What is the Least Common Multiple of 85012 and 85017?

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 85017 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 85017, than apply into the LCM equation.

GCF(85012,85017) = 1
LCM(85012,85017) = ( 85012 × 85017) / 1
LCM(85012,85017) = 7227465204 / 1
LCM(85012,85017) = 7227465204

Least Common Multiple (LCM) of 85012 and 85017 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85012 and 85017. First we will calculate the prime factors of 85012 and 85017.

Prime Factorization of 85012

Prime Factorization of 85017

Now multiplying the highest exponent prime factors to calculate the LCM of 85012 and 85017.

LCM(85012,85017) = 2² × 53¹ × 401¹ × 3¹ × 17¹ × 1667¹
LCM(85012,85017) = 7227465204