What is the Least Common Multiple of 85012 and 85031?

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 85012 and 85031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85012 and 85031, than apply into the LCM equation.

GCF(85012,85031) = 1
LCM(85012,85031) = ( 85012 × 85031) / 1
LCM(85012,85031) = 7228655372 / 1
LCM(85012,85031) = 7228655372

Least Common Multiple (LCM) of 85012 and 85031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85012 and 85031. First we will calculate the prime factors of 85012 and 85031.

Prime Factorization of 85012

Prime Factorization of 85031

Now multiplying the highest exponent prime factors to calculate the LCM of 85012 and 85031.

LCM(85012,85031) = 2² × 53¹ × 401¹ × 23¹ × 3697¹
LCM(85012,85031) = 7228655372