What is the Least Common Multiple of 16110 and 16125?

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 16110 and 16125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16110 and 16125, than apply into the LCM equation.

GCF(16110,16125) = 15
LCM(16110,16125) = ( 16110 × 16125) / 15
LCM(16110,16125) = 259773750 / 15
LCM(16110,16125) = 17318250

Least Common Multiple (LCM) of 16110 and 16125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16110 and 16125. First we will calculate the prime factors of 16110 and 16125.

Prime Factorization of 16110

Prime Factorization of 16125

Now multiplying the highest exponent prime factors to calculate the LCM of 16110 and 16125.

LCM(16110,16125) = 2¹ × 3² × 5³ × 179¹ × 43¹
LCM(16110,16125) = 17318250