What is the Least Common Multiple of 68308 and 68326?

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 68308 and 68326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68308 and 68326, than apply into the LCM equation.

GCF(68308,68326) = 2
LCM(68308,68326) = ( 68308 × 68326) / 2
LCM(68308,68326) = 4667212408 / 2
LCM(68308,68326) = 2333606204

Least Common Multiple (LCM) of 68308 and 68326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68308 and 68326. First we will calculate the prime factors of 68308 and 68326.

Prime Factorization of 68308

Prime Factorization of 68326

Now multiplying the highest exponent prime factors to calculate the LCM of 68308 and 68326.

LCM(68308,68326) = 2² × 17077¹ × 127¹ × 269¹
LCM(68308,68326) = 2333606204