What is the Least Common Multiple of 19005 and 19012?

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 19005 and 19012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19005 and 19012, than apply into the LCM equation.

GCF(19005,19012) = 7
LCM(19005,19012) = ( 19005 × 19012) / 7
LCM(19005,19012) = 361323060 / 7
LCM(19005,19012) = 51617580

Least Common Multiple (LCM) of 19005 and 19012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19005 and 19012. First we will calculate the prime factors of 19005 and 19012.

Prime Factorization of 19005

Prime Factorization of 19012

Now multiplying the highest exponent prime factors to calculate the LCM of 19005 and 19012.

LCM(19005,19012) = 3¹ × 5¹ × 7² × 181¹ × 2² × 97¹
LCM(19005,19012) = 51617580