What is the Least Common Multiple of 40846 and 40866?

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 40846 and 40866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40846 and 40866, than apply into the LCM equation.

GCF(40846,40866) = 2
LCM(40846,40866) = ( 40846 × 40866) / 2
LCM(40846,40866) = 1669212636 / 2
LCM(40846,40866) = 834606318

Least Common Multiple (LCM) of 40846 and 40866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40846 and 40866. First we will calculate the prime factors of 40846 and 40866.

Prime Factorization of 40846

Prime Factorization of 40866

Now multiplying the highest exponent prime factors to calculate the LCM of 40846 and 40866.

LCM(40846,40866) = 2¹ × 13¹ × 1571¹ × 3¹ × 7² × 139¹
LCM(40846,40866) = 834606318