What is the Least Common Multiple of 43009 and 43017?

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 43009 and 43017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43009 and 43017, than apply into the LCM equation.

GCF(43009,43017) = 1
LCM(43009,43017) = ( 43009 × 43017) / 1
LCM(43009,43017) = 1850118153 / 1
LCM(43009,43017) = 1850118153

Least Common Multiple (LCM) of 43009 and 43017 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43009 and 43017. First we will calculate the prime factors of 43009 and 43017.

Prime Factorization of 43009

Prime Factorization of 43017

Now multiplying the highest exponent prime factors to calculate the LCM of 43009 and 43017.

LCM(43009,43017) = 41¹ × 1049¹ × 3¹ × 13¹ × 1103¹
LCM(43009,43017) = 1850118153