What is the Least Common Multiple of 68256 and 68276?

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 68256 and 68276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68256 and 68276, than apply into the LCM equation.

GCF(68256,68276) = 4
LCM(68256,68276) = ( 68256 × 68276) / 4
LCM(68256,68276) = 4660246656 / 4
LCM(68256,68276) = 1165061664

Least Common Multiple (LCM) of 68256 and 68276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68256 and 68276. First we will calculate the prime factors of 68256 and 68276.

Prime Factorization of 68256

Prime Factorization of 68276

Now multiplying the highest exponent prime factors to calculate the LCM of 68256 and 68276.

LCM(68256,68276) = 2⁵ × 3³ × 79¹ × 13² × 101¹
LCM(68256,68276) = 1165061664