What is the Least Common Multiple of 18258 and 18264?

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 18258 and 18264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18258 and 18264, than apply into the LCM equation.

GCF(18258,18264) = 6
LCM(18258,18264) = ( 18258 × 18264) / 6
LCM(18258,18264) = 333464112 / 6
LCM(18258,18264) = 55577352

Least Common Multiple (LCM) of 18258 and 18264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18258 and 18264. First we will calculate the prime factors of 18258 and 18264.

Prime Factorization of 18258

Prime Factorization of 18264

Now multiplying the highest exponent prime factors to calculate the LCM of 18258 and 18264.

LCM(18258,18264) = 2³ × 3¹ × 17¹ × 179¹ × 761¹
LCM(18258,18264) = 55577352