What is the Least Common Multiple of 18250 and 18255?

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 18250 and 18255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18250 and 18255, than apply into the LCM equation.

GCF(18250,18255) = 5
LCM(18250,18255) = ( 18250 × 18255) / 5
LCM(18250,18255) = 333153750 / 5
LCM(18250,18255) = 66630750

Least Common Multiple (LCM) of 18250 and 18255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18250 and 18255. First we will calculate the prime factors of 18250 and 18255.

Prime Factorization of 18250

Prime Factorization of 18255

Now multiplying the highest exponent prime factors to calculate the LCM of 18250 and 18255.

LCM(18250,18255) = 2¹ × 5³ × 73¹ × 3¹ × 1217¹
LCM(18250,18255) = 66630750