What is the Least Common Multiple of 19005 and 19017?

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 19017 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 19017, than apply into the LCM equation.

GCF(19005,19017) = 3
LCM(19005,19017) = ( 19005 × 19017) / 3
LCM(19005,19017) = 361418085 / 3
LCM(19005,19017) = 120472695

Least Common Multiple (LCM) of 19005 and 19017 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19005 and 19017. First we will calculate the prime factors of 19005 and 19017.

Prime Factorization of 19005

Prime Factorization of 19017

Now multiplying the highest exponent prime factors to calculate the LCM of 19005 and 19017.

LCM(19005,19017) = 3² × 5¹ × 7¹ × 181¹ × 2113¹
LCM(19005,19017) = 120472695