What is the Least Common Multiple of 16072 and 16089?

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 16089 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 16089, than apply into the LCM equation.

GCF(16072,16089) = 1
LCM(16072,16089) = ( 16072 × 16089) / 1
LCM(16072,16089) = 258582408 / 1
LCM(16072,16089) = 258582408

Least Common Multiple (LCM) of 16072 and 16089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16072 and 16089. First we will calculate the prime factors of 16072 and 16089.

Prime Factorization of 16072

Prime Factorization of 16089

Now multiplying the highest exponent prime factors to calculate the LCM of 16072 and 16089.

LCM(16072,16089) = 2³ × 7² × 41¹ × 3¹ × 31¹ × 173¹
LCM(16072,16089) = 258582408