What is the Least Common Multiple of 68310 and 68319?

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 68310 and 68319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68310 and 68319, than apply into the LCM equation.

GCF(68310,68319) = 9
LCM(68310,68319) = ( 68310 × 68319) / 9
LCM(68310,68319) = 4666870890 / 9
LCM(68310,68319) = 518541210

Least Common Multiple (LCM) of 68310 and 68319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68310 and 68319. First we will calculate the prime factors of 68310 and 68319.

Prime Factorization of 68310

Prime Factorization of 68319

Now multiplying the highest exponent prime factors to calculate the LCM of 68310 and 68319.

LCM(68310,68319) = 2¹ × 3³ × 5¹ × 11¹ × 23¹ × 7591¹
LCM(68310,68319) = 518541210