What is the Least Common Multiple of 85275 and 85284?

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 85275 and 85284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85275 and 85284, than apply into the LCM equation.

GCF(85275,85284) = 9
LCM(85275,85284) = ( 85275 × 85284) / 9
LCM(85275,85284) = 7272593100 / 9
LCM(85275,85284) = 808065900

Least Common Multiple (LCM) of 85275 and 85284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85275 and 85284. First we will calculate the prime factors of 85275 and 85284.

Prime Factorization of 85275

Prime Factorization of 85284

Now multiplying the highest exponent prime factors to calculate the LCM of 85275 and 85284.

LCM(85275,85284) = 3² × 5² × 379¹ × 2² × 23¹ × 103¹
LCM(85275,85284) = 808065900