What is the Least Common Multiple of 16044 and 16056?

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 16044 and 16056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16044 and 16056, than apply into the LCM equation.

GCF(16044,16056) = 12
LCM(16044,16056) = ( 16044 × 16056) / 12
LCM(16044,16056) = 257602464 / 12
LCM(16044,16056) = 21466872

Least Common Multiple (LCM) of 16044 and 16056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16044 and 16056. First we will calculate the prime factors of 16044 and 16056.

Prime Factorization of 16044

Prime Factorization of 16056

Now multiplying the highest exponent prime factors to calculate the LCM of 16044 and 16056.

LCM(16044,16056) = 2³ × 3² × 7¹ × 191¹ × 223¹
LCM(16044,16056) = 21466872