What is the Least Common Multiple of 16072 and 16086?

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 16072 and 16086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16072 and 16086, than apply into the LCM equation.

GCF(16072,16086) = 14
LCM(16072,16086) = ( 16072 × 16086) / 14
LCM(16072,16086) = 258534192 / 14
LCM(16072,16086) = 18466728

Least Common Multiple (LCM) of 16072 and 16086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16072 and 16086. First we will calculate the prime factors of 16072 and 16086.

Prime Factorization of 16072

Prime Factorization of 16086

Now multiplying the highest exponent prime factors to calculate the LCM of 16072 and 16086.

LCM(16072,16086) = 2³ × 7² × 41¹ × 3¹ × 383¹
LCM(16072,16086) = 18466728