What is the Least Common Multiple of 85116 and 85125?

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 85116 and 85125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85116 and 85125, than apply into the LCM equation.

GCF(85116,85125) = 3
LCM(85116,85125) = ( 85116 × 85125) / 3
LCM(85116,85125) = 7245499500 / 3
LCM(85116,85125) = 2415166500

Least Common Multiple (LCM) of 85116 and 85125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85116 and 85125. First we will calculate the prime factors of 85116 and 85125.

Prime Factorization of 85116

Prime Factorization of 85125

Now multiplying the highest exponent prime factors to calculate the LCM of 85116 and 85125.

LCM(85116,85125) = 2² × 3¹ × 41¹ × 173¹ × 5³ × 227¹
LCM(85116,85125) = 2415166500