What is the Least Common Multiple of 12009 and 12017?

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 12009 and 12017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12009 and 12017, than apply into the LCM equation.

GCF(12009,12017) = 1
LCM(12009,12017) = ( 12009 × 12017) / 1
LCM(12009,12017) = 144312153 / 1
LCM(12009,12017) = 144312153

Least Common Multiple (LCM) of 12009 and 12017 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12009 and 12017. First we will calculate the prime factors of 12009 and 12017.

Prime Factorization of 12009

Prime Factorization of 12017

Now multiplying the highest exponent prime factors to calculate the LCM of 12009 and 12017.

LCM(12009,12017) = 3¹ × 4003¹ × 61¹ × 197¹
LCM(12009,12017) = 144312153