What is the Least Common Multiple of 27903 and 27912?

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 27903 and 27912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27903 and 27912, than apply into the LCM equation.

GCF(27903,27912) = 3
LCM(27903,27912) = ( 27903 × 27912) / 3
LCM(27903,27912) = 778828536 / 3
LCM(27903,27912) = 259609512

Least Common Multiple (LCM) of 27903 and 27912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27903 and 27912. First we will calculate the prime factors of 27903 and 27912.

Prime Factorization of 27903

Prime Factorization of 27912

Now multiplying the highest exponent prime factors to calculate the LCM of 27903 and 27912.

LCM(27903,27912) = 3¹ × 71¹ × 131¹ × 2³ × 1163¹
LCM(27903,27912) = 259609512