What is the Least Common Multiple of 23286 and 23296?

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 23286 and 23296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23286 and 23296, than apply into the LCM equation.

GCF(23286,23296) = 2
LCM(23286,23296) = ( 23286 × 23296) / 2
LCM(23286,23296) = 542470656 / 2
LCM(23286,23296) = 271235328

Least Common Multiple (LCM) of 23286 and 23296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23286 and 23296. First we will calculate the prime factors of 23286 and 23296.

Prime Factorization of 23286

Prime Factorization of 23296

Now multiplying the highest exponent prime factors to calculate the LCM of 23286 and 23296.

LCM(23286,23296) = 2⁸ × 3¹ × 3881¹ × 7¹ × 13¹
LCM(23286,23296) = 271235328