What is the Least Common Multiple of 22425 and 22440?

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 22425 and 22440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22425 and 22440, than apply into the LCM equation.

GCF(22425,22440) = 15
LCM(22425,22440) = ( 22425 × 22440) / 15
LCM(22425,22440) = 503217000 / 15
LCM(22425,22440) = 33547800

Least Common Multiple (LCM) of 22425 and 22440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22425 and 22440. First we will calculate the prime factors of 22425 and 22440.

Prime Factorization of 22425

Prime Factorization of 22440

Now multiplying the highest exponent prime factors to calculate the LCM of 22425 and 22440.

LCM(22425,22440) = 3¹ × 5² × 13¹ × 23¹ × 2³ × 11¹ × 17¹
LCM(22425,22440) = 33547800