What is the Least Common Multiple of 19206 and 19226?

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 19206 and 19226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19206 and 19226, than apply into the LCM equation.

GCF(19206,19226) = 2
LCM(19206,19226) = ( 19206 × 19226) / 2
LCM(19206,19226) = 369254556 / 2
LCM(19206,19226) = 184627278

Least Common Multiple (LCM) of 19206 and 19226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19206 and 19226. First we will calculate the prime factors of 19206 and 19226.

Prime Factorization of 19206

Prime Factorization of 19226

Now multiplying the highest exponent prime factors to calculate the LCM of 19206 and 19226.

LCM(19206,19226) = 2¹ × 3² × 11¹ × 97¹ × 9613¹
LCM(19206,19226) = 184627278