What is the Least Common Multiple of 16056 and 16068?

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 16056 and 16068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16056 and 16068, than apply into the LCM equation.

GCF(16056,16068) = 12
LCM(16056,16068) = ( 16056 × 16068) / 12
LCM(16056,16068) = 257987808 / 12
LCM(16056,16068) = 21498984

Least Common Multiple (LCM) of 16056 and 16068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16056 and 16068. First we will calculate the prime factors of 16056 and 16068.

Prime Factorization of 16056

Prime Factorization of 16068

Now multiplying the highest exponent prime factors to calculate the LCM of 16056 and 16068.

LCM(16056,16068) = 2³ × 3² × 223¹ × 13¹ × 103¹
LCM(16056,16068) = 21498984