What is the Least Common Multiple of 83875 and 83880?

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 83875 and 83880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83875 and 83880, than apply into the LCM equation.

GCF(83875,83880) = 5
LCM(83875,83880) = ( 83875 × 83880) / 5
LCM(83875,83880) = 7035435000 / 5
LCM(83875,83880) = 1407087000

Least Common Multiple (LCM) of 83875 and 83880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83875 and 83880. First we will calculate the prime factors of 83875 and 83880.

Prime Factorization of 83875

Prime Factorization of 83880

Now multiplying the highest exponent prime factors to calculate the LCM of 83875 and 83880.

LCM(83875,83880) = 5³ × 11¹ × 61¹ × 2³ × 3² × 233¹
LCM(83875,83880) = 1407087000