What is the Least Common Multiple of 22475 and 22494?

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 22475 and 22494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22475 and 22494, than apply into the LCM equation.

GCF(22475,22494) = 1
LCM(22475,22494) = ( 22475 × 22494) / 1
LCM(22475,22494) = 505552650 / 1
LCM(22475,22494) = 505552650

Least Common Multiple (LCM) of 22475 and 22494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22475 and 22494. First we will calculate the prime factors of 22475 and 22494.

Prime Factorization of 22475

Prime Factorization of 22494

Now multiplying the highest exponent prime factors to calculate the LCM of 22475 and 22494.

LCM(22475,22494) = 5² × 29¹ × 31¹ × 2¹ × 3¹ × 23¹ × 163¹
LCM(22475,22494) = 505552650