What is the Least Common Multiple of 22450 and 22466?

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 22450 and 22466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22450 and 22466, than apply into the LCM equation.

GCF(22450,22466) = 2
LCM(22450,22466) = ( 22450 × 22466) / 2
LCM(22450,22466) = 504361700 / 2
LCM(22450,22466) = 252180850

Least Common Multiple (LCM) of 22450 and 22466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22450 and 22466. First we will calculate the prime factors of 22450 and 22466.

Prime Factorization of 22450

Prime Factorization of 22466

Now multiplying the highest exponent prime factors to calculate the LCM of 22450 and 22466.

LCM(22450,22466) = 2¹ × 5² × 449¹ × 47¹ × 239¹
LCM(22450,22466) = 252180850