What is the Least Common Multiple of 68288 and 68296?

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 68288 and 68296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68288 and 68296, than apply into the LCM equation.

GCF(68288,68296) = 8
LCM(68288,68296) = ( 68288 × 68296) / 8
LCM(68288,68296) = 4663797248 / 8
LCM(68288,68296) = 582974656

Least Common Multiple (LCM) of 68288 and 68296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68288 and 68296. First we will calculate the prime factors of 68288 and 68296.

Prime Factorization of 68288

Prime Factorization of 68296

Now multiplying the highest exponent prime factors to calculate the LCM of 68288 and 68296.

LCM(68288,68296) = 2⁶ × 11¹ × 97¹ × 8537¹
LCM(68288,68296) = 582974656