What is the Least Common Multiple of 92296 and 92306?

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 92306 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 92306, than apply into the LCM equation.

GCF(92296,92306) = 2
LCM(92296,92306) = ( 92296 × 92306) / 2
LCM(92296,92306) = 8519474576 / 2
LCM(92296,92306) = 4259737288

Least Common Multiple (LCM) of 92296 and 92306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92296 and 92306. First we will calculate the prime factors of 92296 and 92306.

Prime Factorization of 92296

Prime Factorization of 92306

Now multiplying the highest exponent prime factors to calculate the LCM of 92296 and 92306.

LCM(92296,92306) = 2³ × 83¹ × 139¹ × 46153¹
LCM(92296,92306) = 4259737288