What is the Least Common Multiple of 18288 and 18308?

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 18308 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 18308, than apply into the LCM equation.

GCF(18288,18308) = 4
LCM(18288,18308) = ( 18288 × 18308) / 4
LCM(18288,18308) = 334816704 / 4
LCM(18288,18308) = 83704176

Least Common Multiple (LCM) of 18288 and 18308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18288 and 18308. First we will calculate the prime factors of 18288 and 18308.

Prime Factorization of 18288

Prime Factorization of 18308

Now multiplying the highest exponent prime factors to calculate the LCM of 18288 and 18308.

LCM(18288,18308) = 2⁴ × 3² × 127¹ × 23¹ × 199¹
LCM(18288,18308) = 83704176