What is the Least Common Multiple of 18999 and 19005?

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 18999 and 19005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18999 and 19005, than apply into the LCM equation.

GCF(18999,19005) = 3
LCM(18999,19005) = ( 18999 × 19005) / 3
LCM(18999,19005) = 361075995 / 3
LCM(18999,19005) = 120358665

Least Common Multiple (LCM) of 18999 and 19005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18999 and 19005. First we will calculate the prime factors of 18999 and 19005.

Prime Factorization of 18999

Prime Factorization of 19005

Now multiplying the highest exponent prime factors to calculate the LCM of 18999 and 19005.

LCM(18999,19005) = 3² × 2111¹ × 5¹ × 7¹ × 181¹
LCM(18999,19005) = 120358665