What is the Least Common Multiple of 18300 and 18312?

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 18300 and 18312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18300 and 18312, than apply into the LCM equation.

GCF(18300,18312) = 12
LCM(18300,18312) = ( 18300 × 18312) / 12
LCM(18300,18312) = 335109600 / 12
LCM(18300,18312) = 27925800

Least Common Multiple (LCM) of 18300 and 18312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18300 and 18312. First we will calculate the prime factors of 18300 and 18312.

Prime Factorization of 18300

Prime Factorization of 18312

Now multiplying the highest exponent prime factors to calculate the LCM of 18300 and 18312.

LCM(18300,18312) = 2³ × 3¹ × 5² × 61¹ × 7¹ × 109¹
LCM(18300,18312) = 27925800