What is the Least Common Multiple of 92256 and 92268?

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 92256 and 92268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92256 and 92268, than apply into the LCM equation.

GCF(92256,92268) = 12
LCM(92256,92268) = ( 92256 × 92268) / 12
LCM(92256,92268) = 8512276608 / 12
LCM(92256,92268) = 709356384

Least Common Multiple (LCM) of 92256 and 92268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92256 and 92268. First we will calculate the prime factors of 92256 and 92268.

Prime Factorization of 92256

Prime Factorization of 92268

Now multiplying the highest exponent prime factors to calculate the LCM of 92256 and 92268.

LCM(92256,92268) = 2⁵ × 3² × 31² × 11¹ × 233¹
LCM(92256,92268) = 709356384