What is the Least Common Multiple of 92296 and 92314?

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 92296 and 92314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92296 and 92314, than apply into the LCM equation.

GCF(92296,92314) = 2
LCM(92296,92314) = ( 92296 × 92314) / 2
LCM(92296,92314) = 8520212944 / 2
LCM(92296,92314) = 4260106472

Least Common Multiple (LCM) of 92296 and 92314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92296 and 92314. First we will calculate the prime factors of 92296 and 92314.

Prime Factorization of 92296

Prime Factorization of 92314

Now multiplying the highest exponent prime factors to calculate the LCM of 92296 and 92314.

LCM(92296,92314) = 2³ × 83¹ × 139¹ × 101¹ × 457¹
LCM(92296,92314) = 4260106472