What is the Least Common Multiple of 19113 and 19123?

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 19113 and 19123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19113 and 19123, than apply into the LCM equation.

GCF(19113,19123) = 1
LCM(19113,19123) = ( 19113 × 19123) / 1
LCM(19113,19123) = 365497899 / 1
LCM(19113,19123) = 365497899

Least Common Multiple (LCM) of 19113 and 19123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19113 and 19123. First we will calculate the prime factors of 19113 and 19123.

Prime Factorization of 19113

Prime Factorization of 19123

Now multiplying the highest exponent prime factors to calculate the LCM of 19113 and 19123.

LCM(19113,19123) = 3¹ × 23¹ × 277¹ × 13¹ × 1471¹
LCM(19113,19123) = 365497899