What is the Least Common Multiple of 85360 and 85365?

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 85360 and 85365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85360 and 85365, than apply into the LCM equation.

GCF(85360,85365) = 5
LCM(85360,85365) = ( 85360 × 85365) / 5
LCM(85360,85365) = 7286756400 / 5
LCM(85360,85365) = 1457351280

Least Common Multiple (LCM) of 85360 and 85365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85360 and 85365. First we will calculate the prime factors of 85360 and 85365.

Prime Factorization of 85360

Prime Factorization of 85365

Now multiplying the highest exponent prime factors to calculate the LCM of 85360 and 85365.

LCM(85360,85365) = 2⁴ × 5¹ × 11¹ × 97¹ × 3² × 7¹ × 271¹
LCM(85360,85365) = 1457351280