What is the Least Common Multiple of 85170 and 85187?

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 85170 and 85187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85170 and 85187, than apply into the LCM equation.

GCF(85170,85187) = 17
LCM(85170,85187) = ( 85170 × 85187) / 17
LCM(85170,85187) = 7255376790 / 17
LCM(85170,85187) = 426786870

Least Common Multiple (LCM) of 85170 and 85187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85170 and 85187. First we will calculate the prime factors of 85170 and 85187.

Prime Factorization of 85170

Prime Factorization of 85187

Now multiplying the highest exponent prime factors to calculate the LCM of 85170 and 85187.

LCM(85170,85187) = 2¹ × 3¹ × 5¹ × 17¹ × 167¹ × 5011¹
LCM(85170,85187) = 426786870