What is the Least Common Multiple of 85875 and 85880?

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 85875 and 85880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85875 and 85880, than apply into the LCM equation.

GCF(85875,85880) = 5
LCM(85875,85880) = ( 85875 × 85880) / 5
LCM(85875,85880) = 7374945000 / 5
LCM(85875,85880) = 1474989000

Least Common Multiple (LCM) of 85875 and 85880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85875 and 85880. First we will calculate the prime factors of 85875 and 85880.

Prime Factorization of 85875

Prime Factorization of 85880

Now multiplying the highest exponent prime factors to calculate the LCM of 85875 and 85880.

LCM(85875,85880) = 3¹ × 5³ × 229¹ × 2³ × 19¹ × 113¹
LCM(85875,85880) = 1474989000