What is the Least Common Multiple of 85172 and 85189?

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 85172 and 85189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85172 and 85189, than apply into the LCM equation.

GCF(85172,85189) = 1
LCM(85172,85189) = ( 85172 × 85189) / 1
LCM(85172,85189) = 7255717508 / 1
LCM(85172,85189) = 7255717508

Least Common Multiple (LCM) of 85172 and 85189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85172 and 85189. First we will calculate the prime factors of 85172 and 85189.

Prime Factorization of 85172

Prime Factorization of 85189

Now multiplying the highest exponent prime factors to calculate the LCM of 85172 and 85189.

LCM(85172,85189) = 2² × 107¹ × 199¹ × 13¹ × 6553¹
LCM(85172,85189) = 7255717508