What is the Least Common Multiple of 88305 and 88314?

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 88305 and 88314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88305 and 88314, than apply into the LCM equation.

GCF(88305,88314) = 3
LCM(88305,88314) = ( 88305 × 88314) / 3
LCM(88305,88314) = 7798567770 / 3
LCM(88305,88314) = 2599522590

Least Common Multiple (LCM) of 88305 and 88314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88305 and 88314. First we will calculate the prime factors of 88305 and 88314.

Prime Factorization of 88305

Prime Factorization of 88314

Now multiplying the highest exponent prime factors to calculate the LCM of 88305 and 88314.

LCM(88305,88314) = 3¹ × 5¹ × 7¹ × 29² × 2¹ × 41¹ × 359¹
LCM(88305,88314) = 2599522590