What is the Least Common Multiple of 19189 and 19206?

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 19189 and 19206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19189 and 19206, than apply into the LCM equation.

GCF(19189,19206) = 1
LCM(19189,19206) = ( 19189 × 19206) / 1
LCM(19189,19206) = 368543934 / 1
LCM(19189,19206) = 368543934

Least Common Multiple (LCM) of 19189 and 19206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19189 and 19206. First we will calculate the prime factors of 19189 and 19206.

Prime Factorization of 19189

Prime Factorization of 19206

Now multiplying the highest exponent prime factors to calculate the LCM of 19189 and 19206.

LCM(19189,19206) = 31¹ × 619¹ × 2¹ × 3² × 11¹ × 97¹
LCM(19189,19206) = 368543934