What is the Least Common Multiple of 23264 and 23282?

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 23264 and 23282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23264 and 23282, than apply into the LCM equation.

GCF(23264,23282) = 2
LCM(23264,23282) = ( 23264 × 23282) / 2
LCM(23264,23282) = 541632448 / 2
LCM(23264,23282) = 270816224

Least Common Multiple (LCM) of 23264 and 23282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23264 and 23282. First we will calculate the prime factors of 23264 and 23282.

Prime Factorization of 23264

Prime Factorization of 23282

Now multiplying the highest exponent prime factors to calculate the LCM of 23264 and 23282.

LCM(23264,23282) = 2⁵ × 727¹ × 7¹ × 1663¹
LCM(23264,23282) = 270816224