What is the Least Common Multiple of 76845 and 76865?

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 76845 and 76865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76845 and 76865, than apply into the LCM equation.

GCF(76845,76865) = 5
LCM(76845,76865) = ( 76845 × 76865) / 5
LCM(76845,76865) = 5906690925 / 5
LCM(76845,76865) = 1181338185

Least Common Multiple (LCM) of 76845 and 76865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76845 and 76865. First we will calculate the prime factors of 76845 and 76865.

Prime Factorization of 76845

Prime Factorization of 76865

Now multiplying the highest exponent prime factors to calculate the LCM of 76845 and 76865.

LCM(76845,76865) = 3¹ × 5¹ × 47¹ × 109¹ × 15373¹
LCM(76845,76865) = 1181338185