What is the Least Common Multiple of 78853 and 78866?

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 78853 and 78866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78853 and 78866, than apply into the LCM equation.

GCF(78853,78866) = 1
LCM(78853,78866) = ( 78853 × 78866) / 1
LCM(78853,78866) = 6218820698 / 1
LCM(78853,78866) = 6218820698

Least Common Multiple (LCM) of 78853 and 78866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78853 and 78866. First we will calculate the prime factors of 78853 and 78866.

Prime Factorization of 78853

Prime Factorization of 78866

Now multiplying the highest exponent prime factors to calculate the LCM of 78853 and 78866.

LCM(78853,78866) = 78853¹ × 2¹ × 47¹ × 839¹
LCM(78853,78866) = 6218820698