 and 27399?

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 27384 and 27399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27384 and 27399, than apply into the LCM equation.

GCF(27384,27399) = 3
LCM(27384,27399) = ( 27384 × 27399) / 3
LCM(27384,27399) = 750294216 / 3
LCM(27384,27399) = 250098072

Least Common Multiple (LCM) of 27384 and 27399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27384 and 27399. First we will calculate the prime factors of 27384 and 27399.

Prime Factorization of 27384

Prime Factorization of 27399

Now multiplying the highest exponent prime factors to calculate the LCM of 27384 and 27399.

LCM(27384,27399) = 2³ × 3¹ × 7¹ × 163¹ × 9133¹
LCM(27384,27399) = 250098072