What is the Least Common Multiple of 16365 and 16380?

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 16365 and 16380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16365 and 16380, than apply into the LCM equation.

GCF(16365,16380) = 15
LCM(16365,16380) = ( 16365 × 16380) / 15
LCM(16365,16380) = 268058700 / 15
LCM(16365,16380) = 17870580

Least Common Multiple (LCM) of 16365 and 16380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16365 and 16380. First we will calculate the prime factors of 16365 and 16380.

Prime Factorization of 16365

Prime Factorization of 16380

Now multiplying the highest exponent prime factors to calculate the LCM of 16365 and 16380.

LCM(16365,16380) = 3² × 5¹ × 1091¹ × 2² × 7¹ × 13¹
LCM(16365,16380) = 17870580