What is the Least Common Multiple of 22401 and 22421?

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 22421 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 22421, than apply into the LCM equation.

GCF(22401,22421) = 1
LCM(22401,22421) = ( 22401 × 22421) / 1
LCM(22401,22421) = 502252821 / 1
LCM(22401,22421) = 502252821

Least Common Multiple (LCM) of 22401 and 22421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22401 and 22421. First we will calculate the prime factors of 22401 and 22421.

Prime Factorization of 22401

Prime Factorization of 22421

Now multiplying the highest exponent prime factors to calculate the LCM of 22401 and 22421.

LCM(22401,22421) = 3² × 19¹ × 131¹ × 7¹ × 3203¹
LCM(22401,22421) = 502252821