What is the Least Common Multiple of 18432 and 18450?

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 18432 and 18450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18432 and 18450, than apply into the LCM equation.

GCF(18432,18450) = 18
LCM(18432,18450) = ( 18432 × 18450) / 18
LCM(18432,18450) = 340070400 / 18
LCM(18432,18450) = 18892800

Least Common Multiple (LCM) of 18432 and 18450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18432 and 18450. First we will calculate the prime factors of 18432 and 18450.

Prime Factorization of 18432

Prime Factorization of 18450

Now multiplying the highest exponent prime factors to calculate the LCM of 18432 and 18450.

LCM(18432,18450) = 2¹¹ × 3² × 5² × 41¹
LCM(18432,18450) = 18892800