What is the Least Common Multiple of 76857 and 76866?

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 76857 and 76866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76857 and 76866, than apply into the LCM equation.

GCF(76857,76866) = 3
LCM(76857,76866) = ( 76857 × 76866) / 3
LCM(76857,76866) = 5907690162 / 3
LCM(76857,76866) = 1969230054

Least Common Multiple (LCM) of 76857 and 76866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76857 and 76866. First we will calculate the prime factors of 76857 and 76866.

Prime Factorization of 76857

Prime Factorization of 76866

Now multiplying the highest exponent prime factors to calculate the LCM of 76857 and 76866.

LCM(76857,76866) = 3¹ × 11¹ × 17¹ × 137¹ × 2¹ × 23¹ × 557¹
LCM(76857,76866) = 1969230054