What is the Least Common Multiple of 28305 and 28314?

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 28305 and 28314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28305 and 28314, than apply into the LCM equation.

GCF(28305,28314) = 9
LCM(28305,28314) = ( 28305 × 28314) / 9
LCM(28305,28314) = 801427770 / 9
LCM(28305,28314) = 89047530

Least Common Multiple (LCM) of 28305 and 28314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28305 and 28314. First we will calculate the prime factors of 28305 and 28314.

Prime Factorization of 28305

Prime Factorization of 28314

Now multiplying the highest exponent prime factors to calculate the LCM of 28305 and 28314.

LCM(28305,28314) = 3² × 5¹ × 17¹ × 37¹ × 2¹ × 11² × 13¹
LCM(28305,28314) = 89047530