What is the Least Common Multiple of 86160 and 86175?

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 86160 and 86175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86160 and 86175, than apply into the LCM equation.

GCF(86160,86175) = 15
LCM(86160,86175) = ( 86160 × 86175) / 15
LCM(86160,86175) = 7424838000 / 15
LCM(86160,86175) = 494989200

Least Common Multiple (LCM) of 86160 and 86175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86160 and 86175. First we will calculate the prime factors of 86160 and 86175.

Prime Factorization of 86160

Prime Factorization of 86175

Now multiplying the highest exponent prime factors to calculate the LCM of 86160 and 86175.

LCM(86160,86175) = 2⁴ × 3² × 5² × 359¹ × 383¹
LCM(86160,86175) = 494989200