What is the Least Common Multiple of 80012 and 80031?

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 80012 and 80031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80012 and 80031, than apply into the LCM equation.

GCF(80012,80031) = 1
LCM(80012,80031) = ( 80012 × 80031) / 1
LCM(80012,80031) = 6403440372 / 1
LCM(80012,80031) = 6403440372

Least Common Multiple (LCM) of 80012 and 80031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80012 and 80031. First we will calculate the prime factors of 80012 and 80031.

Prime Factorization of 80012

Prime Factorization of 80031

Now multiplying the highest exponent prime factors to calculate the LCM of 80012 and 80031.

LCM(80012,80031) = 2² × 83¹ × 241¹ × 3¹ × 7¹ × 37¹ × 103¹
LCM(80012,80031) = 6403440372