What is the Least Common Multiple of 85160 and 85180?

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 85160 and 85180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85160 and 85180, than apply into the LCM equation.

GCF(85160,85180) = 20
LCM(85160,85180) = ( 85160 × 85180) / 20
LCM(85160,85180) = 7253928800 / 20
LCM(85160,85180) = 362696440

Least Common Multiple (LCM) of 85160 and 85180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85160 and 85180. First we will calculate the prime factors of 85160 and 85180.

Prime Factorization of 85160

Prime Factorization of 85180

Now multiplying the highest exponent prime factors to calculate the LCM of 85160 and 85180.

LCM(85160,85180) = 2³ × 5¹ × 2129¹ × 4259¹
LCM(85160,85180) = 362696440