What is the Least Common Multiple of 88305 and 88321?

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 88321 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 88321, than apply into the LCM equation.

GCF(88305,88321) = 1
LCM(88305,88321) = ( 88305 × 88321) / 1
LCM(88305,88321) = 7799185905 / 1
LCM(88305,88321) = 7799185905

Least Common Multiple (LCM) of 88305 and 88321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88305 and 88321. First we will calculate the prime factors of 88305 and 88321.

Prime Factorization of 88305

Prime Factorization of 88321

Now multiplying the highest exponent prime factors to calculate the LCM of 88305 and 88321.

LCM(88305,88321) = 3¹ × 5¹ × 7¹ × 29² × 88321¹
LCM(88305,88321) = 7799185905