What is the Least Common Multiple of 76865 and 76875?

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 76865 and 76875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76865 and 76875, than apply into the LCM equation.

GCF(76865,76875) = 5
LCM(76865,76875) = ( 76865 × 76875) / 5
LCM(76865,76875) = 5908996875 / 5
LCM(76865,76875) = 1181799375

Least Common Multiple (LCM) of 76865 and 76875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76865 and 76875. First we will calculate the prime factors of 76865 and 76875.

Prime Factorization of 76865

Prime Factorization of 76875

Now multiplying the highest exponent prime factors to calculate the LCM of 76865 and 76875.

LCM(76865,76875) = 5⁴ × 15373¹ × 3¹ × 41¹
LCM(76865,76875) = 1181799375