What is the Least Common Multiple of 19190 and 19209?

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 19190 and 19209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19190 and 19209, than apply into the LCM equation.

GCF(19190,19209) = 19
LCM(19190,19209) = ( 19190 × 19209) / 19
LCM(19190,19209) = 368620710 / 19
LCM(19190,19209) = 19401090

Least Common Multiple (LCM) of 19190 and 19209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19190 and 19209. First we will calculate the prime factors of 19190 and 19209.

Prime Factorization of 19190

Prime Factorization of 19209

Now multiplying the highest exponent prime factors to calculate the LCM of 19190 and 19209.

LCM(19190,19209) = 2¹ × 5¹ × 19¹ × 101¹ × 3¹ × 337¹
LCM(19190,19209) = 19401090