What is the Least Common Multiple of 22704 and 22720?

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 22704 and 22720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22704 and 22720, than apply into the LCM equation.

GCF(22704,22720) = 16
LCM(22704,22720) = ( 22704 × 22720) / 16
LCM(22704,22720) = 515834880 / 16
LCM(22704,22720) = 32239680

Least Common Multiple (LCM) of 22704 and 22720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22704 and 22720. First we will calculate the prime factors of 22704 and 22720.

Prime Factorization of 22704

Prime Factorization of 22720

Now multiplying the highest exponent prime factors to calculate the LCM of 22704 and 22720.

LCM(22704,22720) = 2⁶ × 3¹ × 11¹ × 43¹ × 5¹ × 71¹
LCM(22704,22720) = 32239680