What is the Least Common Multiple of 19176 and 19188?

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 19176 and 19188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19176 and 19188, than apply into the LCM equation.

GCF(19176,19188) = 12
LCM(19176,19188) = ( 19176 × 19188) / 12
LCM(19176,19188) = 367949088 / 12
LCM(19176,19188) = 30662424

Least Common Multiple (LCM) of 19176 and 19188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19176 and 19188. First we will calculate the prime factors of 19176 and 19188.

Prime Factorization of 19176

Prime Factorization of 19188

Now multiplying the highest exponent prime factors to calculate the LCM of 19176 and 19188.

LCM(19176,19188) = 2³ × 3² × 17¹ × 47¹ × 13¹ × 41¹
LCM(19176,19188) = 30662424