What is the Least Common Multiple of 85140 and 85160?

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 85140 and 85160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85140 and 85160, than apply into the LCM equation.

GCF(85140,85160) = 20
LCM(85140,85160) = ( 85140 × 85160) / 20
LCM(85140,85160) = 7250522400 / 20
LCM(85140,85160) = 362526120

Least Common Multiple (LCM) of 85140 and 85160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85140 and 85160. First we will calculate the prime factors of 85140 and 85160.

Prime Factorization of 85140

Prime Factorization of 85160

Now multiplying the highest exponent prime factors to calculate the LCM of 85140 and 85160.

LCM(85140,85160) = 2³ × 3² × 5¹ × 11¹ × 43¹ × 2129¹
LCM(85140,85160) = 362526120