What is the Least Common Multiple of 19089 and 19100?

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 19089 and 19100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19089 and 19100, than apply into the LCM equation.

GCF(19089,19100) = 1
LCM(19089,19100) = ( 19089 × 19100) / 1
LCM(19089,19100) = 364599900 / 1
LCM(19089,19100) = 364599900

Least Common Multiple (LCM) of 19089 and 19100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19089 and 19100. First we will calculate the prime factors of 19089 and 19100.

Prime Factorization of 19089

Prime Factorization of 19100

Now multiplying the highest exponent prime factors to calculate the LCM of 19089 and 19100.

LCM(19089,19100) = 3³ × 7¹ × 101¹ × 2² × 5² × 191¹
LCM(19089,19100) = 364599900