What is the Least Common Multiple of 27894 and 27903?

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 27894 and 27903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27894 and 27903, than apply into the LCM equation.

GCF(27894,27903) = 3
LCM(27894,27903) = ( 27894 × 27903) / 3
LCM(27894,27903) = 778326282 / 3
LCM(27894,27903) = 259442094

Least Common Multiple (LCM) of 27894 and 27903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27894 and 27903. First we will calculate the prime factors of 27894 and 27903.

Prime Factorization of 27894

Prime Factorization of 27903

Now multiplying the highest exponent prime factors to calculate the LCM of 27894 and 27903.

LCM(27894,27903) = 2¹ × 3¹ × 4649¹ × 71¹ × 131¹
LCM(27894,27903) = 259442094