What is the Least Common Multiple of 16056 and 16074?

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 16074 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 16074, than apply into the LCM equation.

GCF(16056,16074) = 18
LCM(16056,16074) = ( 16056 × 16074) / 18
LCM(16056,16074) = 258084144 / 18
LCM(16056,16074) = 14338008

Least Common Multiple (LCM) of 16056 and 16074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16056 and 16074. First we will calculate the prime factors of 16056 and 16074.

Prime Factorization of 16056

Prime Factorization of 16074

Now multiplying the highest exponent prime factors to calculate the LCM of 16056 and 16074.

LCM(16056,16074) = 2³ × 3² × 223¹ × 19¹ × 47¹
LCM(16056,16074) = 14338008