What is the Least Common Multiple of 23328 and 23332?

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 23328 and 23332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23328 and 23332, than apply into the LCM equation.

GCF(23328,23332) = 4
LCM(23328,23332) = ( 23328 × 23332) / 4
LCM(23328,23332) = 544288896 / 4
LCM(23328,23332) = 136072224

Least Common Multiple (LCM) of 23328 and 23332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23328 and 23332. First we will calculate the prime factors of 23328 and 23332.

Prime Factorization of 23328

Prime Factorization of 23332

Now multiplying the highest exponent prime factors to calculate the LCM of 23328 and 23332.

LCM(23328,23332) = 2⁵ × 3⁶ × 19¹ × 307¹
LCM(23328,23332) = 136072224