What is the Least Common Multiple of 22401 and 22409?

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 22409 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 22409, than apply into the LCM equation.

GCF(22401,22409) = 1
LCM(22401,22409) = ( 22401 × 22409) / 1
LCM(22401,22409) = 501984009 / 1
LCM(22401,22409) = 501984009

Least Common Multiple (LCM) of 22401 and 22409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22401 and 22409. First we will calculate the prime factors of 22401 and 22409.

Prime Factorization of 22401

Prime Factorization of 22409

Now multiplying the highest exponent prime factors to calculate the LCM of 22401 and 22409.

LCM(22401,22409) = 3² × 19¹ × 131¹ × 22409¹
LCM(22401,22409) = 501984009