What is the Least Common Multiple of 19188 and 19205?

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 19188 and 19205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19188 and 19205, than apply into the LCM equation.

GCF(19188,19205) = 1
LCM(19188,19205) = ( 19188 × 19205) / 1
LCM(19188,19205) = 368505540 / 1
LCM(19188,19205) = 368505540

Least Common Multiple (LCM) of 19188 and 19205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19188 and 19205. First we will calculate the prime factors of 19188 and 19205.

Prime Factorization of 19188

Prime Factorization of 19205

Now multiplying the highest exponent prime factors to calculate the LCM of 19188 and 19205.

LCM(19188,19205) = 2² × 3² × 13¹ × 41¹ × 5¹ × 23¹ × 167¹
LCM(19188,19205) = 368505540