What is the Least Common Multiple of 19288 and 19308?

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 19288 and 19308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19288 and 19308, than apply into the LCM equation.

GCF(19288,19308) = 4
LCM(19288,19308) = ( 19288 × 19308) / 4
LCM(19288,19308) = 372412704 / 4
LCM(19288,19308) = 93103176

Least Common Multiple (LCM) of 19288 and 19308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19288 and 19308. First we will calculate the prime factors of 19288 and 19308.

Prime Factorization of 19288

Prime Factorization of 19308

Now multiplying the highest exponent prime factors to calculate the LCM of 19288 and 19308.

LCM(19288,19308) = 2³ × 2411¹ × 3¹ × 1609¹
LCM(19288,19308) = 93103176