What is the Least Common Multiple of 16072 and 16087?

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 16087 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 16087, than apply into the LCM equation.

GCF(16072,16087) = 1
LCM(16072,16087) = ( 16072 × 16087) / 1
LCM(16072,16087) = 258550264 / 1
LCM(16072,16087) = 258550264

Least Common Multiple (LCM) of 16072 and 16087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16072 and 16087. First we will calculate the prime factors of 16072 and 16087.

Prime Factorization of 16072

Prime Factorization of 16087

Now multiplying the highest exponent prime factors to calculate the LCM of 16072 and 16087.

LCM(16072,16087) = 2³ × 7² × 41¹ × 16087¹
LCM(16072,16087) = 258550264