What is the Least Common Multiple of 19056 and 19071?

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 19056 and 19071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19056 and 19071, than apply into the LCM equation.

GCF(19056,19071) = 3
LCM(19056,19071) = ( 19056 × 19071) / 3
LCM(19056,19071) = 363416976 / 3
LCM(19056,19071) = 121138992

Least Common Multiple (LCM) of 19056 and 19071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19056 and 19071. First we will calculate the prime factors of 19056 and 19071.

Prime Factorization of 19056

Prime Factorization of 19071

Now multiplying the highest exponent prime factors to calculate the LCM of 19056 and 19071.

LCM(19056,19071) = 2⁴ × 3² × 397¹ × 13¹ × 163¹
LCM(19056,19071) = 121138992