What is the Least Common Multiple of 19116 and 19128?

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 19116 and 19128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19116 and 19128, than apply into the LCM equation.

GCF(19116,19128) = 12
LCM(19116,19128) = ( 19116 × 19128) / 12
LCM(19116,19128) = 365650848 / 12
LCM(19116,19128) = 30470904

Least Common Multiple (LCM) of 19116 and 19128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19116 and 19128. First we will calculate the prime factors of 19116 and 19128.

Prime Factorization of 19116

Prime Factorization of 19128

Now multiplying the highest exponent prime factors to calculate the LCM of 19116 and 19128.

LCM(19116,19128) = 2³ × 3⁴ × 59¹ × 797¹
LCM(19116,19128) = 30470904