What is the Least Common Multiple of 27384 and 27401?

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 27401 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 27401, than apply into the LCM equation.

GCF(27384,27401) = 1
LCM(27384,27401) = ( 27384 × 27401) / 1
LCM(27384,27401) = 750348984 / 1
LCM(27384,27401) = 750348984

Least Common Multiple (LCM) of 27384 and 27401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27384 and 27401. First we will calculate the prime factors of 27384 and 27401.

Prime Factorization of 27384

Prime Factorization of 27401

Now multiplying the highest exponent prime factors to calculate the LCM of 27384 and 27401.

LCM(27384,27401) = 2³ × 3¹ × 7¹ × 163¹ × 11¹ × 47¹ × 53¹
LCM(27384,27401) = 750348984