What is the Least Common Multiple of 18288 and 18300?

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 18288 and 18300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18288 and 18300, than apply into the LCM equation.

GCF(18288,18300) = 12
LCM(18288,18300) = ( 18288 × 18300) / 12
LCM(18288,18300) = 334670400 / 12
LCM(18288,18300) = 27889200

Least Common Multiple (LCM) of 18288 and 18300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18288 and 18300. First we will calculate the prime factors of 18288 and 18300.

Prime Factorization of 18288

Prime Factorization of 18300

Now multiplying the highest exponent prime factors to calculate the LCM of 18288 and 18300.

LCM(18288,18300) = 2⁴ × 3² × 127¹ × 5² × 61¹
LCM(18288,18300) = 27889200