What is the Least Common Multiple of 92296 and 92302?

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 92302 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 92302, than apply into the LCM equation.

GCF(92296,92302) = 2
LCM(92296,92302) = ( 92296 × 92302) / 2
LCM(92296,92302) = 8519105392 / 2
LCM(92296,92302) = 4259552696

Least Common Multiple (LCM) of 92296 and 92302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92296 and 92302. First we will calculate the prime factors of 92296 and 92302.

Prime Factorization of 92296

Prime Factorization of 92302

Now multiplying the highest exponent prime factors to calculate the LCM of 92296 and 92302.

LCM(92296,92302) = 2³ × 83¹ × 139¹ × 7¹ × 19¹ × 347¹
LCM(92296,92302) = 4259552696