What is the Least Common Multiple of 18855 and 18874?

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 18855 and 18874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18855 and 18874, than apply into the LCM equation.

GCF(18855,18874) = 1
LCM(18855,18874) = ( 18855 × 18874) / 1
LCM(18855,18874) = 355869270 / 1
LCM(18855,18874) = 355869270

Least Common Multiple (LCM) of 18855 and 18874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18855 and 18874. First we will calculate the prime factors of 18855 and 18874.

Prime Factorization of 18855

Prime Factorization of 18874

Now multiplying the highest exponent prime factors to calculate the LCM of 18855 and 18874.

LCM(18855,18874) = 3² × 5¹ × 419¹ × 2¹ × 9437¹
LCM(18855,18874) = 355869270