What is the Least Common Multiple of 68875 and 68895?

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 68875 and 68895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68875 and 68895, than apply into the LCM equation.

GCF(68875,68895) = 5
LCM(68875,68895) = ( 68875 × 68895) / 5
LCM(68875,68895) = 4745143125 / 5
LCM(68875,68895) = 949028625

Least Common Multiple (LCM) of 68875 and 68895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68875 and 68895. First we will calculate the prime factors of 68875 and 68895.

Prime Factorization of 68875

Prime Factorization of 68895

Now multiplying the highest exponent prime factors to calculate the LCM of 68875 and 68895.

LCM(68875,68895) = 5³ × 19¹ × 29¹ × 3² × 1531¹
LCM(68875,68895) = 949028625