What is the Least Common Multiple of 92256 and 92274?

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 92274 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 92274, than apply into the LCM equation.

GCF(92256,92274) = 6
LCM(92256,92274) = ( 92256 × 92274) / 6
LCM(92256,92274) = 8512830144 / 6
LCM(92256,92274) = 1418805024

Least Common Multiple (LCM) of 92256 and 92274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92256 and 92274. First we will calculate the prime factors of 92256 and 92274.

Prime Factorization of 92256

Prime Factorization of 92274

Now multiplying the highest exponent prime factors to calculate the LCM of 92256 and 92274.

LCM(92256,92274) = 2⁵ × 3¹ × 31² × 7¹ × 13³
LCM(92256,92274) = 1418805024