What is the Least Common Multiple of 16305 and 16314?

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 16305 and 16314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16305 and 16314, than apply into the LCM equation.

GCF(16305,16314) = 3
LCM(16305,16314) = ( 16305 × 16314) / 3
LCM(16305,16314) = 265999770 / 3
LCM(16305,16314) = 88666590

Least Common Multiple (LCM) of 16305 and 16314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16305 and 16314. First we will calculate the prime factors of 16305 and 16314.

Prime Factorization of 16305

Prime Factorization of 16314

Now multiplying the highest exponent prime factors to calculate the LCM of 16305 and 16314.

LCM(16305,16314) = 3¹ × 5¹ × 1087¹ × 2¹ × 2719¹
LCM(16305,16314) = 88666590