What is the Least Common Multiple of 19038 and 19056?

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 19038 and 19056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19038 and 19056, than apply into the LCM equation.

GCF(19038,19056) = 6
LCM(19038,19056) = ( 19038 × 19056) / 6
LCM(19038,19056) = 362788128 / 6
LCM(19038,19056) = 60464688

Least Common Multiple (LCM) of 19038 and 19056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19038 and 19056. First we will calculate the prime factors of 19038 and 19056.

Prime Factorization of 19038

Prime Factorization of 19056

Now multiplying the highest exponent prime factors to calculate the LCM of 19038 and 19056.

LCM(19038,19056) = 2⁴ × 3¹ × 19¹ × 167¹ × 397¹
LCM(19038,19056) = 60464688