What is the Least Common Multiple of 19068 and 19078?

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 19068 and 19078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19068 and 19078, than apply into the LCM equation.

GCF(19068,19078) = 2
LCM(19068,19078) = ( 19068 × 19078) / 2
LCM(19068,19078) = 363779304 / 2
LCM(19068,19078) = 181889652

Least Common Multiple (LCM) of 19068 and 19078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19068 and 19078. First we will calculate the prime factors of 19068 and 19078.

Prime Factorization of 19068

Prime Factorization of 19078

Now multiplying the highest exponent prime factors to calculate the LCM of 19068 and 19078.

LCM(19068,19078) = 2² × 3¹ × 7¹ × 227¹ × 9539¹
LCM(19068,19078) = 181889652