What is the Least Common Multiple of 76827 and 76845?

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 76827 and 76845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76827 and 76845, than apply into the LCM equation.

GCF(76827,76845) = 3
LCM(76827,76845) = ( 76827 × 76845) / 3
LCM(76827,76845) = 5903770815 / 3
LCM(76827,76845) = 1967923605

Least Common Multiple (LCM) of 76827 and 76845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76827 and 76845. First we will calculate the prime factors of 76827 and 76845.

Prime Factorization of 76827

Prime Factorization of 76845

Now multiplying the highest exponent prime factors to calculate the LCM of 76827 and 76845.

LCM(76827,76845) = 3¹ × 25609¹ × 5¹ × 47¹ × 109¹
LCM(76827,76845) = 1967923605