What is the Least Common Multiple of 20009 and 20017?

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 20009 and 20017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20009 and 20017, than apply into the LCM equation.

GCF(20009,20017) = 1
LCM(20009,20017) = ( 20009 × 20017) / 1
LCM(20009,20017) = 400520153 / 1
LCM(20009,20017) = 400520153

Least Common Multiple (LCM) of 20009 and 20017 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20009 and 20017. First we will calculate the prime factors of 20009 and 20017.

Prime Factorization of 20009

Prime Factorization of 20017

Now multiplying the highest exponent prime factors to calculate the LCM of 20009 and 20017.

LCM(20009,20017) = 11¹ × 17¹ × 107¹ × 37¹ × 541¹
LCM(20009,20017) = 400520153