What is the Least Common Multiple of 43012 and 43019?

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 43012 and 43019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43012 and 43019, than apply into the LCM equation.

GCF(43012,43019) = 1
LCM(43012,43019) = ( 43012 × 43019) / 1
LCM(43012,43019) = 1850333228 / 1
LCM(43012,43019) = 1850333228

Least Common Multiple (LCM) of 43012 and 43019 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43012 and 43019. First we will calculate the prime factors of 43012 and 43019.

Prime Factorization of 43012

Prime Factorization of 43019

Now multiplying the highest exponent prime factors to calculate the LCM of 43012 and 43019.

LCM(43012,43019) = 2² × 10753¹ × 43019¹
LCM(43012,43019) = 1850333228