What is the Least Common Multiple of 93875 and 93880?

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 93875 and 93880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93875 and 93880, than apply into the LCM equation.

GCF(93875,93880) = 5
LCM(93875,93880) = ( 93875 × 93880) / 5
LCM(93875,93880) = 8812985000 / 5
LCM(93875,93880) = 1762597000

Least Common Multiple (LCM) of 93875 and 93880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93875 and 93880. First we will calculate the prime factors of 93875 and 93880.

Prime Factorization of 93875

Prime Factorization of 93880

Now multiplying the highest exponent prime factors to calculate the LCM of 93875 and 93880.

LCM(93875,93880) = 5³ × 751¹ × 2³ × 2347¹
LCM(93875,93880) = 1762597000