What is the Least Common Multiple of 68305 and 68317?

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 68305 and 68317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68305 and 68317, than apply into the LCM equation.

GCF(68305,68317) = 1
LCM(68305,68317) = ( 68305 × 68317) / 1
LCM(68305,68317) = 4666392685 / 1
LCM(68305,68317) = 4666392685

Least Common Multiple (LCM) of 68305 and 68317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68305 and 68317. First we will calculate the prime factors of 68305 and 68317.

Prime Factorization of 68305

Prime Factorization of 68317

Now multiplying the highest exponent prime factors to calculate the LCM of 68305 and 68317.

LCM(68305,68317) = 5¹ × 19¹ × 719¹ × 53¹ × 1289¹
LCM(68305,68317) = 4666392685