What is the Least Common Multiple of 18904 and 18909?

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 18904 and 18909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18904 and 18909, than apply into the LCM equation.

GCF(18904,18909) = 1
LCM(18904,18909) = ( 18904 × 18909) / 1
LCM(18904,18909) = 357455736 / 1
LCM(18904,18909) = 357455736

Least Common Multiple (LCM) of 18904 and 18909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18904 and 18909. First we will calculate the prime factors of 18904 and 18909.

Prime Factorization of 18904

Prime Factorization of 18909

Now multiplying the highest exponent prime factors to calculate the LCM of 18904 and 18909.

LCM(18904,18909) = 2³ × 17¹ × 139¹ × 3² × 11¹ × 191¹
LCM(18904,18909) = 357455736