What is the Least Common Multiple of 19016 and 19034?

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 19016 and 19034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19016 and 19034, than apply into the LCM equation.

GCF(19016,19034) = 2
LCM(19016,19034) = ( 19016 × 19034) / 2
LCM(19016,19034) = 361950544 / 2
LCM(19016,19034) = 180975272

Least Common Multiple (LCM) of 19016 and 19034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19016 and 19034. First we will calculate the prime factors of 19016 and 19034.

Prime Factorization of 19016

Prime Factorization of 19034

Now multiplying the highest exponent prime factors to calculate the LCM of 19016 and 19034.

LCM(19016,19034) = 2³ × 2377¹ × 31¹ × 307¹
LCM(19016,19034) = 180975272