What is the Least Common Multiple of 16075 and 16090?

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 16075 and 16090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16075 and 16090, than apply into the LCM equation.

GCF(16075,16090) = 5
LCM(16075,16090) = ( 16075 × 16090) / 5
LCM(16075,16090) = 258646750 / 5
LCM(16075,16090) = 51729350

Least Common Multiple (LCM) of 16075 and 16090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16075 and 16090. First we will calculate the prime factors of 16075 and 16090.

Prime Factorization of 16075

Prime Factorization of 16090

Now multiplying the highest exponent prime factors to calculate the LCM of 16075 and 16090.

LCM(16075,16090) = 5² × 643¹ × 2¹ × 1609¹
LCM(16075,16090) = 51729350