What is the Least Common Multiple of 19205 and 19219?

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 19205 and 19219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19205 and 19219, than apply into the LCM equation.

GCF(19205,19219) = 1
LCM(19205,19219) = ( 19205 × 19219) / 1
LCM(19205,19219) = 369100895 / 1
LCM(19205,19219) = 369100895

Least Common Multiple (LCM) of 19205 and 19219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19205 and 19219. First we will calculate the prime factors of 19205 and 19219.

Prime Factorization of 19205

Prime Factorization of 19219

Now multiplying the highest exponent prime factors to calculate the LCM of 19205 and 19219.

LCM(19205,19219) = 5¹ × 23¹ × 167¹ × 19219¹
LCM(19205,19219) = 369100895