What is the Least Common Multiple of 27384 and 27398?

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 27398 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 27398, than apply into the LCM equation.

GCF(27384,27398) = 14
LCM(27384,27398) = ( 27384 × 27398) / 14
LCM(27384,27398) = 750266832 / 14
LCM(27384,27398) = 53590488

Least Common Multiple (LCM) of 27384 and 27398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27384 and 27398. First we will calculate the prime factors of 27384 and 27398.

Prime Factorization of 27384

Prime Factorization of 27398

Now multiplying the highest exponent prime factors to calculate the LCM of 27384 and 27398.

LCM(27384,27398) = 2³ × 3¹ × 7¹ × 163¹ × 19¹ × 103¹
LCM(27384,27398) = 53590488