What is the Least Common Multiple of 22401 and 22416?

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 22401 and 22416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22401 and 22416, than apply into the LCM equation.

GCF(22401,22416) = 3
LCM(22401,22416) = ( 22401 × 22416) / 3
LCM(22401,22416) = 502140816 / 3
LCM(22401,22416) = 167380272

Least Common Multiple (LCM) of 22401 and 22416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22401 and 22416. First we will calculate the prime factors of 22401 and 22416.

Prime Factorization of 22401

Prime Factorization of 22416

Now multiplying the highest exponent prime factors to calculate the LCM of 22401 and 22416.

LCM(22401,22416) = 3² × 19¹ × 131¹ × 2⁴ × 467¹
LCM(22401,22416) = 167380272