What is the Least Common Multiple of 85075 and 85086?

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 85075 and 85086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85075 and 85086, than apply into the LCM equation.

GCF(85075,85086) = 1
LCM(85075,85086) = ( 85075 × 85086) / 1
LCM(85075,85086) = 7238691450 / 1
LCM(85075,85086) = 7238691450

Least Common Multiple (LCM) of 85075 and 85086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85075 and 85086. First we will calculate the prime factors of 85075 and 85086.

Prime Factorization of 85075

Prime Factorization of 85086

Now multiplying the highest exponent prime factors to calculate the LCM of 85075 and 85086.

LCM(85075,85086) = 5² × 41¹ × 83¹ × 2¹ × 3² × 29¹ × 163¹
LCM(85075,85086) = 7238691450