What is the Least Common Multiple of 18900 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 18900 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 18900 and 18909, than apply into the LCM equation.

GCF(18900,18909) = 9
LCM(18900,18909) = ( 18900 × 18909) / 9
LCM(18900,18909) = 357380100 / 9
LCM(18900,18909) = 39708900

Least Common Multiple (LCM) of 18900 and 18909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18900 and 18909. First we will calculate the prime factors of 18900 and 18909.

Prime Factorization of 18900

Prime Factorization of 18909

Now multiplying the highest exponent prime factors to calculate the LCM of 18900 and 18909.

LCM(18900,18909) = 2² × 3³ × 5² × 7¹ × 11¹ × 191¹
LCM(18900,18909) = 39708900