What is the Least Common Multiple of 22466 and 22481?

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 22466 and 22481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22466 and 22481, than apply into the LCM equation.

GCF(22466,22481) = 1
LCM(22466,22481) = ( 22466 × 22481) / 1
LCM(22466,22481) = 505058146 / 1
LCM(22466,22481) = 505058146

Least Common Multiple (LCM) of 22466 and 22481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22466 and 22481. First we will calculate the prime factors of 22466 and 22481.

Prime Factorization of 22466

Prime Factorization of 22481

Now multiplying the highest exponent prime factors to calculate the LCM of 22466 and 22481.

LCM(22466,22481) = 2¹ × 47¹ × 239¹ × 22481¹
LCM(22466,22481) = 505058146