What is the Least Common Multiple of 82857 and 82866?

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 82857 and 82866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82857 and 82866, than apply into the LCM equation.

GCF(82857,82866) = 3
LCM(82857,82866) = ( 82857 × 82866) / 3
LCM(82857,82866) = 6866028162 / 3
LCM(82857,82866) = 2288676054

Least Common Multiple (LCM) of 82857 and 82866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82857 and 82866. First we will calculate the prime factors of 82857 and 82866.

Prime Factorization of 82857

Prime Factorization of 82866

Now multiplying the highest exponent prime factors to calculate the LCM of 82857 and 82866.

LCM(82857,82866) = 3¹ × 71¹ × 389¹ × 2¹ × 7¹ × 1973¹
LCM(82857,82866) = 2288676054