What is the Least Common Multiple of 86175 and 86180?

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 86175 and 86180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86175 and 86180, than apply into the LCM equation.

GCF(86175,86180) = 5
LCM(86175,86180) = ( 86175 × 86180) / 5
LCM(86175,86180) = 7426561500 / 5
LCM(86175,86180) = 1485312300

Least Common Multiple (LCM) of 86175 and 86180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86175 and 86180. First we will calculate the prime factors of 86175 and 86180.

Prime Factorization of 86175

Prime Factorization of 86180

Now multiplying the highest exponent prime factors to calculate the LCM of 86175 and 86180.

LCM(86175,86180) = 3² × 5² × 383¹ × 2² × 31¹ × 139¹
LCM(86175,86180) = 1485312300