What is the Least Common Multiple of 18999 and 19003?

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 19003 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 19003, than apply into the LCM equation.

GCF(18999,19003) = 1
LCM(18999,19003) = ( 18999 × 19003) / 1
LCM(18999,19003) = 361037997 / 1
LCM(18999,19003) = 361037997

Least Common Multiple (LCM) of 18999 and 19003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18999 and 19003. First we will calculate the prime factors of 18999 and 19003.

Prime Factorization of 18999

Prime Factorization of 19003

Now multiplying the highest exponent prime factors to calculate the LCM of 18999 and 19003.

LCM(18999,19003) = 3² × 2111¹ × 31¹ × 613¹
LCM(18999,19003) = 361037997