What is the Least Common Multiple of 23312 and 23322?

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 23312 and 23322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23312 and 23322, than apply into the LCM equation.

GCF(23312,23322) = 2
LCM(23312,23322) = ( 23312 × 23322) / 2
LCM(23312,23322) = 543682464 / 2
LCM(23312,23322) = 271841232

Least Common Multiple (LCM) of 23312 and 23322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23312 and 23322. First we will calculate the prime factors of 23312 and 23322.

Prime Factorization of 23312

Prime Factorization of 23322

Now multiplying the highest exponent prime factors to calculate the LCM of 23312 and 23322.

LCM(23312,23322) = 2⁴ × 31¹ × 47¹ × 3¹ × 13² × 23¹
LCM(23312,23322) = 271841232