What is the Least Common Multiple of 19014 and 19032?

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 19014 and 19032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19014 and 19032, than apply into the LCM equation.

GCF(19014,19032) = 6
LCM(19014,19032) = ( 19014 × 19032) / 6
LCM(19014,19032) = 361874448 / 6
LCM(19014,19032) = 60312408

Least Common Multiple (LCM) of 19014 and 19032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19014 and 19032. First we will calculate the prime factors of 19014 and 19032.

Prime Factorization of 19014

Prime Factorization of 19032

Now multiplying the highest exponent prime factors to calculate the LCM of 19014 and 19032.

LCM(19014,19032) = 2³ × 3¹ × 3169¹ × 13¹ × 61¹
LCM(19014,19032) = 60312408