What is the Least Common Multiple of 16350 and 16365?

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 16350 and 16365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16350 and 16365, than apply into the LCM equation.

GCF(16350,16365) = 15
LCM(16350,16365) = ( 16350 × 16365) / 15
LCM(16350,16365) = 267567750 / 15
LCM(16350,16365) = 17837850

Least Common Multiple (LCM) of 16350 and 16365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16350 and 16365. First we will calculate the prime factors of 16350 and 16365.

Prime Factorization of 16350

Prime Factorization of 16365

Now multiplying the highest exponent prime factors to calculate the LCM of 16350 and 16365.

LCM(16350,16365) = 2¹ × 3¹ × 5² × 109¹ × 1091¹
LCM(16350,16365) = 17837850