What is the Least Common Multiple of 18450 and 18459?

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 18450 and 18459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18450 and 18459, than apply into the LCM equation.

GCF(18450,18459) = 9
LCM(18450,18459) = ( 18450 × 18459) / 9
LCM(18450,18459) = 340568550 / 9
LCM(18450,18459) = 37840950

Least Common Multiple (LCM) of 18450 and 18459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18450 and 18459. First we will calculate the prime factors of 18450 and 18459.

Prime Factorization of 18450

Prime Factorization of 18459

Now multiplying the highest exponent prime factors to calculate the LCM of 18450 and 18459.

LCM(18450,18459) = 2¹ × 3² × 5² × 41¹ × 7¹ × 293¹
LCM(18450,18459) = 37840950