What is the Least Common Multiple of 19100 and 19119?

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 19100 and 19119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19100 and 19119, than apply into the LCM equation.

GCF(19100,19119) = 1
LCM(19100,19119) = ( 19100 × 19119) / 1
LCM(19100,19119) = 365172900 / 1
LCM(19100,19119) = 365172900

Least Common Multiple (LCM) of 19100 and 19119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19100 and 19119. First we will calculate the prime factors of 19100 and 19119.

Prime Factorization of 19100

Prime Factorization of 19119

Now multiplying the highest exponent prime factors to calculate the LCM of 19100 and 19119.

LCM(19100,19119) = 2² × 5² × 191¹ × 3¹ × 6373¹
LCM(19100,19119) = 365172900