What is the Least Common Multiple of 68875 and 68885?

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 68885 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 68885, than apply into the LCM equation.

GCF(68875,68885) = 5
LCM(68875,68885) = ( 68875 × 68885) / 5
LCM(68875,68885) = 4744454375 / 5
LCM(68875,68885) = 948890875

Least Common Multiple (LCM) of 68875 and 68885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68875 and 68885. First we will calculate the prime factors of 68875 and 68885.

Prime Factorization of 68875

Prime Factorization of 68885

Now multiplying the highest exponent prime factors to calculate the LCM of 68875 and 68885.

LCM(68875,68885) = 5³ × 19¹ × 29¹ × 23¹ × 599¹
LCM(68875,68885) = 948890875